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United States Patent
5640493
Skeirik
June 17, 1997
Title
Historical database training method for neural networks
Abstract
An on-line training neural network for controlling a process for producing a product having at least one product property that trains by retrieving training sets from a stream of process data. The neural network detects the availability of new training data, and constructs a training set by retrieving the corresponding input data. The neural network is trained using the training set. Over time, many training sets are presented to the neural network. When multiple presentations are needed to effectively train, a buffer of training sets is filled and updated as new training data becomes available. The size of the buffer is selected in accordance with the training needs of the neural network. Once the buffer is full, a new training set bumps the oldest training set off the top of the buffer stack. The training sets in the buffer stack can be presented one or more times each time a new training set is constructed. An historical database of timestamped data can be used to construct training sets when training input data has a time delay from sample time to availability for the neural network. The timestamps of the training input data are used to select input data for use in the training set. Using the historical database, the neural network can be trained retrospectively by searching the historical database and constructing training sets based on past data.
Inventors:
Skeirik; Richard D.
(Newark,
DE
)
Assignee:
E. I. Du Pont de Nemours & Co., Inc.
(Wilmington,
DE
)
Appl. No.:
422955
Filed:
April 17, 1995
Current U.S. Class:
706/25
706/23
Current International Class:
G05B 13/02 (20060101)
Field of Search:
382/12-15,155-159 395/20-25,27,26 364/420
U.S. Patent Documents
4954963
September 1990
Penz et al.
4975961
December 1990
Sakoe
5111531
May 1992
Grayson et al.
5140523
August 1992
Frankel et al.
5214715
May 1993
Carpenter et al.
5398300
March 1995
Levey
5408586
April 1995
Sheirik
Foreign Patent Documents
0384689
Aug., 1990
EP
1224804
Sep., 1989
JP
WO8903092
Apr., 1989
WO
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Primary Examiner:
Hafiz; Tariq R.
Attorney, Agent or Firm:
Sterne, Kessler, Goldstein & Fox P.L.L.C.
Parent Case Text
This application is a division of application Ser. No. 08/042,500, filed Apr. 2, 1993 (allowed), which is a division of application Ser. No. 07/563,092, filed Aug. 3, 1990 (issued) now U.S. Pat. No. 5,408,586 and U.S. Pat. No. 5,212,765.
Claims
I claim:
1. A method for constructing training sets for a neural network, comprising the steps of:
(1) developing a first training set for a neural network by:
(a) retrieving from an historical database first training input data having a first timestamp(s);
(b) selecting a first training input data time based on said first timestamp(s);
(c) retrieving a first input data indicated by said first training input data time; and
(2) developing a second training set for said neural network by:
(a) retrieving from said historical database second training input data having a second timestamp(s);
(b) selecting a second training input data time based on said second timestamp(s);
(c) retrieving a second input data indicated by said second training input data time.
2. The method of claim 1, further comprising a step of:
(3) searching said historical database in either a forward time direction or a backward time direction so that said second training input data is the next training input data in time to said first training input data in said forward time direction or said backward time direction, whichever is used.
3. The method of claim 1, further comprising the step of (3) training or retraining said neural network using said first training set and/or said second training set.
4. A computer neural network process control method adapted for predicting output data provided to a controller used to control a process for producing a product having at least one product property, the computer neural network process control method comprising the steps of:
(1) monitoring for the availability of new training input data by monitoring for a change in an associated timestamp of said training input data;
(2) constructing a training set by retrieving first input data corresponding to said training input data;
(3) training the neural network using said training set; and
(4) predicting the output data from second input data using the neural network.
5. The computer neural network process control method of claim 4, wherein step (2) further comprises a step of using data pointers to indicate said training input data and said first input data.
6. The computer neural network process control method of claim 4, wherein:
(a) step (1) is preceded by the steps:
(i) presenting to a user a template for a partially specified neural network; and
(ii) entering data into said template to create a complete neural network specification; and
(b) step (3) further comprises a step of using a neural network representative of said complete neural network specification.
7. The computer neural network process control method of claim 4, wherein:
(a) step (1) is preceded by:
(i) presenting to a user an interface for accepting a limited set of natural language format specifications; and
(ii) entering into said interface sufficient specifications in said substantially natural language format to completely define a neural network; and
(b) step (3) further comprises a step of using a neural network representative of said completely defined neural network.
8. The computer neural network process control method of claim 4, wherein steps (1), (2), and (3) operate in real-time.
9. A method for constructing training sets for a neural network, comprising the steps of:
(a) retrieving, from an historical database, training input data having a timestamp(s);
(b) selecting a training input data time based on said timestamp(s); and
(c) retrieving an input data indicated by said training input data time.
10. A computer neural network process control method adapted for predicting output data provided to a controller used to control a process for producing a product having at least one product property, the computer neural network process control method comprising the steps of:
(1) monitoring for the availability of new training input data;
(2) constructing a training set by retrieving first input data corresponding to said training input data including the steps of,
(a) selecting a training input data time using a timestamp(s) associated with said training input data; and
(b) retrieving input data representing measurement(s) at said training input data time, said input data comprising said first input data;
(3) training the neural network using said training set; and
(4) predicting the output data from second input data using the neural network.
11. The computer neural network process control method of claim 10, wherein step (1) comprises a step of monitoring for a change between two successive training input data values.
12. The computer neural network process control method of claim 10, wherein step (1) comprises a step of computing a difference between a most recent training input data value and a next most recent training input value; and
wherein step (3) further comprises a step of using said difference with said first input data for said training.
13. The computer neural network process control method of claim 10, wherein step (2) further comprises a step of using data pointers to indicate said training input data and said first input data.
14. The computer neural network process control method of claim 10, wherein steps (1), (2) and (3) operate in real-time.
15. A computer neural network process control method adapted for predicting output data provided to a controller used to control a process for producing a product having at least one product property, the computer neural network process control method comprising the steps of:
(1) presenting to a user a template for a partially specified neural network;
(2) entering data into said template to create a complete neural network specification;
(3) monitoring for the availability of new training input data;
(4) constructing a training set by retrieving first input data corresponding to said training input data;
(5) training the neural network using said training set, said training step further including using a neural network representative of said complete neural network specification; and
(6) predicting the output data from second input data using the neural network.
16. The computer neural network process control method of claim 15, wherein step (3) comprises a step of monitoring for a change between two successive training input data values.
17. The computer neural network process control method of claim 15, wherein step (3) comprises a step of computing a difference between a most recent training input data value and a next most recent training input value; and
wherein step (5) further comprises a step of using said difference with said first input data for said training.
18. The computer neural network process control method of claim 15, wherein step (4) further comprises a step of using data pointers to indicate said training input data and said first input data.
19. The computer neural network process control method of claim 15, wherein steps (3), (4) and (5) operate in real-time.
20. A computer neural network process control method adapted for predicting output data provided to a controller used to control a process for producing a product having at least one product property, the computer neural network process control method comprising the steps of:
(1) presenting to a user an interface for accepting a limited set of natural language format specifications;
(2) entering into said interface sufficient specifications in said substantially natural language format to completely define a neural network;
(3) monitoring for the availability of new training input data;
(4) constructing a training set by retrieving first input data corresponding to said training input data;
(5) training the neural network using said training set, wherein said training step further includes using a neural network representative of said completely defined neural network; and
(6) predicting the output data from second input data using the neural network.
21. The computer neural network process control method of claim 20, wherein step (3) comprises a step of monitoring for a change between two successive training input data values.
22. The computer neural network process control method of claim 20, wherein step (3) comprises a step of computing a difference between a most recent training input data value and a next most recent training input value; and
wherein step (5) further comprises a step of using said difference with said first input data for said training.
23. The computer neural network process control method of claim 20, wherein step (4) further comprises a step of using data pointers to indicate said training input data and said first input data.
24. The computer neural network process control method of claim 20, wherein steps (3), (4) and (5) operate in real-time.
Description
INCORPORATED BY REFERENCE
Incorporated by reference in their entirety herein are the following U.S. patents and patent applications (naming Richard D. Skeirik as the sole or one of the inventors):
U.S. Pat. No. 4,920,499, issued Apr. 24, 1990;
U.S. Pat. No. 4,884,217, issued Nov. 28, 1989;
U.S. Pat. No. 4,907,167, issued Mar. 6, 1990;
U.S. Pat. No. 4,910,691, issued Mar. 20, 1990;
Allowed U.S. patent application Ser. No. 07/103,014, filed Sep. 30, 1987;
Allowed U.S. patent application Ser. No. 07/103,047, filed Sep. 30, 1987; and
Pending U.S. patent application Ser. No. 07/333,536, filed Apr. 5, 1989.
BACKGROUND OF THE INVENTION
I. Field of the Invention
The present invention relates generally to monitoring and control of manufacturing processes, particularly chemical processes, and more specifically, to neural networks used in process control of such processes.
II. Related Art
Quality of products is increasingly important. The control of quality and the reproducibility of quality are the focus of many efforts. For example, in Europe, quality is the focus of the ISO (International Standards Organization, Geneva, Switzerland) 9000 standards. These rigorous standards provide for quality assurance in production, installation, final inspection, and testing. They also provide guidelines for quality assurance between a supplier and customer. These standards are expected to become an effective requirement for participation in the EC (European Community) after the removal of trade barriers in 1992.
The quality of a manufactured product is a combination of all of the properties of the product which affect its usefulness to its user. Process control is the collection of methods used to produce the best possible product properties in a manufacturing process.
