非线性系统识别的一种频域方法

A Frequency Domain Identification Method of Nonlinear System

本文首先定义函数准正交的概念,然后在证明了时域频域正交定理的基础上,利用时域信息构造了一类正交函数,提出一种非线性系统识别的频域方法,从而将正交函数计算过程简单与频域信息抗干扰能力强的特点结合起来,算例证明了这一方法的优越性。

In this paper, a quasi-orthogonal function is defined and the orthogonal theorem in the time domain and frequency domain is proved. By using the time history of dynamic response. a kind of orthogonal function is established. Based on the orthogonal theorem, a frequency domain identification method of nonlinear systems is presented. The advantage of the method is that both the calculating simplicity of orthogonal function and the anti-noise ability of freqeuncy domain analysis can fully be used. At last, the reliability of the method is examined through some computer simulated examples.