Iterative Optimization Identification Method For Nonlinear Systerms

The stability of nonlinear systems is the basis of controller design.However,due to the complexity of nonlinear system structure,the existence of coupling characteristics and the increase of dimension after parameterization,the traditional identification methods are not suitable for nonlinear systems.Therefore,it is of universal significance and practical value to explore the identification of nonlinear systems.In this paper,gradient iteration method and Newton iteration method are used to solve the identification problem of nonlinear system,and the effectiveness of the method is verified by numerical simulation.The specific work of this paper is as follows(1)For fractional nonlinear systems,gradient iterative algorithm and Newton iterative algorithm are proposed.In view of the complexity of the system,this paper proposes gradient iterative algorithm and Newton iterative algorithm model based on model transformation.Compared with the previous methods,the latter has higher computational efficiency.(2)For the exponential nonlinear system,the corresponding gradient iterative algorithm and Newton iterative algorithm are derived,and the effectiveness of the algorithm is verified by the corresponding simulation examples.(3)For fractional exponential nonlinear system,the gradient iterative algorithm and Newton iterative algorithm are given,and the effectiveness of the algorithm is verified by corresponding simulation examples.Finally,the work of this paper is summarized,and the future research is prospected.