Process control is very important in the manufacture of products. Improper process control can result in a product which is totally useless to the user, or in a product which has a lower value to the user. When either of these situations occur, the manufacturer suffers (1) by paying the cost of manufacturing useless products, (2) by losing the opportunity to profitably make a product during that time, and (3) by lost revenue from reduced selling price of poor products. In the final analysis, the effectiveness of the process control used by a manufacturer can determine whether the manufacturer's business survives or fails.
A. Quality and Process Conditions
FIG. 19 shows, in block diagram form, key concepts concerning products made in a manufacturing process. Referring now to FIG. 19, raw materials 1222 are processed under (controlled) process conditions 1906 in a process 1212 to produce a product
1216 having product properties 1904. Examples of raw materials 1222, process conditions 1906, and product properties 1904 are shown in FIG. 19. It should be understood that these are merely examples for purposes of illustration.
FIG. 20 shows a more detailed block diagram of the various aspects of the manufacturing of products 1216 using process 1212. Referring now to FIGS. 19 and 20, product 1216 is defined by one or more product property aim value(s) 2006 of its product properties 1904. The product property aim values 2006 of the product properties 1904 are those which the product 1216 needs to have in order for it to be ideal for its intended end use. The objective in running process 1212 is to manufacture products 1216 having product properties 1904 which are exactly at the product property aim value(s) 2006.
The following simple example of a process 1212 is presented merely for purposes of illustration. The example process 1212 is the baking of a cake. Raw materials 1222 (such as flour, milk, baking powder, lemon flavoring, etc.) are processed in a baking process 1212 under (controlled) process conditions 1906. Examples of the (controlled) process conditions 1906 are: mix batter until uniform, bake batter in a pan at a preset oven temperature for a preset time, remove baked cake from pan, and allow removed cake to cool to room temperature.
The product 1216 produced in this example is a cake having desired properties 1904. For example, these desired product properties 1904 can be a cake that is fully cooked but not burned, brown on the outside, yellow on the inside, having a suitable lemon flavoring, etc.
Returning now to the general case, the actual product properties 1904 of product 1216 produced in a process 1212 are determined by the combination of all of the process conditions 1906 of process 1212 and the raw materials 1222 that are utilized. Process conditions 1906 can be, for example, the properties of the raw materials 1222, the speed at which process 1212 runs (also called the production rate of the process 1212), the process conditions 1906 in each step or stage of the process 1212 (such as temperature, pressure, etc.), the duration of each step or stage, and so on.
B. Controlling Process Conditions
FIG. 20 shows a more detailed block diagram of the various aspects of the manufacturing of products 1216 using process 1212. FIGS. 19 and 20 should be referred to in connection with the following description.
To effectively operate process 1212, the process conditions 1906 must be maintained at one or more process condition setpoint(s) or aim value(s) (called a regulatory controller setpoint(s) in the example of FIG. 14) 1404 so that the product 1216
produced will have the product properties 1904 matching the desired product property aim value(s) 2006. This task can be divided into three parts or aspects for purposes of explanation.
In the first part or aspect, the manufacturer must set (step 2008) initial settings of the process condition setpoint(s) (or aim value(s)) 1404 in order for the process 1212 to produce a product 1216 having the desired product property aim values
2006. Referring back to the example set forth above, this would be analogous to deciding to set the temperature of the oven to a particular setting before beginning the baking of the cake batter.
The second step or aspect involves measurement and adjustment of the process 1212. Specifically, process conditions 1906 must be measured to produce a process condition measurement(s) 1224. The process condition measurement(s) 1224 must be used to generate adjustment(s) 1208 (called controller output data in the example of FIG. 12) to a controllable process state(s) 2002 so as to hold the process conditions 1906 as close as possible to process condition setpoint 1404. Referring again to the example above, this is analogous to the way the oven measures the temperature and turns the heating element on or off so as to maintain the temperature of the oven at the desired temperature value.
The third stage or aspect involves holding a product property measurement(s) of the product properties 1904 as close as possible to the product property aim value(s) 2006. This involves producing product property measurement(s) 1304 based on the product properties 1904 of the product 1216. From these measurements, adjustment to process condition setpoint 1402 to the process condition setpoint(s) 1404 must be made so as to maintain process condition(s) 1906. Referring again to the example above, this would be analogous to measuring how well the cake is baked. This could be done, for example, by sticking a toothpick into the cake and adjusting the temperature during the baking step so that the toothpick eventually comes out clean.
It should be understood that the previous description is intended only to show the general conditions of process control and the problems associated with it in terms of producing products of predetermined quality and properties. It can be readily understood that there are many variations and combinations of tasks that are encountered in a given process situation. Often, process control problems can be very complex.
One aspect of a process being controlled is the speed with which the process responds. Although processes may be very complex in their response patterns, it is often helpful to define a time constant for control of a process. The time constant is simply an estimate of how quickly control actions must be carried out in order to effectively control the process.
In recent years, there has been a great push towards the automation of process control. The motivation for this is that such automation results in the manufacture of products of desired product properties where the manufacturing process that is used is too complex, too time-consuming, or both, for people to deal with manually.
Thus, the process control task can be generalized as being made up of five basic steps or stages as follows:
(1) the initial setting 2008 of process condition setpoint(s);
(2) producing process condition measurement(s) 1224 of the process condition(s) 1906;
(3) adjusting 1208 controllable process state(s) 2002 in response to the process condition measurement(s) 1224;
(4) producing product property measurement(s) 1304 based on product properties 1904 of the manufactured product 1216; and
(5) adjusting 1402 process condition setpoint(s) 1404 in response to the product property measurements 1304.
The explanation which follows explains the problems associated with meeting and optimizing these five steps.
C. The Measurement problem
As shown above, the second and fourth steps or aspects of process control involve measurement 1224 of process conditions 1906 and measurement 1304 of product properties 1904. Such measurements are sometimes very difficult, if not impossible, to effectively perform for process control.
For many products, the important product properties 1904 relate to the end use of the product and not to the process conditions 1906 of the process 1212. One illustration of this involves the manufacture of carpet fiber. An important product property 1904 of carpet fiber is how uniformly the fiber accepts the dye applied by the carpet maker. Another example involves the cake example set forth above. An important product property 1904 of a baked cake is how well the cake resists breaking apart when the frosting is applied. Typically, the measurement of such product properties 1904 is difficult and/or time consuming and/or expensive to make.
An example of this problem can be shown in connection with the carpet fiber example. The ability of the fiber to uniformly accept dye can be measured by a laboratory (lab) in which dye samples of the carpet fiber are used. However, such measurements can be unreliable. For example, it may take a number of tests before a reliable result can be obtained. Furthermore, such measurements can also be slow. In this example, it may take so long to conduct the dye test that the manufacturing process can significantly change and be producing different product properties 1904 before the lab test results are available for use in controlling the process 1212.
It should be noted, however, that some process condition measurements 1224 are inexpensive, take little time, and are quite reliable. Temperature typically can be measured easily, inexpensively, quickly, and reliably. For example, the temperature of the water in a tank can often be easily measured. But oftentimes process conditions 1906 make such easy measurements much more difficult to achieve. For example, it may be difficult to determine the level of a foaming liquid in a vessel. Moreover, a corrosive process may destroy measurement sensors, such as those used to measure pressure.
Regardless of whether or not measurement of a particular process condition 1906 or product property 1904 is easy or difficult to obtain, such measurement may be vitally important to the effective and necessary control of the process 1212. It can thus be appreciated that it would be preferable if a direct measurement of a specific process condition 1906 and/or product property 1904 could be obtained in an inexpensive, reliable, short time period and effective manner.
D. Conventional Computer Models as Predictors of Desired Measurements
As stated above, the direct measurement of the process conditions 1906 and the product properties 1904 is often difficult, if not impossible, to do effectively.
One response to this deficiency in process control has been the development of computer models (not shown) as predictors of desired-measurements. These computer models are used to create values used to control the process 1212 based on inputs that are not identical to the particular process conditions 1906 and/or product properties 1904 that are critical to the control of the process 1212. In other words, these computer models are used to develop predictions (estimates) of the particular process conditions 1906 or product properties 1904. These predictions are used to adjust the controllable process state 2002 or the process condition setpoint 1404.
Such conventional computer models, as explained below, have limitations. To better understand these limitations and how the present invention overcomes them, a brief description of each of these conventional models is set forth.
1. Fundamental Models
A computer-based fundamental model (not shown) uses known information about the process 1212 to predict desired unknown information, such as product conditions 1906 and product properties 1904. A fundamental model is based on scientific and engineering principles. Such principles include the conservation of material and energy, the equality of forces, and so on. These basic scientific and engineering principles are expressed as equations which are solved mathematically or numerically, usually using a computer program. Once solved, these equations give the desired prediction of unknown information.
Conventional computer fundamental models have significant limitations, such as:
(1) They are difficult to create since the process 1212 must be described at the level of scientific understanding, which is usually very detailed;
(2) Not all processes 1212 are understood in basic engineering and scientific principles in a way that can be computer modeled;
(3) Some product properties 1904 are not adequately described by the results of the computer fundamental models; and
(4) The number of skilled computer model builders is limited, and the cost associated with building such models is thus quite high.
These problems result in computer fundamental models being practical only in some cases where measurement is difficult or impossible to achieve.
2. Empirical Statistical Models
Another conventional approach to solving measurement problems is the use of a computer-based statistical model (not shown).
Such a computer-based statistical model uses known information about the process 1212 to determine desired information that cannot be effectively measured. A statistical model is based on the correlation of measurable process conditions 1906 or product properties 1904 of the process 1212.
