一类非线性系统的模糊自适应辨识及稳定性分析

Fuzzy Adaptive Identification and Stability Analysis of a Class of Nonlinear System

针对一类含未建模动态的非线性系统,提出了一种模糊自适应辨识及稳定性分析方法.该方法首先设计模糊辨识器对系统未知部分进行辨识,然后设计控制器使系统稳定.控制器中的状态反馈控制器使系统的线性部分稳定,而基于辨识器的补偿器则用来消除未建模动态.仿真研究结果表明:该方法可以对非线性系统进行辨识,并使得整个系统稳定.

A method of fuzzy identification and stability analysis is presented for a class of nonlinear system with unmodelling dynamic. First, a fuzzy identifier is designed to identify the unmodelling dynamic of the system, then the controller is designed to make the system stable. The state feedback controller makes linear part of system stable, and the compensator based on identifier can eliminate the unmodelling dynamic. Simulation results demonstrate that the method can identify nonlinear system effectively and make the whole system stable.