Compensator, control system, compensation method, and program

A compensator comprising:

• a processor;
• and
• a storage device connected to the processor and configured to store a measured input value that is a measured value of an input to a subject to control and a measured output value that is a measured value of an output from the subject to control;
• the processor performing
• processing for determining, from the measured input value and the measured output value, a second coefficient configuring an infinite impulse response filter, and identifying an inverse system that is a system including the second coefficient and configured to identify a target value of the input from a target value of the output from the subject to control, and
• processing for calculating an input value to be input to the subject to control from a weighted sum of the target value of the output set in accordance with a time, based on the inverse system.

A compensator comprising:

• a processor;
• and
• a storage device connected to the processor and configured to store, in advance, a measured input value that is a measured value of an input to a subject to control, a measured output value that is a measured value of an output from the subject to control, a plurality of first coefficients respectively configuring a plurality of model candidates for the subject to control, and an inverse system that corresponds to each of the plurality of model candidates, the inverse system being configured to identify a target value of the input from a target value of the output from the subject to control;
• the processor performing
• processing for estimating a likelihood of each of the plurality of model candidates based on the measured output value, and an estimated value of the output obtained from the plurality of first coefficients and the measured input value,
• processing for selecting the model candidate having the highest estimated likelihood, and
• processing for calculating an input value to be input to the subject to control from a weighted sum of the target value of the output set in accordance with a time, based on the inverse system corresponding to the selected model candidate.

A compensator comprising:

• a processor;
• and
• a storage device connected to the processor and configured to store, in advance, a measured input value that is a measured value of an input to a subject to control, a measured output value that is a measured value of an output from the subject to control, and a plurality of first coefficients respectively configuring a plurality of model candidates for the subject to control;
• the processor performing
• processing for estimating a likelihood of each of the plurality of model candidates based on the measured output value, and an estimated value of the output obtained from the plurality of first coefficients and the measured input value,
• processing for deriving a third coefficient that is a weighted average of the first coefficient of each of the model candidates, using the likelihood as a weighting factor,
• processing for determining, based on the third coefficient, a second coefficient configuring an infinite impulse response filter, and identifying an inverse system that is a system including the second coefficient and a part of the third coefficient and configured to identify a target value of the input from a target value of the output from the subject to control, and
• processing for estimating an input value to be input to the subject to control from a weighted sum of the target value of the output set in accordance with a time, based on the inverse system.

A compensation method comprising:

• identifying a first coefficient configuring a finite impulse response filter from a measured input value that is a measured value of an input to a subject to control and a measured output value that is a measured value of an output from the subject to control;
• determining, based on the first coefficient, a second coefficient configuring an infinite impulse response filter, and identifying an inverse system that is a system including the second coefficient and a part of the first coefficient and configured to identify a target value of the input from a target value of the output from the subject to control;
• and
• estimating an input value to be input to the subject to control from a weighted sum of the target value of the output set in accordance with a time, based on the inverse system.

A non-transitory computer readable medium storing a program causing a computer of a compensator to perform:

• processing for identifying a first coefficient configuring a finite impulse response filter from a measured input value that is a measured value of an input to a subject to control and a measured output value that is a measured value of an output from the subject to control;
• processing for determining, based on the first coefficient, a second coefficient configuring an infinite impulse response filter, and identifying an inverse system that is a system including the second coefficient and a part of the first coefficient and configured to identify a target value of the input from a target value of the output from the subject to control;
• and
• processing for estimating an input value to be input to the subject to control from a weighted sum of the target value of the output set in accordance with a time, based on the inverse system.