A Nonlinear System Identification Method Based on Multi-objective Genetic Programming
A nonlinear system, multi-objective genetic technology, applied in the field of nonlinear system identification, can solve problems such as easy to fall into local optimal solution, difficult global optimal solution, long time consumption, etc.
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[0048] The present invention will be further described below in conjunction with the accompanying drawings and specific embodiments.
[0049] 1 Mathematical description
[0050] A nonlinear system can be represented by the following mathematical model:
[0051] y=g(c, x). Formula (1)
[0052] where y=[y(1) y(2) ... y(m)] T Represents the output data of the nonlinear system, m represents the observation length of the output data, y(1) represents the output value observed at the first time length, and so on, g represents the structure of the nonlinear system, c represents the nonlinear system parameter vector, x=(x 1 , x 2 ,...,x n ) represents the input data of the nonlinear system, and n represents the number of variables in the original input variable set of the nonlinear system. In the absence of any prior information, the structure and parameters of the nonlinear system are to be found. Moreover, not all of the rich input variables are related to the output variables...
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