US 2020/0027013 A1 · MODEL ESTIMATION SYSTEM, METHOD, AND PROGRAM

Abstract

Provided is a model estimation system that can estimate a discrete time state space model having controllability. The model estimation system of the present invention estimates a model of a system that is represented by an ordinary differential equation with all the coefficients being non-zero, and with which input data and a state at each time can be obtained. When an order of the ordinary differential equation and input data and a state at multiple past times in the system are inputted, a model expression construction means 22 constructs an expression representing a model by using a first matrix that is a matrix according to the order and has only some elements as unknown elements and a second matrix that is a matrix according to the order and has only some element as an unknown element. A model estimation means 23 uses input data and a state at multiple past times, to estimate the model by learning unknown elements of the first matrix and an unknown element of the second matrix in the expression.

Claims6

Dependent claims

A model estimation system for estimating a model of a system that is represented by an ordinary differential equation with all coefficients being non-zero and allows input data and a state at each time to be obtained, the model estimation system comprising:

a model expression construction unit implemented by a processor and which constructs an expression representing a model for predicting a state of the system at a next time from input data and a state of the system at one time, when an order of the ordinary differential equation and input data and a state at multiple past times in the system are inputted, by using a first matrix that is a matrix according to the order and has only some elements as unknown elements and a second matrix that is a matrix according to the order and has only some element as an unknown element;
and
a model estimation unit implemented by the processor and which estimates the model by learning unknown elements of the first matrix and an unknown element of the second matrix in the expression by using input data and a state at the multiple past times.

A non-transitory computer-readable recording medium in which a model estimation program is recorded, the model estimation program for causing a computer to estimate a model of a system that is represented by an ordinary differential equation with all coefficients being non-zero and allows input data and a state at each time to be obtained, the model estimation program causes

the computer to execute:
a model expression construction process of constructing an expression representing a model for predicting a state of the system at a next time from input data and a state of the system at one time, when an order of the ordinary differential equation and input data and a state at multiple past times in the system are inputted, by using a first matrix that is a matrix according to the order and has only some elements as unknown elements and a second matrix that is a matrix according to the order and has only some element as an unknown element;
and
a model estimation process of estimating the model by learning unknown elements of the first matrix and an unknown element of the second matrix in the expression by using input data and a state at the multiple past times.

1 more element

Dependencies are inferred from the claim text.

Model estimation system, method, and program

Life of this patent

Model estimation system, method, and program

Life of this patent

Abstract

Claims6