KR20140143225A - Setting calculation system learning device and learning method - Google Patents
Setting calculation system learning device and learning method Download PDFInfo
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- KR20140143225A KR20140143225A KR1020147031254A KR20147031254A KR20140143225A KR 20140143225 A KR20140143225 A KR 20140143225A KR 1020147031254 A KR1020147031254 A KR 1020147031254A KR 20147031254 A KR20147031254 A KR 20147031254A KR 20140143225 A KR20140143225 A KR 20140143225A
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- B—PERFORMING OPERATIONS; TRANSPORTING
- B21—MECHANICAL METAL-WORKING WITHOUT ESSENTIALLY REMOVING MATERIAL; PUNCHING METAL
- B21B—ROLLING OF METAL
- B21B37/00—Control devices or methods specially adapted for metal-rolling mills or the work produced thereby
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- G—PHYSICS
- G05—CONTROLLING; REGULATING
- G05B—CONTROL OR REGULATING SYSTEMS IN GENERAL; FUNCTIONAL ELEMENTS OF SUCH SYSTEMS; MONITORING OR TESTING ARRANGEMENTS FOR SUCH SYSTEMS OR ELEMENTS
- G05B13/00—Adaptive control systems, i.e. systems automatically adjusting themselves to have a performance which is optimum according to some preassigned criterion
- G05B13/02—Adaptive control systems, i.e. systems automatically adjusting themselves to have a performance which is optimum according to some preassigned criterion electric
- G05B13/0265—Adaptive control systems, i.e. systems automatically adjusting themselves to have a performance which is optimum according to some preassigned criterion electric the criterion being a learning criterion
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- G—PHYSICS
- G05—CONTROLLING; REGULATING
- G05B—CONTROL OR REGULATING SYSTEMS IN GENERAL; FUNCTIONAL ELEMENTS OF SUCH SYSTEMS; MONITORING OR TESTING ARRANGEMENTS FOR SUCH SYSTEMS OR ELEMENTS
- G05B13/00—Adaptive control systems, i.e. systems automatically adjusting themselves to have a performance which is optimum according to some preassigned criterion
- G05B13/02—Adaptive control systems, i.e. systems automatically adjusting themselves to have a performance which is optimum according to some preassigned criterion electric
- G05B13/04—Adaptive control systems, i.e. systems automatically adjusting themselves to have a performance which is optimum according to some preassigned criterion electric involving the use of models or simulators
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- G—PHYSICS
- G05—CONTROLLING; REGULATING
- G05B—CONTROL OR REGULATING SYSTEMS IN GENERAL; FUNCTIONAL ELEMENTS OF SUCH SYSTEMS; MONITORING OR TESTING ARRANGEMENTS FOR SUCH SYSTEMS OR ELEMENTS
- G05B21/00—Systems involving sampling of the variable controlled
- G05B21/02—Systems involving sampling of the variable controlled electric
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- G06—COMPUTING; CALCULATING OR COUNTING
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Abstract
There is provided a learning apparatus of a setting calculation system capable of appropriately updating a learning term of each function constituting a mathematical expression model even when a part of actual values necessary for learning of the mathematical model can not be obtained. To this end, a learning apparatus for updating a learning term of a mathematical expression model by using a measured value in a setting calculation system that calculates a set value of a mechanical equipment using an mathematical model, comprising: a learning device for learning each of an upstream side and a downstream side An actual value judging section for judging whether or not the first actual value inputted to the downstream side function in the calculation of the learning term of the downstream side function is abnormal; A second calculation unit that calculates a second calculation result of the second calculation based on the output from the first calculation unit and the second calculation unit, And a supplementary learning calculation section for distributing the error of the calculated results to the respective learning terms of the upstream side and the downstream side functions.
Description
The present invention relates to a learning apparatus and a learning method of a setting calculation system.
Generally, for example, as a method of determining a set value for controlling a machine tool in a process line or the like of a rolling plant, a mathematical expression model in which a physical phenomenon occurring in an environment including a control object is represented and reproduced by an expression, A method of determining a set value by determining a set value for obtaining a desired result on the mathematical expression model is known.
In the determination of the set value using the mathematical expression model, increasing the precision of reproduction of the target physical phenomenon in the mathematical expression model to be used leads to determination of a better set value. Thus, in order to improve the precision of the mathematical expression model, it has been conventionally done to incorporate the term into the mathematical expression model and to modify the mathematical expression model based on the actual value.