To use an example of a computer-based statistical model, assume that it is desired to be able to predict the color of a plastic product 1216. This is very difficult to measure directly, and takes considerable time to perform. In order to build a computer-based statistical model which will produce this desired product property 1904 information, the model builder would need to have a base of experience, including known information and actual measurements of desired information. For example, known information is such things as the temperature at which the plastic is processed. Actual measurements of desired information are the actual measurements of the color of the plastic.
A mathematical relationship (also called an equation) between the known information and the desired unknown information must be created by the developer of the empirical statistical model. The relationship contains one or more constants (which are assigned numerical values) which affect the value of the predicted information from any given known information. A computer program uses many different measurements of known information, with their corresponding actual measurements of desired information, to adjust these constants so that the best possible prediction results are achieved by the empirical statistical model. Such computer program, for example, can use non-linear regression.
Computer-based statistical models can sometimes predict product properties 1904 which are not well described by computer fundamental models. However, there are significant problems associated with computer statistical models, which include the following:
(1) Computer statistical models require a good design of the model relationships (that is, the equations) or the predictions will be poor;
(2) Statistical methods used to adjust the constants typically are difficult to use;
(3) Good adjustment of the constants cannot always be achieved in such statistical models; and
(4) As is the case with fundamental models, the number of skilled statistical model builders is limited, and thus the cost of creating and maintaining such statistical models is high.
The result of these deficiencies is that computer-based empirical statistical models are practical in only some cases where the process conditions 1906 and/or product properties 1904 cannot be effectively measured.
E. Deficiencies in the Related Art
As set forth above, there are considerable deficiencies in conventional approaches to obtaining desired measurements for the process conditions 1906 and product properties 1904 using conventional direct measurement, computer fundamental models, and computer statistical models. Some of these deficiencies are as follows:
(1) Product properties 1904 are often difficult to measure.
(2) Process conditions 1906 are often difficult to measure.
(3) Determining the initial value or settings of the process conditions 1906 when making a new product 1216 is often difficult.
(4) Conventional computer models work only in a small percentage of cases when used as substitutes for measurements.
These and other deficiencies in the conventional technology are overcome by the system and method of the present invention.
SUMMARY OF THE INVENTION
The present invention is an on-line training neural network system and method for process control. The neural network trains by retrieving training sets from the stream of process data. The neural network detects the availability of new training data, and constructs a training set by retrieving the corresponding input data. The neural network is trained using the training set. Over time, many training sets are presented to the neural network.
The neural network can detect training input data in several ways. In one approach, the neural network monitors for changes in the data value of training input data. A change indicates that new data is available. In a second approach, the neural network computes changes in raw training input data from one cycle to the next. The changes are indicative of the action of human operators or other actions in the process. In a third mode, a historical database is used and the neural network monitors for changes in a timestamp of the training input data. Often laboratory data is used as training input data in this approach.
When new training input data is detected, the neural network constructs a training set by retrieving input data corresponding to the new training input data. Often, the current or most recent values of the input data are used. When a historical database provides both the training input data and the input data, the input data is retrieved from the historical database as a time selected using the timestamps of the training input data.
For some neural networks or training situations, multiple presentations of each training set are needed to effectively train the neural network. In this case, a buffer of training sets is filled and updated as new training data becomes available. The size of the buffer is selected in accordance with the training needs of the neural network. Once the buffer is full, a new training set bumps the oldest training set off the top of the buffer stack. The training sets in the buffer stack can be presented one or more times each time a new training set is constructed.
If an historical database is used, the neural network can be trained retrospectively. Training sets are constructed by searching the historical database over a time span of interest for training input data. When training input data is found, an input data time is selected using the training input data timestamps, and the training set is constructed by retrieving the input data at the input data time. Multiple presentations can also be used in the retrospective training approach.
The on-line training neural network can be used for process measurement, supervisory control, or regulatory control functions. Using data pointers, easy access to many process data systems is achieved. A modular approach with natural language configuration of the neural network can be used to implement the neural network. Expert system functions can be provided in the modular neural network to provide decision-making functions for use in control.
BRIEF DESCRIPTION OF THE DRAWINGS
The present invention as defined by the claims is better understood with the text read in conjunction with the following drawings:
FIG. 1 is a high level block diagram of the six broad steps which make up the computer neural net process control system and method of the present invention.
FIG. 2 is an intermediate block diagram of important steps and modules which make up the store input data and training input data step and module 102 of FIG. 1.
FIG. 3 is an intermediate block diagram of the important steps and modules which make up the configure and train neural network step and module 104 of FIG. 1.
FIG. 4 is an intermediate block diagram of input steps and modules which make up the predict output data using neural network step and module 106 of FIG. 1.
FIG. 5 is an intermediate block diagram of the important steps and modules which make up the "retrain neural network" step and module 108 of FIG. 1.
FIG. 6 is an intermediate block diagram of the important steps and modules which make up the enable/disable control step and module 110 of FIG. 1.
FIG. 7 is an intermediate block diagram of the important steps and modules which make up the control process using output data step and module 112 of FIG. 1.
FIG. 8 is a detailed block diagram of the configure neural network step and module 302 of the relationship of FIG. 3.
FIG. 9 is a detailed block diagram of the new training input data? step and module 306 of FIG. 3.
FIG. 10 is a detailed block diagram of the train neural network step and module 308 of FIG. 3.
FIG. 11 is a detailed block diagram of the error acceptable? step and module 310 of FIG. 3.
FIG. 12 is a representation of the architecture of an embodiment of the present invention.
FIG. 13 is a representation of the architecture of an embodiment of the present invention having the additional capability of using laboratory values from the historical database 1210.
FIG. 14 is an embodiment of controller 1202 of FIGS. 12 and 13 having a supervisory controller 1408 and a regulatory controller 1406.
FIG. 15 shows various embodiments of controller 1202 of FIG. 14 used in the architecture of FIG. 12.
FIG. 16 is a modular version of block 1502 of FIG. 15 showing the various different types of modules that can be utilized with a modular neural network 1206.
FIG. 17 shows an architecture for block 1502 having a plurality of modular neural networks 1702-1702.sup.n with pointers 1710-1710.sup.n pointing to a limited set of neural network procedures 1704-1704.sup.m.
FIG. 18 shows an alternate architecture for block 1502 having a plurality of modular neural networks 1702-1702.sup.n with pointers 1710-1710.sup.m to a limited set of neural network procedures 1704-1704.sup.n, and with parameter pointers
1802-1802" to a limited set of network parameter storage areas 1806-1806.sup.n.
FIG. 19 is a high level block diagram showing the key aspects of a process 1212 having process conditions 1906 used to produce a product 1216 having product properties 1904 from raw materials 1222.
FIG. 20 shows the various steps and parameters which may be used to perform the control of process 1212 to produce products 1216 from raw materials 1222.
FIG. 21 shows a representative example of a fully connected feed forward neural network 1206 having an input layer 2104, a middle (hidden) layer 2108, an output layer 2110, and weights 2112 with each connection.
FIG. 22 is an exploded block diagram showing the various parameters and aspects that can make up the neural network 1206.
FIG. 23 is an exploded block diagram of the input data specification 2204 and the output data specification 2206 of the neural network 1206 of FIG. 22.
FIG. 24 is an exploded block diagram of the prediction timing control 2212 and the training timing control 2214 of the neural network 1206 of FIG. 22.
FIG. 25 is an exploded block diagram of various examples and aspects of controller 1202 of FIG. 12.
FIG. 26 is a representative computer display or "screen" of a preferred embodiment of the present invention showing part of the configuration specification of the neural network block 1206.
FIG. 27 is a representative computer display or "screen" of a preferred embodiment of the present invention showing part of the data specification of the neural network block 1206.
FIG. 28 is a computer screen which shows a pop-up menu for specifying the data system element of the data specification.
FIG. 29 is a computer screen of the preferred embodiment showing in detail the individual items making up the data specification display of FIG. 27.
FIG. 30 is a detailed block diagram of an embodiment of the enable control step and module 602 of FIG. 6.
FIG. 31 is a very detailed block diagram of embodiments of steps and modules 802, 804 and 806 of FIG. 8.
FIG. 32 is a very detailed block diagram of embodiments of steps and modules 808, 810, 812 and 814 of FIG. 8.
FIG. 33 is a nomenclature diagram showing the present invention at a high level.
FIG. 34 shows a representative example of the neural network 1206 of FIG. 21 with training capability.
DETAILED DESCRIPTION OF THE PREFERRED EMBODIMENTS
Table of Contents
I. Overview of Neural Networks
A. Construction of Neural Networks
B. Prediction
C. Neural Network Training
D. Advantages of Neural Networks
II. Brief Overview
III. Use in Combination with Expert Systems
IV. Preferred Method of Operation
A. Store Input Data and Training Input Data Step and Module 102
B. Configure and Train Neural Network Step and Module 104
1. Configure Neural Network Step and Module 302
2. Wait Training Input Data Interval Step and Module 304
3. New Training Input Data? Step and Module 306
4. Train Neural Network Step and Module 308
5. Error Acceptable? Step and Module 310
C. Predict Output Data Using Neural Network Step and Module 106
D. Retrain Neural Network Step or Module
E. Enable/Disable Control Module or Step 110
F. Control Process Using Output Data Step or Module 112
V. Preferred Structure (Architecture)
VI. User Interface
In describing the preferred embodiment of the present invention, reference will be made to FIG. 33. This figure is a nomenclature diagram which shows the various names for elements and actions used in describing the present invention. FIG. 33
is not necessarily intended to represent the method of the present invention, nor does it necessarily depict the architecture of the present invention. However, it does provide a reference point by which consistent terms can be used in describing the present invention.
