关于一类非线性系统的分析和辨识

Analysis and Identification for a Kind of Nonlinear System

本文讨论一类用多项式型描述的非线性系统的分析和辨识问题。首先,利用不动点理论建立了这一类非线性反馈系统的迭代格式和输入输出稳定性判据;其次,得到了一种非线性系统的有效辨识方法,这种方法可用快速Fourier技术实现。

In this paper, the "methods of analysis and identification for a kind of nonlinear system which can be described by the polynomial are discussed. First, a recursion of the output and a stability criterion for the nonlinear feedback system are obtained by the fixed point theorem. Secondly, an identification method which is based on FFT for the nonlinear system is established. All the methods are effective and advisable.