As a learning method of such a mathematical model, a calculation value (an actual calculation value) of an actual value calculated by a mathematical expression model is compared with an actual value obtained from a measured value actually measured by a meter or the like, and the learning of the mathematical expression model The method of updating the term is often adopted.
In the conventional learning method, factors causing a difference in the actual calculated value by the mathematical expression model and actual actual values are called the time series fluctuation of the process line due to the change of the equipment or the environment, the type of the material processed in the process line, It is known that the calculation values of the mathematical expression model are corrected based on the learning coefficients calculated for each of these two kinds of fluctuations (for example, see Patent Document 1 Reference).
However, when the physical phenomenon (that is, the physical phenomenon occurring in the control object) to be reproduced by the mathematical expression model is complex, a mathematical expression model for reproducing the physical phenomenon by the synthesis function synthesizing a plurality of simpler functions . In such a case, it is preferable from the viewpoint of improving the reproduction precision of the mathematical expression model that a learning term is provided for each function constituting the combining function to perform learning for each individual function.
However, when measured values can not be obtained due to problems such as the environment around the measuring instrument, there is a possibility that actual values necessary for learning can not be obtained for some of the functions constituting the mathematical expression model. As the synthesis functions composing the mathematical expression model are synthesized with more functions and the more kinds of actual values required for learning are, the more likely the probability that some of the actual values will be defective will increase.
The problem that the learning of the mathematical model can not be completed due to the lack of some of the actual values required for the learning and the prediction accuracy of the mathematical expression model is temporarily lowered is known as the learning apparatus and learning method of the conventional setting calculation system exist. In the situation immediately after the learning is started, if the learning of the mathematical expression model can not be completed due to a deficiency in a part of the actual values required for learning, it is necessary until the mathematical expression model can predict the originally expected precision There is also a problem that the time is lengthened.
SUMMARY OF THE INVENTION The present invention has been made to solve such problems, and it is an object of the present invention to provide a learning method and a learning method for learning a mathematical model, The learning term of the setting calculation system can be appropriately updated and degradation of the accuracy of the mathematical expression model can be suppressed.
The learning apparatus of the setting calculation system according to the present invention is a learning apparatus for updating a learning term of the mathematical expression model using an actual value in a setting calculation system for calculating a set value of a mechanical equipment using an mathematical model, A learning term calculation unit for calculating a learning term of each of an upstream side function and a downstream side function constituting the learning term by using the measured value; An output from the upstream function is input to the downstream function to determine whether the first actual value is abnormal or not, A function calculating section for calculating a performance calculation value output from the function on the downstream side, The error of the measured value of the results calculated for the second measured value, and a complementary learning unit operable to distribute the calculated learning, wherein learning and wherein the downstream-side function of the upstream function.
In a learning method of a setting calculation system according to the present invention, in a setting calculation system for calculating a set value of a mechanical equipment using an equation model, a learning method of updating a learning term of the equation model by using an actual value, A first step of calculating a learning term of each of an upstream side function and a downstream side function constituting a model by using the actual values; and a second step of calculating a learning term of the downstream function in the first step, A second step of determining whether or not the first measured value, which is an actually measured value to be input, is abnormal; and a second step of determining whether or not the first measured value is abnormal, A third step of calculating a performance calculation value output from the downstream-side function, and a third step of calculating an actual-value calculation value corresponding to the output from the downstream- The error of the results calculated for the second measured value, and a step of
In the learning apparatus and the learning method of the setting calculation system according to the present invention, even when a part of the actual values required for learning the mathematical expression model can not be obtained, learning using the obtained actual values is performed, Term can be appropriately updated, and it is possible to suppress deterioration in precision of the mathematical expression model.
BRIEF DESCRIPTION OF THE DRAWINGS Fig. 1 is a diagram for explaining the entire configuration of a setting calculation system according to Embodiment 1 of the present invention; Fig.
Fig. 2 is a flowchart for explaining the operation of the learning apparatus of the setting calculation system according to the first embodiment of the present invention; Fig.
3 is a diagram for explaining a detailed configuration centered on a learning apparatus included in a setting calculation system according to Embodiment 1 of the present invention.
The present invention will be described with reference to the accompanying drawings. Throughout the drawings, the same reference numerals denote the same or corresponding parts, and redundant descriptions thereof are appropriately simplified or omitted.
Embodiment Mode 1.