In referring to FIG. 33, the boxes indicate elements in the architecture and the labeled arrows indicate actions that are carried out. In addition, words that do not appear in boxes which break arrows represent information or data which is being transmitted from one element in the present invention to another.
As discussed below in greater detail, the present invention essentially utilizes neural nets to provide predicted values of important and not readily obtainable process conditions 1906 and/or product properties 1904 to be used by a controller
1202 to produce controller output data 1208 used to control the process 1212. As shown in FIG. 12, a neural network 1206 operates in conjunction with an historical database 1210 which provides input sensor(s) data 1220.
Referring now to FIGS. 1 and 12, input data and training input data are stored in a historical database with associated timestamps as indicated by a step or module 102. In parallel, the neural network 1206 is configured and trained in a step or module 104. The neural network 1206 is used to predict output data 1218 using input data 1220, as indicated by a step or module 106. The neural network 1206 is then retrained in a step or module 108, and control using the output data is enabled or disabled in a step or module 110. In parallel, control of the process using the output data is performed in a step or module 112. Thus, the present invention collects and stores the appropriate data, configures and trains the neural network, uses the neural network to predict output data, and enables control of the process using the predicted output data.
Central to the present invention is the neural network 1206. Various embodiments of the neural network 1206 can be utilized, and are described in detail below.
I. Overview of Neural Networks
In order to fully appreciate the various aspects and benefits produced by the present invention, a good understanding of neural network technology is required. For this reason, the following section discusses neural network technology as applicable to the neural network 1206 of the system and method of the present invention.
Artificial or computer neural networks are computer simulations of a network of interconnected neurons. A biological example of interconnected neurons is the human brain. Neural networks are computer representations of architectures which model the working of the brain. It should be understood that the analogy to the human brain is important and useful in understanding the present invention.
However, neural networks used in neural network 1206 of the present invention are computer simulations (or possibly analog devices) which provide useful predicted values based on input data provided at specified intervals.
Essentially, a neural network 1206 is a hierarchical collection of elements, each of which computes the results of an equation (transfer function or activation function). The equation may include a threshold. Each element equation uses multiple input values, but produces only one output value. The outputs of elements in a lower level (that is, closer to the input data) are provided as inputs to the elements of higher layers. The highest layer produces the output(s).
Referring now to FIG. 21, a representative example of the neural network 1206 is shown. It should be noted that the example shown in FIG. 21 is merely illustrative of an embodiment of neural network 1206. As discussed below, other embodiments for neural network 1206 can be used.
The embodiment of FIG. 21 has an input layer 2104, a middle (hidden) layer 2108, and an output layer 2110. Input layer 2104 includes a layer of input elements 2102 which take their input values from the external input data 1220. This is the known information used to produce the predicted values (output data) at outputs 1218. Even though input layer 2104 is referred to as a layer in the neural network 1206, input layer 2104 does not contain any processing elements; instead, it is a set of storage locations for input values on lines 2120.
The next layer is called the middle or hidden layer 2108. Such a middle layer 2108 is not required, but is usually used. It includes a set of elements 2106. The outputs from inputs 2102 of input layer 2104 are used as inputs by each element
2106. Thus, it can be appreciated that the outputs of the previous layer are used to feed the inputs of the next layer.
Additional middle layers 2108 can be used. Again, they would take the outputs from the previous layer as their inputs. Any number of middle layers 2108 can be utilized.
Output layer 2110 has a set of elements 2106. As their input values, they take the output of elements 2106 of the middle layer 2108. The outputs 1218 of elements 2106 of output layer 2110 are the predicted values (called output data) produced by the neural net 1206 using the input data 1220.
For each input value for each element of each of the layers 2108 and 2110, an adjustable constant called a weight 2112 is defined. For purposes of illustration only, only two weights 2112 are shown. However, each connection between the layers
2104, 2108 and 2110 has an associated weight. Weights determine how much relative effect an input value has on the output value of the element in question.
When each middle element connects to all of the outputs from the previous layer, and each output element connects to all of the outputs from the previous layer, the network is called fully connected. Note that if all elements use output values from elements of a previous layer, the network is a feedforward network. The network of FIG. 21 is such a fully connected, feedforward network. Note that if any element uses output values from an element in a later layer, the network is said to have feedback. Most neural networks used for neural network 1206 use the same equation in every element in the network.
A. Construction of Neural Networks
Neural network 1206 is built by specifying the number, arrangement and connection of the elements of which it is made up. In a highly structured embodiment of neural network 1206, the configuration is fairly simple. For example, in a fully connected network with one middle layer (and of course including one input and one output layer), and no feedback, the number of connections and consequently the number of weights is fixed by the number of elements in each layer. Such is the case in the example shown in FIG. 21. Since the same equation is usually used in all elements, for this type of network we need to know the number of elements in each layer. This determines the number of weights and hence total storage needed to build the network. The modular aspect of the present invention of FIG. 16 takes advantage of this way of simplifying the specification of a neural network. Note that more complex networks require more configuration information, and therefore more storage.
The present invention contemplates other types of neural network configurations for use with neural network 1206. All that is required for neural network 1206 is that the neural network be able to be trained and retrained so as to provide the needed predicted values utilized in the process control.
B. Prediction
Referring now to FIG. 21, a representative embodiment of a feed forward neural network will now be described. This is only illustrative of one way in which a neural network can function.
Input data 1220 is provided to input storage locations called inputs 2102. Middle layer elements 2106 each retrieve the input values from all of the inputs 2102 in the input layer 2104. Each element has a weight 2112 associated with each input value. Each element 2106 multiplies each input value 2102 times its associated weight 2112, and sums these values for all of the inputs. This sum is then used as input to an equation (also called a transfer function or activation function) to produce an output or activation for that element. The processing for elements 2106 in the middle or hidden layer 2108 can be performed in parallel, or they can be performed sequentially.
In the neural network with only one middle layer as shown in FIG. 21, the output values or activations would then be computed. For each output element 2106, the output values or activations from each of the middle elements 2106 is retrieved. Each output or activation is multiplied by its associated weight 2112, and these values are summed. This sum is then used as input to an equation which produces as its result the output data 1218. Thus using inputdata 1220, a neural network 1206
produces predicted values of output data 1218.
Equivalent fun#tion can be achieved using analog means.
C. Neural Network Training
The weights 2112 used in neural network 1206 are adjustable constants which determine (for any given neural network configuration) the values of the predicted output data for given input data. Neural networks are superior to conventional statistical models because neural networks can adjust these weights automatically. Thus, neural networks are capable of building the structure of the relationship (or model) between the input data 1220 and the output data 1218 by adjusting the weights
2112. While a conventional statistical model requires the developer to define the equation(s) in which adjustable constant(s) will be used, the neural network 1206 builds the equivalent of the equation(s) automatically.
Referring now to FIG. 34, the present invention contemplates various approaches for training neural network 1206. One suitable approach is back propagation. Back propagation uses the error between the predicted output data 1218 and the associated training input data 1306 as provided by the training set (not shown) to determine how much to adjust the weights 2112 in the network 1206. In effect, the error between the predicted output data values and the associated training input data values is propagated back through the output layer 2110 and through the middle layer 2108. This accounts for the name back propagation.
The correct output data values are called training input data values.
The neural network 1204 is trained by presenting it with a training set(s), which is the actual history of known input data values and the associated correct output data values. As described below, the present invention uses the historical database with its associated timestamps to automatically create a training set(s).
To train the network, the newly configured neural network is usually initialized by assigning random values to all of its weights 2112. Referring now to FIG. 34, a representative embodiment of a neural network 1206 as configured for training purposes is shown. During training, the neural network 1206 uses its input data 1220 to produce predicted output data 1218 as described above under Section I.B., Prediction.
These predicted output data values 1218 are used in combination with training input data 1306 to produce error data 3404. These error data values 3404 are then propagated back through the network through the output elements 2106 and used in accordance with the equations or functions present in those elements to adjust the weights 2112 between the output layer 2110 and the middle or hidden layer 2108.
According to the back propagation method, which is illustrative of training methods that can be used for the neural network 1206, an error value for each element 2106 in the middle or hidden layer 2108 is computed by summing the errors of the output elements 2106 each multiplied by its associated weight 2112 on the connection between the middle element 2106 in the middle layer 2108 and the corresponding output elements in the output layer 2110. This estimate of the error for each middle (hidden) layer element is then used in the same manner to adjust the weights 2112 between the input layer 2104 and the middle (hidden) layer 2108.
It can thus be seen that the error between the output data 1218 and the training input data 1306 is propagated back through the network 1206 to adjust the weights 2112 so that the error is reduced. More detail can be found in Parallel Distributed Processing, Explorations in the Microstructure of Cognition, by David E. Rumelhart and James L. McClelland, The MIT Press, CaUbridge, Mass., USA, 1986, and Explorations In Parallel Distributed Processing, A Handbook of Models, Programs, and Exercises, by James L. McClelland and David E. Rumelhart, The MIT Press, Cambridge, Mass., 1988, which are incorporated herein by reference.
D. Advantages of Neural Networks
Neural networks are superior to computer statistical models because neural networks do not require the developer of the neural network model to create the equations which relate the known input data and training values to the desired predicted values (output data). In other words, neural network 1206 learns the relationships automatically in the training step 104.
