基于状态观测器的一类混沌系统鲁棒控制

State Observer-based Robust Control for a Class of Chaotic Systems

运用状态反馈线性化与线性H∞ 鲁棒控制相结合的方法 ,设计了含外界干扰的混沌系统的非线性鲁棒控制器 ;利用混沌系统的自身特性设计了状态观测器来估计系统的未知状态 ,从而实现了混沌系统的状态观测器—鲁棒控制器设计。运用这一方法对R¨ossler混沌系统设计混沌控制器 。

A design method of chaotic system nonlinear H ∞ robust controller is proposed based on the combination of feedback linearization approach and linear H ∞ robust control theory.A simple state observer by using the characteristic of chaotic system itself is developed to estimate the state variables that are not measured.Combining the nonlinear H ∞ robust controller with the state observer,this paper investigates the observer-robust controller for a class of chaotic systems in which outside disturbance exists and state variables can not be all measured.As an example, the observer-robust controller for Rssler chaotic system is designed, and computer simulation results illustrate the validity of the controller.