1 to 3 relate to a first embodiment of the present invention. FIG. 1 is a diagram for explaining the entire configuration of a setting calculation system, FIG. 2 is a flowchart for explaining an operation of a learning apparatus of the setting calculation system, 3 is a diagram for explaining a detailed configuration around a learning apparatus provided in the setting calculation system.
1 shows the entire configuration of a
In the
The measured value collecting
The
The equation model
The measured
When the actual value is judged to be abnormal by the actual
Here, the "performance calculation value corresponding to the measured value" will be described again. First, as described previously, when the physical phenomenon to be reproduced by the mathematical expression model is complex, a mathematical expression model for reproducing the physical phenomenon may be constructed by combining a plurality of simpler functions. In such a case, the output from a certain function (hereinafter referred to as " upstream function ") becomes the input of another function (hereinafter referred to as " downstream function "
When the upstream side function and the downstream side function having such a relationship exist, the updating of the learning term in the downstream side function is performed when the measured value collected by the measured
Thus, by inputting the performance calculation value output from the upstream-side function into the downstream-side function instead of the measured value, the learning in the downstream-side function proceeds. That is, the above-mentioned " performance calculation value corresponding to the measured value " is the calculated value of the upstream side function used as the input of the downstream-side function in the mathematical expression model.
In this way, when the learning in the downstream function is advanced by inputting the performance calculation value output from the upstream-side function to the downstream-side function instead of the measured value, if it is intrinsic (that is, if the normal measured value to be input to the downstream- , The error to be absorbed in the learning term of the upstream side function is also absorbed in the learning term on the downstream side. Then, when a correct one is obtained as an actual value to be used for inputting the downstream function, when the learning in each of the upstream function and the downstream function is resumed, the individual learning of the upstream function and the downstream function And the learning accuracy in the term is deteriorated.
Therefore, in the
The
The procedure for obtaining the distribution ratio of the error at this time will be described. First, as the learning of the mathematical model progresses, the error between the output of the mathematical model and the actual value becomes smaller. Therefore, in a state in which the learning of the mathematical expression model proceeds sufficiently, the change when the learning term is updated is small. And, in the state where the learning term is stable as described above, the relative size of the learning term of each function can be evaluated with the size of each function as a scale. Here, the size of the function is the size of the output from the function whose reference to the function is input.
Thus, the supplemental
As a distribution ratio thus obtained, the supplementary
Next, the setting
The setting
[Equation 1]
During this process, Y 1 Z is obtained as a result of the correction by the learning term expressed by the following equation (2) with respect to the result output (Y 1 ). Then, by using the obtained Y 1 Z as an input to the model equation (1b) and calculating the following equation (3), an output V 1 from the upstream-side function is obtained. Where G is a function of the model equation (1b), W 1 l (l = 1, 2, ...), and G 1 is a function of the learning term. It is the other input variables, b 1 k (k = 1 , 2, ...) is the other of the input condition.
[Equation 2]
[Equation 3]
In this manner, V 1 output from the upstream-side function is input to the downstream-side function, and calculation of the equation model proceeds. The function of the
[Equation 4]
Then, Y 2 Z obtained by performing the correction by the learning term expressed by the following expression (5) with respect to the result output (Y 2 ) is input to the model equation (2b) ), The output V 2 from the downstream side function is obtained. This V 2 is the final result output from the mathematical model. Where G is the function of the model equation (2b), W 2 l (l = 1, 2, ...), and G 2 is the coefficient of the learning term. It is the other input variables, b 2 k (k = 1 , 2, ...) is the other of the input condition.
[Equation 5]
[Equation 6]
The setting
[Equation 7]
The equation model learning
With regard to the calculation of the learning term in the mathematical expression model learning
[Equation 8]
Y ACAL Z is obtained as a result of performing the correction by the learning term expressed by the following expression (9) on the result output (Y ACAL ). Then, using the obtained Y ACAL Z as the input of the model equation (b), the following equation (10) is calculated to obtain the performance calculation value (V ACAL ). In the equation (9), H is an error correction function, Z is a coefficient of a learning term, g is a function of the model equation (b), W l (l = 1, 2, , And b k (k = 1, 2, ...) are other condition inputs.
[Equation 9]
[Equation 10]
Next, the calculation of the learning term in the learning
Therefore, first, the actual value (Y ACT ) corresponding to the intermediate result output from the model equation (a) is calculated from the following equation (11) based on the measured value (V ACT ). This (Equation 11) where, g - 1 is the inverse of the model formula (b), W ACT l ( l = 1, 2, ...) is the other variable input of the measured value, b k (k = 1, 2, ...) Is the other condition input.