However, it should be noted that neural network 1206 requires the collection of training input data with its associated input data, also called training set. The training set must be collected and properly formatted. The conventional approach for doing this is to create a disk file on a computer on which the neural network runs.
In the present invention, in contrast, this is done automatically using an historical database 1210 (FIG. 12). This eliminates the errors and the time associated with the conventional approach. This also significantly improves the effectiveness of the training function since it can be performed much more frequently.
II. Brief Overview
Referring to FIGS. 1 and 12, the present invention is a computer neural network system and method which produces predicted output data values 1218 using a trained network supplied with input data 1220 at a specified interval. The predicted data
1218 is supplied via an historical database 1210 to a controller 1202, which controls a process 1212 which produces a product 1216. In this way, the process conditions 1906 and product properties 1904 (FIGS. 19 and 20) are maintained at a desired quality level, even though important ones of them can not be effectively measured directly, or modeled using conventional, fundamental or conventional statistical approaches.
The present invention can be configured by a developer using a neural network configuration and module 104 step. Various parameters of the neural network can be specified by the developer by using natural language without knowledge of specialized computer syntax and training. In this way, the present invention allows an expert in the process being measured to configure the present invention without the use of a neural network expert.
Referring also to FIG. 34, the neural network is automatically trained on-line using input data 1220 and associated training input data 1306 having timestamps (for example, from clock 1230). The input data and associated training input data are stored in an historical database 1210, which supplies this data 1220, 1306 to the neural network 1206 for training at specified intervals.
The (predicted) output data value 1218 produced by the neural network is stored in the historical database. The stored output data value 1218 is supplied to the controller 1202 for controlling the process as long as the error data 1504 between the output data 1218 and the training input data 1306 is below an acceptable metric.
The error data 1504 is also used for automatically retraining the neural network. This retraining typically occurs while the neural network is providing the controller via the historical database with the output data. The retraining of the neural network results in the output data approaching the training input data as much as possible over the operation of the process. In this way, the present invention can effectively adapt to changes in the process, which can occur in a commercial application.
A modular approach for the neural network, as shown in FIG. 16, is utilized to simplify configuration and to produce greater robustness. In essence, the modularity is broken out into specifying data and calling subroutines using pointers.
In configuring the neural network, as shown in FIG. 22, data pointers 2204, 2206 are specified. A template approach, as shown in FIGS. 26 and 27, is used to assist the developer in configuring the neural network without having to perform any actual programming.
The present invention is an on-line process control system and method. The term "on-line" indicates that the data used in the present invention is collected directly from the data acquisition systems which generate this data. An on-line system may have several characteristics. One characteristic is the processing of data as the data is generated. This may also be called real-time operation. Real-time operation in general demands that data be detected, processed and acted upon fast enough to effectively respond to the situation. In a process control context, real time means that the data can be responded to fast enough to keep the process in the desired control state.
In contrast, off-line methods can also be used. In off-line methods, the data being used was generated at some point in the past and there is no attempt to respond in a way that can effect the situation. It should be understood that while the preferred embodiment of the present invention uses an on-line approach, alternate embodiments can substitute off-line approaches in various steps or modules.
III. Use in Combination with Expert Systems
The above description of neural networks and neural networks as used in the present invention, combined with the description of the problem of making measurements in a process control environment given in the background section, illustrate that neural networks add a unique and powerful capability to process control systems. They allow the inexpensive creation of predictions of measurements that are difficult or impossible to obtain. This capability opens up a new realm of possibilities for improving quality control in manufacturing processes. As used in the present invention, neural networks serve as a source of input data to be used by controllers of various types in controlling the process.
Expert systems provide a completely separate and completely complimentary capability for process control systems. Expert systems are essentially decision-making programs which base their decisions on process knowledge which is typically represented in the form of if-then rules. Each rule in an expert system makes a small statement of truth, relating something that is known or could be known about the process to something that can be inferred from that knowledge. By combining the applicable rules, an expert system can reach conclusions or make decisions which mimic the decision-making of human experts.
The systems and methods described in several of the U.S. patents and patent applications incorporated by reference above use expert systems in a control system architecture and method to add this decision-making capability to process control systems. As described in these patents and patent applications, expert systems provide a very advantageous function in the implementation of process control systems.
The present invention adds a different capability of substituting neural networks for measurements which are difficult to obtain. The advantages of the present invention are both consistent with and complimentary to the capabilities provided in the above-noted patents and patent applications using expert systems. In fact, the combination of neural network capability with expert system capability in a control system provides even greater benefits that either capability provided alone. For example, a process control problem may have a difficult measurement and also require the use of decision-making techniques in structuring or implementing the control response. By combining neural network and expert system capabilities in a single control application, greater results can be achieved than using either technique alone.
It should thus be understood that while the present invention relates primarily to the use of neural networks for process control, it can very advantageously be combined with the expert system inventions described in the above-noted patents and patent applications to give even greater process control problem solving capability. As described below, when implemented in the modular process control system architecture, neural network functions are easily combined with expert system functions and other control functions to build such integrated process control applications. Thus, while the present invention can be used alone, it provides even greater value when used in combination with the expert system inventions in the above-noted patents and patent applications.
IV. Preferred Method of Operation
The preferred method of operation of the present invention stores input data and training data, configures and trains a neural network, predicts output data using the neural network, retrains the neural network, enables or disables control using the output data, and controls the process using output data. As shown in FIG. 1, more than one step or module is carried out in parallel in the method of the present invention. As indicated by the divergent order pointer 120, the first two steps or modules in the present invention are carried out in parallel. First in a step or module 102, input data and training input data are stored in the historical database with associated timestamps. In parallel, the neural network is configured and trained in a step 104. Next, two series of steps or modules are carried out in parallel as indicated by the order pointer 122. First, in a step or module 106, the neural network is used to predict output data using input data stored in the historical database. Next, in a step or module 108, the neural network is retrained using training input data stored in the historical database. Next, in a step or module 110, control using the output data is enabled or disabled in parallel in a step or module 112, control of the process using the output data is carried out when enabled by step or module 110.
A. Store Input Data and Training Input Data Step and Module 302
As shown in FIG. 1, an order pointer 120 indicates that a step 102 and a step 104 are performed in parallel. Referring now to step 102, it is denominated as the store input data and training input data step and module. FIG. 2 shows step and module 102 in more detail.
Referring now to FIGS. 1 and 2, step and module 102 has the function of storing input data 1220 and storing training input data 1306. Both types of data are stored in an historical database 1210 (see FIG. 12 and related structure diagrams), for example. Each stored input data and training input data entry in historical database 1210 utilizes an associated timestamp. The associated timestamp allows the system and method of the present invention to determine the relative time that the particular measurement or predicted value or measured value was taken, produced or derived.
A representative example of step and module 102 is shown in FIG. 2, which is described as follows. The order pointer 120, as shown in FIG. 2, indicates that input data 1220 and training input data 1306 are stored in parallel in the historical database 1210. Specifically, input data from sensors 1226 (see FIGS. 12 and 13) are produced by sampling at specific time intervals the sensor signal 1224 provided at the output of the sensor 1226, This sampling produces an input data value or number or signal. Each of these is called an input data 1220 as used in this application. The input data is stored with an associated timestamp in the historical database 1210, as indicated by a step and module 202. The associated timestamp that is stored in the historical database with the input data indicates the time at which the input data was produced, derived, calculated, etc.
A step or module 204 shows that the next input data value is stored by step 202 after a specified input data storage interval has lapsed or timed out. This input data storage interval realized by step and module 204 can be set at any specific value. Typically, it is selected based on the characteristics of the process being controlled.
As shown in FIG. 2, in addition to the sampling and storing of input data at specified input data storage intervals, training input data 1306 is also being stored. Specifically, as shown by step and module 206, training input data is stored with associated timestamps in the historical database 1210. Again, the associated timestamps utilized with the stored training input data indicate the relative time at which the training input data was derived, produced or obtained. It should be understood that this usually is the time when the process condition or product property actually existed in the process or product. In other words, since it typically takes a relatively long period of time to produce the training input data (because lab analysis and the like usually has to be performed), it is more accurate to use a timestamp which indicates the actual time when the measured state existed in the process rather than to indicate when the actual training input data was entered into the historical database. This produces a much closer correlation between the training input data 1306 and the associated input data 1220. This close correlation is needed, as is discussed in detail below, in order to more effectively train and control the system and method of the present invention.
The training input data is stored in the historical database 1210 in accordance with a specified training input data storage interval, as indicated by a step and module 208. While this can be a fixed time period, it typically is not. More typically, it is a time interval which is dictated by when the training input data is actually produced by the laboratory or other mechanism utilized to produce the training input data 1306. As is discussed in detail herein, this often times takes a variable amount of time to accomplish depending upon the process, the mechanisms being used to produce the training data, and other variables associated both with the process and with the measurement/analysis process utilized to produce the training input data.
What is important to understand here is that the specified input data storage interval is usually considerably shorter than the specified training input data storage interval of step and module 204.
As can be seen, step and module 102 thus results in the historical database 1210 receiving values of input data and training input data with associated timestamps. These values are stored for use by the system and method of the present invention in accordance with the steps and modules discussed in detail below.
B. Configure and Train Neural Network Step and Module 104
As shown in FIG. 1, the order pointer 120 shows that a configure and train neural network step and module 104 is performed in parallel with the store input data and training input data step and module 102. The purpose of step and module 104 is to configure and train the neural network 1206 (see FIG. 12).
Specifically, the order pointer 120 indicates that the step and module 104 plus all of its subsequent steps and modules are performed in parallel to the step and module 102.
FIG. 3 shows a representative example of the step and module 104. As shown in FIG. 3, this representative embodiment is made up of five steps and modules 302, 304, 306, 308 and 310.
Referring now to FIG. 3, an order pointer 120 shows that the first step and module of this representative embodiment is a configure neural network step and module 302. Configure neural network step and module 302 is used to set up the structure and parameters of the neural network 1206 that is utilized by the system and method of the present invention. As discussed below in detail, the actual steps and modules utilized to set up the structure and perimeters of neural network 1206 are shown in FIG. 8.
After the neural network 1206 has been configured in step and module 302, an order pointer 312 indicates that a wait training data interval step and module 304 occurs or is utilized. The wait training data interval step and module 304 specifies how frequently the historical database 1210 will be looked at to determine if there is any new training data to be utilized for training of the neural network 1206. It should be noted that the training data interval of step and module 304 is not the same as the specified training input data storage interval of step and module 206 of FIG. 2. Any desired value for the training data interval can be utilized for step and module 304.
An order pointer 314 indicates that the next step and module is a new training input data? step and module 306. This step and module 306 is utilized after the lapse of the training data interval specified by step and module 304. The purpose of step and module 306 is to examine the historical database 1210 to determine if new training data has been stored in the historical database since the last time the historical database 1210 was examined for new training data. The presence of new training data will permit the system and method of the present invention to train the neural network 1206 if other parameters/conditions are met. FIG. 9 discussed below shows a specific embodiment for the step and module 306.
An order pointer 318 indicates that if step and module 306 indicates that new training data is not present in the historical database 1210, the step and module 306 returns the operation of step and module 104 to the step and module 304.
In contrast, if new training data is present in the historical database 1210, the step and module 306 as indicated by an order pointer 316 causes the step and module 104 to move to a train neural network step and module 308. Train neural network step and module 308 is the actual training of the neural network 1206 using the new training data retrieved from the historical database 1210. FIG. 10, discussed below in detail, shows a representative embodiment of the train neural network step and module 308.
After the neural network has been trained, in step and module 308, the step and module 104 as indicated by an order pointer 320 moves to an error acceptable? step and module 310. Error acceptable? step and module 310 determines whether the error data 1504 produced by the neural network 1206 is within an acceptable metric, indicating error that the neural network 1206 is providing output data 1218 that is close enough to the training input data 1306 to permit the use of the output data 1218 from the neural network 1206. In other words, an acceptable error indicates that the neural network 1206 has been "trained" as training is specified by the user of the system and method of the present invention. A representative example of the error acceptable? step and module 310 is shown in FIG. 11, which is discussed in detail below.
If an unacceptable error is determined by error acceptable? step and module 310, an order pointer 322 indicates that the step and module 104 returns to the wait training data interval step and module 304. In other words, this means that the step and module 104 has not completed training the neural network 1206. Because the neural network 1206 has not yet been trained, training must continue before the system and method of the present invention can move to a step and module 106 discussed below.
In contrast, if the error acceptable? step and module 310 determines that an acceptable error from the neural network 1206 has been obtained, then the step and module 104 has trained neural network 1206. Since the neural network 1206 has now been trained, step 104 allows the system and method of the present invention to move to the steps and methods 106 and 112 discussed below.
The specific embodiments for step and module 104 are now discussed.
1. Configure Neural Network Step and Module 302
Referring now to FIG. 8, a representative embodiment of the configure neural network step and module 302 is shown. This step and module allow the uses of the present invention to both configure and re-configure the neural network. Referring now to FIG. 8, the order pointer 120 indicates that the first step and module is a specify training and prediction timing control step and module 802. Step and module 802 allow the person configuring the system and method of the present invention to specify the training interval(s) and the prediction timing interval(s) of the neural network 1206.
FIG. 31 shows a representative embodiment of the step and module 802. Referring now to FIG. 31, step and module 802 can be made up of four steps and modules 3102, 3104, 3106, and 3108. Step and module 3102 is a specify training timing method step and module. The specify training timing method step and module 3102 allows the user configuring the present invention to specify the method or procedure that will be followed to determine when the neural network 1206 will be trained. A representative example of this is when all of the training data has been updated. Another example is the lapse of a fixed time interval. Other methods and procedures can be utilized.
An order pointer indicates that a specify training timing parameters step and module 3104 is then carried out by the user of the present invention. This step and module 3104 allows for any needed training timing parameters to be specified. It should be realized that the method or procedure of step and module 3102 can result in zero or more training timing parameters, each of which has a value. This value could be a time value, a module number (in the modular embodiment of the present invention of FIG. 16), or a data pointer. In other words, the user can configure the present invention so that considerable flexibility can be obtained in how training of the neural network 1206 occurs based on the method or procedure of step and module
3102.
An order pointer indicates that once the training timing parameter(s) 3104 has been specified, a specify prediction timing method step and module 3106 is configured by the user of the present invention. This step and module 3106 specifies the method or procedure that will be used by the neural network 1206 to determine when to predict output data values 1218 after it has been trained. This is in contrast to the actual training of the neural network 1206. Representative examples of methods or procedures for step and module 3106 are execute at a fixed time interval, execute after the execution of a specific module, or execute after a specific data value is updated. Other methods and procedures can be used.
An order indicator in FIG. 31 shows that a specify prediction timing parameters step and module 3108 is then carried out by the user of the present invention. Any needed prediction timing parameters for the method or procedure of step or module
3106 can be specified. For example, the time interval can be specified as a parameter for the execute at a specific time interval method or procedure. Another example is the specification of a module identifier when the execute after the execution of a particular module method or procedure is specified. Another example is a data pointer when the updating of a data value method or procedure is used. Other operation timing parameters can be used.
Referring again to FIG. 8, after the specify training and prediction timing control step and module 802 has been specified, a specify neural network size step and module 804 is carried out. This step and module 804 allows the user to specify the size and structure of the neural network 1206 that is used by the present invention.
Specifically, referring to FIG. 31 again, a representative example of how the neural network size can be specified by step and module 804 is shown. An order pointer indicates that a specific number of inputs step and module 3110 allows the user to indicate the number of inputs that the neural network 1206 will have. Note that the source of the input data for the specified number of inputs has not yet been fixed by the user in the step and module 3110. Only the actual number of inputs have been specified in the step and module 3110.
Once the number of inputs have been specified in step and module 3110, the user can specify the number of middle (hidden) layer elements in the neural network 1206 by using a step or method 3112. By middle elements it is meant that one or more internal layers 2108 of the neural network can be specified by the user. The present invention contemplates a neural network having zero or more middle layers 2108. Typically, one middle layer is used; however, two or more middle layers are contemplated.
An order pointer indicates that once the number of middle elements have been specified in step and module 3112, the number of output data from 2106 the outputs of the neural network 1206 can be specified as indicated by a step or module 3114. Note that where the outputs of the neural network 1206 are to be stored is not specified in step or module 3114. Instead, only the number of outputs are specified in this step of the present invention.
As discussed herein, the present invention contemplates any form of presently known or future developed configuration for the structure of the neural network 1206. Thus, steps or modules 3110, 3112, and 3114 can be modified so as to allow the user to specify these different configurations for the neural network 1206.
Referring again to FIG. 8, once the neural network size has been specified in step and module 804, the user can specify the training and prediction modes in a step and module 806. Step and module 806 allows both the training and prediction modes to be specified. It also allows for controlling the storage of the data produced in the training and prediction modes. It also allows for data coordination to be used in training mode.
A representative example of the specific training and prediction modes step and module 806 is shown in FIG. 31. It is made up of step and modules 3116, 3118, and 3120.
As shown, an order pointer indicates that the user can specify prediction and train modes in a step and module 3116. These are yes/no or on/off settings. Since the system and method of the present invention is in the train mode at this stage in its operation, step and 3116 typically goes to its default setting of train mode only. However, it should be understood that the present invention contemplates allowing the user to independently control the prediction or train modes.
When prediction mode is enabled or "on," the neural network 1206 will predict output data values 1218 using retrieved input data values 1220, as described below. When training mode is enabled or "on," the neural network 1206 will monitor the historical database 1210 for new training data and will train using the training data, as described below.
An order pointer indicates that once the prediction and train modes have been specified in the step and module 3116, the user can specify prediction and train storage modes in a step and module 3118. These are on/off, yes/no values. They allow the user to specify whether the output data produced in the prediction and/or modes will be stored for possible later use. In some situations, the user will specify that they will not be stored, and in such a situation they will be discarded after the prediction or train mode has occurred. Examples of situations where storage may not be needed are as follows. First, if the error acceptable metric value in the train mode indicates that the output data is poor and retraining is necessary, there may be no reason to keep the output data. Another example is in the prediction mode, where the output data is not stored but is only used. Other situations may arise where no storage is warranted.
An order pointer indicates that a specify training data coordination mode step and module 3120 is then specified by the user. Oftentimes, training input data 1306 must be correlated in some manner with input data 1220. This step and module 3120
allows the user to deal with the relatively long time period required to produce training input data 1306 from when the measured state(s) existed in the process. First, the user can specify whether the most recent input data will be used with the training data, or whether prior input data will be used with the training data. If the user specifies that prior input data is to be used, the method of determining the time of the prior input data can be specified in this step and module 3120.