[Equation 11]
The error (Z CUR ) is calculated from the following equation (12) from Y ACAL obtained from the actual values (Y ACT ) and the equation (8) obtained in this manner. In this equation (12), h is an error calculation function.
[Equation 12]
For example, the difference between Y ACT and Y ACAL may be taken as a specific form of the error calculation function h (i.e., Z CUR = Y ACT -Y ACAL ), Y The ratio of ACT to Y ACAL may be taken (i.e., Z CUR = Y ACT / Y ACAL ). The concrete form of the error correcting function H of the equation (5) and (9) also changes according to the concrete form of the error calculating function h. That is, when the error calculation function h takes the difference of the input variables, the error correction function H takes the sum of the input variables, and the error calculation function h takes the ratio of the input variables , The error correcting function H takes the product of the input variable.
Then, a new learning term (Z NEW ) is calculated by smoothing the error by the following equation (13) and reflecting it to the learning term. In the equation (13), Z NEW is the learning term used in the setting calculation in the next
[Equation 13]
This is the calculation method of the learning term in the case where the measured value necessary for the calculation of the learning term can be normally obtained. On the other hand, as described above, when the measured value inputted to the downstream-side function is abnormal in the calculation of the term of the downstream-side function, the calculation result is input to the downstream-side function by inputting the calculated value of the output from the upstream- To obtain the performance calculation value necessary for learning in Calculation of the calculated value of the performance required for learning to the downstream function when the measured value input to the downstream function is abnormal in the calculation of the learning term of the downstream function will be described below.
In this case, the input to the model equation (2a) of the downstream-side function is V ACAL calculated using the equation (10) in the upstream-side function. Therefore, the function of a downstream function model equation (2a) of f, the set value of the measured value of the mechanical equipment (1) X 2ACT i (i = 1, 2, ...), the other of the condition input a 2 j (j = 1 , 2, ...), the intermediate result output (Y 2 ACAL ) from the model equation (2a) is expressed by the following expression (14). In the equation (14), V 1 ACAL is the calculated value of the performance calculated using the equation (10) on the upstream side function.
[Equation 14]
The learning term is calculated from the actual value (Y 2ACT ) obtained by substituting the actual value (V ACT ) = V 2ACT in the thus calculated
The calculation method of the distribution ratio of the error in the supplementary
[Equation 15]
[Equation 16]
In the case where the error calculation function h takes the ratio of the input variable, the distribution of the error in the complementary
[Equation 17]
[Equation 18]
In the equations (15) to (18), Z 1CUR is the error distributed to the learning term of the upstream function, Z 2CUR is the error distributed to the learning term of the upstream function, f is the model equation (a) .
After the error is proportionally distributed to each learning term of the upstream side function and the downstream side function, an error distributed to each of the learning terms of the upstream side function and the downstream side function by the equation (13) It is smoothed and then reflected in the learning term. The updated new learning term is used for calculating the set value in the setting
The flow of operation in the
In this step S4, the performance calculation value calculation unit 6a calculates the performance calculation value ( Y1ACAL ) of the upstream side function using the formula (8). In the succeeding step S5, the learning
After step S6, the process proceeds to step S7. In this step S7, the performance calculation value calculating section 6a substitutes the measured value V 1ACT into V ACT of the formula (8) to calculate the performance calculation value (Y 2ACAL ) of the downstream function. In the succeeding step S8, the learning
After step S9, the process proceeds to step S10. In this step S10, the learning
On the other hand, if V1ACT is abnormal in step S3, the process proceeds to step S20. In this step S20, the performance calculation value calculating unit 6a calculates the performance calculation value ( Y1ACAL ) of the upstream side function using the formula (8). In step S21, the performance calculation value calculation unit 6a calculates the performance calculation value V1ACAL of the upstream side function using the formula (9) and the formula (10).