Referring again to FIG. 8, once the specified training and prediction modes step and module 806 has been completed by the user, steps and modules 808, 810, 812 and 814 are carried out. Specifically, the user follows a specify input data step and module 808, a specify output data step and module 810, a specify training input data step and module 812, and a specify error data step and module 814. Essentially, these four steps and modules 808-814 allow the user to specify the source and destination of input and output data for both the (run) prediction and training modes, and the storage location of the error data determined in the training mode.
FIG. 32 shows a representative embodiment used for all of the steps and modules 808-814 as follows.
Steps and modules 3202, 3204 and 3206 essentially are directed to specifying the data location for the data being specified by the user. In contrast, steps and modules 3208-3216 may be optional in that they allow the user to specify certain options or sanity checks that can be performed on the data as discussed below in more detail.
Turning first to specifying the storage location of the data being specified, a step or module 3202 is called specify data system. Typically, in a chemical plant, there is more than one computer system utilized with a process being controlled. Step or module 3202 allows for the user to specify which computer system(s) contains the data or storage location that is being specified.
Once the data system has been specified, the user can specify the data type using a specify data type step and module 3204. The data type indicates which of the many types of data and/or storage modes are desired. Examples are current (most recent) values of measurements, historical values, time averaged values, setpoint values, limits, etc. After the data type has been specified, the user can specify a data item number or identifier using a step or module 3206. The data item number or identifier indicates which of the many instances of the specify data type in the specified data system is desired. Examples are the measurement number, the control loop number, the control tag name, etc. These three steps and modules 3202-3206 thus allow the user to specify the source or destination of the data (used/produced by the neural network) being specified.
Once this has been specified, the user can specify the following additional parameters. Specifically, where data is being specified which is time varying, the user can specify the oldest time interval boundary using a step and module 3208, and can specify the newest time interval boundary using a step and module 3210. For example, these boundaries can be utilized where a time weighted average of a specified data value is needed. Alternatively, the user can specify one particular time when the data value being specified is an historical data point value.
Sanity checks on the data being specified can be specified by the user using steps and modules 3212, 3214 and 3216 as follows. Specifically, the user can specify a high limit value using a step and module 3212, and can specify a low limit value using a step and module 3214. Since sensors, for example, sometimes fail, this sanity check allows the user to prevent the system and method of the present invention from using false data from a failed sensor. Other examples of faulty data can also be detected by setting these limits.
The high and low limit values can be used for scaling the input data. Neural networks are typically trained and operated using input, output and training input data scaled within a fixed range. Using the high and low limit values allows this scaling to be accomplished so that the scaled values use most of the range. Typical ranges are 0 to 1 and -1 to 1.
In addition, the user often knows that certain values will normally change a certain amount over a specific time interval. Thus, changes which exceed these limits can be used as an additional sanity check. This can be accomplished by the user specifying a maximum change amount in step and module 3216.
Sanity checks can be used in the method of the present invention to prevent erroneous training, prediction, and control. Whenever any data value fails to pass the sanity checks, the data may be clamped at the limit(s), or the operation/control may be disabled. These tests significantly increase the robustness of the present invention.
It should be noted that these steps and modules in FIG. 32 apply to the input, output, training input, and error data steps and modules 808, 810, 812 and 814.
When the neural network is fully configured, the weights are normally set to random values in their allowed ranges (-1 to 1 is commonly used as a weight range). This can be done automatically, or it can be performed on demand by the user (for example, using softkey 2616 in FIG. 26).
2. Wait Training Input Data Interval Step and Module 304
Referring again to FIG. 3, the wait training data interval step and module 304 is now described in greater detail.
Typically, the wait training input data interval is much shorter than the time period (interval) when training input data becomes available. This wait training input data interval determines how often the training input data will be checked to determine whether new training input data has been received. Obviously, the more frequently the training input data is checked, the shorter the time interval will be from when new training input data becomes available to when retraining has occurred.
It should be noted that the configuration for the neural network 1206 and specifying its wait training input data interval is done by the user. This interval may be inherent in the software system and method which contains the neural network of the present invention. Preferably, it is specifically defined by the entire software system and method of the present invention. Now the neural network 1206 is being trained.
3. New Training Input Data? Step and Module 306
An order pointer 314 indicates that once the wait training input data interval 304 has elapsed, the new training input data? step or module 306 occurs.
FIG. 9 shows a representative embodiment of the new training input data? step and module 306. Referring now to FIG. 9, a representative example of determining whether new training input data has been received is shown. A retrieve current training input timestamp from historical database step and module 902 first retrieves from the historical database 1210 the current training input data timestamp(s). As indicated by an order pointer, a compare current training input data timestamp to stored training input data timestamp step and module 904 compares the current training input data timestamp(s) with a saved training input data timestamp(s). Note that when the system and method of the present invention is first started, an initialization value must be used for the saved training input data timestamp. If the current training input data timestamp is the same as the saved training input data timestamp, this indicates that new training input data does not exist. This situation on no new training input data is indicated by an order pointer 318.
This step and module 904 functions to determine whether any new training input data is available for use in training the neural network. It should be understood that, in various embodiments of the present invention, the presence of new training input data may be detected (determined) in alternate ways. One specific example is where only one storage location is available for training input data and the associated timestamp. In this case, detecting (determining) the presence of new training input data can be carried out by saving internally in the neural network the associated timestamp of the training input data from the last time the training input data was checked, and periodically retrieving the timestamp from the storage location for the training input data and comparing it to the internally saved value of the timestamp. Other distributions and combinations of storage locations for timestamps and/or data values can be used in detecting (determining) the presence of new training input data.
However, if the comparison of step and module 904 indicates that the current training input data timestamp is different from the saved training input data timestamp, this indicates that new training input data has been received (detected). This new training input data timestamp is saved by a save current training input data timestamp step and module 906. After this current timestamp of training input data has been saved, the new training data? step and module 306 has been completed, and the present invention moves to the train neural network step and module 308 of FIG. 3 as indicated by the order pointer.
4. Train Neural Network Step and Module 308
Referring again to FIG. 3, the train neural network step and module 308 is the step and module where the neural network 1206 is trained. FIG. 10 shows a representative embodiment of the train neural network step and module 308.
Referring now to step and module 308 shown in FIG. 10, an order pointer 316 indicates that a retrieve current training input data from historical database step and module 1002 occurs. In step and module 1002, one or more current training input data values are retrieved from the historical database 1210. The number of current training input data values that is retrieved is equal to the number of outputs 2106 of the neural network 1206 that is being trained. The training input data is normally scaled. This scaling can use the high and low limit values specified in the configure and train neural network step 104.
An order pointer shows that a choose training input data time step and module 1004 is next carried out. Typically, when there are two or more current training input data values that are retrieved, the data time (as indicated by their associated timestamps) for them is different. The reason for this is that typically the sampling schedule used to produce the training input data is different for the various training input data. Thus, current training input data often has different associated timestamps. In order to resolve these differences, certain assumptions have to be made. In certain situations, the average between the timestamps is used. Alternately, the timestamp of one of the current training input data could be used. Other approaches also can be employed.
Once the training input data time has been chosen in step and module 1004, the input data at the training input data time is retrieved from the historical database 1210 as indicated by a step and module 1006. The input data is normally scaled. This scaling can use the high and low limit values specified in the configure and train neural network step 104. Thereafter, the neural net 1206 predicts output data from the retrieved input data, as indicated by a step and module 406.
The predicted output data from the neural network 1206 is then stored in the historical database 1210, as indicated by a step and module 408. The output data is normally produced in a scaled form, since all the input and training input data is scaled. In this case, the output data must be de-scaled. This de-scaling can use the high and low limit values specified in the configure and train neural network step 104. Thereafter, error data is computed using the output data from the neural network 1206 and the training input data, as indicated by a step and module 1012. It should be noted that the term error data 1504 as used in step and module 1012 is a set of error data value for all of the predicted outputs 2106 from the neural network
1206. However, the present invention also contemplates using a global or cumulative error data for evaluating whether the predicted output data values are acceptable.
After the error data 1504 has been computed (calculated) in the step and module 1012, the neural network 1206 is retrained using the error data 1504 and/or the training input data 1306. The present invention contemplates any method of training the neural network 1306.
After the training step and module 1014 has been completed, the error data 1504 is stored in the historical database 1210 in a step and module 1016. It should be noted that the error data 1504 shown here is the individual data for each output
2106. These stored error data 1504 provide a historical record of the error performance for each output 2106 of the neural network 1206.
The sequence of steps described above is the preferred embodiment used when the neural network 1206 can be effectively trained using a single presentation of the training set created for each new training input data 1306.
However, in using certain training methods or for certain applications, the neural network 1206 may require many presentations of training sets to be adequately (acceptable metric) trained. In this case, two alternate approaches can be used to train the neural network 1206.
In the first approach, the neural network 1206 can save the training sets (that is, the training input data and the associated input data which is retrieved in step and module 308) in a database of training sets, which can then be repeatedly presented to the neural network 1206 to train the neural network. The user might be able to configure the number of training sets to be saved. As new training data becomes available, new training sets are constructed and saved. When the specified number of training sets has been accumulated (in a "stack"), the next training set created based on new lab data would "bump" the oldest training set out of the stack. This oldest training set would be discarded. Conventional neural network training creates training sets all at once, off-line, and would keep using all the training sets created.
A second (or "stack") approach which can be used is to maintain a time history of input data and training input data in the historical database 1210, and to search the historical database 1210, locating training input data and constructing the corresponding training set by retrieving the associated input data.
It should be understood that the combination of the neural network 1206 and the historical database 1210 containing both the input data and the training input data with their associated timestamps provides a very powerful platform for building, training and using the neural network 1206. The present invention contemplates various other modes of using the data in the historical database 1210 and the neural network 1206 to prepare training sets for training the neural network 1206.
5. Error Acceptable? Step and Module 310
Referring again to FIG. 3, once the neural network 1206 has been trained in step and module 308, a step and module 310 of determining whether an acceptable error? occurs. FIG. 11 shows a representative embodiment of the error acceptable? step and module 310.
Referring now to FIG. 11, an order pointer 320 indicates that an compute global error using saved global error step and module 1102 occurs. The term global error as used herein means the error over all the outputs 2106 and/or over two or more training sets (cycles) of the neural network 1206. The global error reduces the effects of variation in the error from one training set (cycle) to the next. One cause for the variation is the inherent variation in lab data tests used to generate the training input data.
Once the global error has been computed (estimated) in the step and module 1102, it is saved in a step and module 1104. The global error may be saved internally in the neural network 1206, or it may be stored in the historical database 1210. Storing the global error in the historical database 1210 provides an historical record of the overall performance of the neural network 1206.
Thereafter, if an appropriate history of global error is available (as would be the case in retraining), a step and module 1106 can be used to determine if the global error is statistically different from zero. This step and module 1106
determines whether a sequence of global error values falls within the expected range of variation around the expected (desired) value of zero, or whether the global error is statistically significantly different from zero. This step and module 1106 can be important when the training input data used to compute the global error has significant random variability. If the neural network 1206 is making accurate predictions, the random variability in the training input data (for example, caused by lab variation) will cause random variation of the global error around zero. This step and module 1106 reduces the tendency to incorrectly classify as not acceptable the predicted outputs of the neural network 1206.
If the global error is not statistically different from zero, then the global error is acceptable, and the present invention moves to an order pointer 122. An acceptable error indicated by order pointer 122 means that the neural network 1206 is trained. This completes step and module 104.
However, if the global error is statistically different from zero, the present invention in the retrain mode moves to a step and module 1108, which is called training input data statistically valid?. (Note that step and module 1108 is not needed in the training mode of step and module 104. In the training mode, a global error statistically different from zero moves directly to an order pointer 322.)
If the training input data in the retraining mode is not statistically valid, this indicates that the acceptability of the global error cannot be determined, and the present invention moves to the order pointer 122. However, if the training input data is statistically valid, this indicates that the error is not acceptable, and the present invention moves back to the wait training input data interval step and module 304, as indicated in FIG. 3.
The steps and modules described here for determining whether the global error is acceptable constitute one example of implementing a global error acceptable metric. It should be understood that different process characteristics, and different sampling frequencies, and different measurement techniques (for process conditions and product properties) may indicate alternate methods of determining whether the error is acceptable. The present invention contemplates any method of creating an error acceptable metric.
Thus, it has been seen that the present invention in step and module 104 configures and trains the neural network 1206 for use in the present invention.
C. Predict Output Data Using Neural Network Step and Module 106
Referring again to FIG. 1, the order pointer 122 indicates that there are two parallel paths that the present invention uses after the configure and train neural network step and module 104. One of the paths, which the predict output data using neural network step and module 106 described below is part of, is used for predicting output data using the neural network 1206, for retraining the neural network 1206 using these predicted output data, and for disabling control of the controlled process when the (global) error from the neural network 1206 exceeds a specified error acceptable metric (criterion). The other path is the actual control of the process using the predicted output data from the neural network 1206.
Turning now to the predict output data using neural network step and module 106, this step and module 106 uses the neural network 1206 to produce output data for use in control of the process and for retraining the neural network 1206. FIG. 4
shows a representative embodiment of the step and module 106.
Turning now to FIG. 4, a wait specified prediction interval step or module 402 utilizes the method or procedure specifed by the user in steps or modules 3106 and 3108 for determining when to retrieve input data. Once the specified prediction interval has elapsed, the present invention moves to a retrieve input data at current time from historical database step or module 404. The input data is retrieved at the current time. That is, the most recent value available for each input data value is retrieved from the historical database 1210.
The neural network 1206 then predicts output data from the retrieved input data, as indicated by a step and module 406. This output data is used for process control, retraining and control purposes as discussed below in subsequent sections. Prediction is done using any presently known or future developed approach. For example, prediction can be done as specified above in Section I.B.
D. Retrain Neural Network Step or Module
Referring again to FIG. 1, once the predicted output data has been produced by the neural network 1206, a retrain neural network step or module 108 is used.
Retraining of the neural network 1206 occurs when new training input data becomes available. FIG. 5 shows a representative embodiment of the retrain neural network step or module 108.
Referring now to FIG. 5, an order pointer 124 shows that a new training input data? step or module 306 determines if new training input data has become available. FIG. 9 shows a representative embodiment of the new training input data? step or module 306. Step or module 306 was described above in connection with FIG. 3; for this reason, it is not described again here.
As indicated by an order pointer 126, if new training data is not present, the present invention returns to the predict output data using neural network step or module 106, as shown in FIG. 1.
If new training input data is present, the neural network 1206 is retrained, as indicated by a module or step 308. A representative example of module or step 308 is shown in FIG. 10. Since training of the neural network is the same as retraining, and has been described in connection with FIG. 3, module or step 308 is not discussed in detail here.
Once the neural network 1206 has been retrained, an order pointer 128 causes the present invention to move to an enable/disable control step or module 110 discussed below.
E. Enable/Disable Control Module or Step 110
Referring again to FIG. 1, once the neural network 1206 has been retrained, as indicated by the step or module 108, the present invention moves to an enable/disable control step or module 110. The purpose of the enable/disable control step or module 110 is to prevent the control of the process using output data (predicted values) produced by the neural network 1206 when the error is not unacceptable ("poor").
A representative example of the enable/disable control step or module 110 is shown in FIG. 6. Referring now to FIG. 6, the function of module 110 is to enable control of the controlled process if the error is acceptable, and to disable control if the error is unacceptable. As shown in FIG. 6, an order pointer 128 moves the present invention to an error acceptable? step or module 310. If the error between the training input data and the predicted output data is unacceptable, control of the controlled process is disabled by a disable control step and module 604. The disable control step and module 604 sets a flag (indicator) which can be examined by the control process using output data step and module 112 indicating that the output data should not be used for control.
FIG. 30 shows a representative embodiment of the enable control step and module 602. Referring now to FIG. 30, an order pointer 142 causes the present invention first to move to an output data indicates safety or operability problems? step or module 3002. If the output data does not indicate a safety or operability problem, this indicates that the process 1212 can continue to operate safely. This is indicated by the fact that the present invention moves to the enable control using output data step or module 3006.
In contrast, if the output data does indicate a safety or operability problem, the present invention recommends that the process being controlled be shut down, as indicated by a recommend process shutdown step and module 3004. This recommendation to the operator of the process 1212 can be made using any suitable approach. An example is a screen display or an alarm indicator. This safety feature allows the present invention to prevent the controlled process 1212 from reaching a critical situation.
If the output data does not indicate safety or operability problems in step and module 3002, or after the recommendation to shut down the process has been made in step and module 3004, the present invention moves to the enable control using output data step and module 3006. This step and module 3006 sets a flag (indicator) which can be examined by step and module 112, indicating that the output data should be used to control the process.
Thus, it can be appreciated that the enable/disable control step or module 110 provides the function to the present invention of (1) allowing control of the process 1212 using the output data in step or module 112, (2) preventing the use of the output data in controlling the process 1212, but allowing the process 1212 to continue to operate, or (3) shutting down the process 1212 for safety reasons.
F. Control Process Using Output Data Step or Module 112
Referring again to FIG. 1, the order pointer 122 indicates that the control of the process using the output data from the neural network 1206 runs in parallel with the prediction of output data using the neural network 1206, the retraining of the neural network 1206, and the enable/disable control of the process 1212.
FIG. 7 shows a representative embodiment of the control process using output data step and module 112. Referring now to FIG. 7, the order pointer 122 indicates that the present invention first moves to a wait controller interval step or module
702. The interval at which the controller operates can be any preselected value. This interval can be a time value, an event, or the occurrence of a data value. Other interval control methods or procedures can be used.
Once the controller interval has occurred, as indicated by the order pointer, the present invention moves to a control enabled? step or module 704. If control has been disabled by the enable/disable control step or module 110, the present invention does not control the process 1212 using the output data. This is indicated by the order pointer marked "NO" from the control enabled? step or module 704.
If control has been enabled, the present invention moves to the retrieve output data from historical database step or module 706. This step or module shows that the output data 1218 (see FIG. 12) produced by the neural network 1206 and stored in the historical database 1210 is retrieved (1214) and used by the controller 1202 to compute controller output data 1208 for control of the process 1212.
This control by the controller 1202 of the process 1212 is indicated by an effectively control process using controller to compute controller output step or module 708 of FIG. 7.
Thus, it can be appreciated that the present invention effectively controls the process using the output data from the neural network 1206. It should be understood that the control of the process 1212 can be any presently known or future developed approach, including the architecture shown in FIGS. 15 and 16.
Alternatively, when the output data from the neural network 1206 is determined to be unacceptable, the process 1212 can continue to be controlled 1202 by the controller without the use of the output data.
V. Preferred Structure (Architecture)
Discussed above in Section III has been the preferred method of operation of the present invention. Discussed in this Section are the preferred structures (architecture) of the present invention. However, it should be understood that in the description set forth above, the modular structure (architecture) of the present invention was also discussed in connection with the operation. Thus, certain portions of the structure of the present invention have inherently been described in connection with the description set forth above in Section III.
The preferred embodiment