After step S21, the process proceeds to step S22. In this step S22, the performance calculation value calculating unit 6a calculates the performance calculation value (Y 2 ACAL ) of the downstream side function using V 1 ACAL by the formula (14). In the succeeding step S23, the learning
Then, the process proceeds to step S24, where the supplementary
If it is determined in step S2 that V2ACT is abnormal, the flow advances to step S30. In this step S30, the measured
On the other hand, if V1ACT is not abnormal in step S30, the process proceeds to step S31. In this step S31, the performance calculation value calculating unit 6a calculates the performance calculation value ( Y1ACAL ) of the upstream side function using the formula (Eq. 8). In the succeeding step S32, the learning
After step S33, the process proceeds to step S34. In this step S34, the learning
The learning apparatus of the setting calculation system configured as described above includes a learning term calculation unit for calculating learning terms of each of an upstream side function and a downstream side function constituting the mathematical expression model using measured values, An output from the upstream function is determined as a downstream side function when the first measured value is determined to be abnormal; Side function and a second actual value corresponding to an output from the downstream-side function, and a second calculation unit that calculates an error of an actual calculation value with respect to a second actual value corresponding to an output from the downstream- And a supplementary learning calculation section that distributes the learning term to the learning term of the function.
Therefore, even when the actual value input to the downstream function can not be obtained for learning, the performance computation value output from the upstream function is input to the downstream function instead of the measured value to advance learning in the downstream function, The error is distributed to the learning term of the upstream side function and appropriate learning is realized in both the upstream side function and the downstream side function.
That is, even when a part of the actual values necessary for the learning of the mathematical expression model can not be obtained, it is possible to appropriately update the learning term of each function constituting the mathematical expression model by performing learning using the obtained actual values, It is possible to suppress deterioration in precision. For this reason, it can contribute to improvement in the calculation accuracy of the set value of the mechanical equipment.
Further, the learning apparatus of the setting calculation system configured as described above realizes, for example, a function of completing each part of the equation model learning calculation unit, the performance calculation value calculation unit, the learning term calculation unit, the measured value determination unit and the supplementary learning calculation unit It is also possible to execute the information processing for executing the above-described processing on hardware resources having a central processing unit, a storage device and the like.
[Industrial Availability]
INDUSTRIAL APPLICABILITY The present invention can be used in a learning apparatus and a learning method for updating a learning term of a mathematical expression model using an actual value in a setting calculation system for calculating a set value of a mechanical equipment using an mathematical model.
1: Hardware
2: Setting calculation system
3: Setting calculation device
4: Measured value collecting device
5: Learning device
6: Formula model learning calculation unit
6a: Calculation section
6b:
7:
8: Complementary learning calculation unit
Claims (5)
A learning term calculation unit for calculating a learning term of each of an upstream side function and a downstream side function constituting the above described mathematical expression model using said measured value;
An actual-value determining unit that determines whether or not the first measured value, which is an actually measured value, input to the downstream-side function in the calculation of the learning term of the downstream-side function in the learning term calculating unit is anomalous;
A performance calculation value calculation unit that inputs an output from the upstream function to the downstream function and calculates a performance calculation value output from the downstream function when the first measured value is determined to be abnormal;
And a supplementary learning calculation section for distributing the error of the performance calculation value to the second measured value which is the measured value corresponding to the output from the downstream side function to the learning term of the upstream side function and the learning term of the downstream side function Wherein the setting calculation system comprises:
The complementary learning unit may calculate a ratio of a magnitude of the output from the upstream function based on the input to the upstream function and a magnitude of the output from the downstream function based on the input to the downstream function, And distributes the error to the learning term of the upstream function and the learning term of the downstream function.
The supplementary learning unit,
The error is obtained by the difference between the second measured value and the calculated value of the performance,
And a learning term of the upstream function and a learning term of the downstream function are set such that the absolute value of the difference between the input to the upstream function and the output from the upstream function, Based on the absolute value of the difference between the input and the output from the downstream-side function.
The supplementary learning unit,
Wherein said error is obtained by a ratio between said second measured value and said calculated calculated value,
And a learning term of the downstream function and an absolute value of a ratio between an input to the upstream function and an output from the upstream function and an absolute value of the ratio of the absolute value of the ratio of the input to the upstream function to the output of the downstream function, Based on the absolute value of the ratio between the input and the output from the downstream-side function.
A first step of calculating a learning term of each of an upstream side function and a downstream side function constituting the mathematical expression model using the measured value,
A second step of determining whether or not the first measured value, which is an actually measured value inputted to the downstream function, is abnormal in the calculation of the term of the function of the downstream function in the first step,
A third step of inputting the output from the upstream function to the downstream function and calculating a calculated value of the output from the downstream function when the first measured value is determined to be abnormal;
And a fourth step of distributing the error of the actual calculated value to the actual measured value corresponding to the output from the downstream function to the learning term of the upstream function and the learning term of the downstream function Wherein the set-up calculation system comprises:
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