一类参数未知混沌系统的自适应控制  

Adaptive Control for a Class of Chaotic Systems with Unknown Parameters

作　　者：傅桂元[1] 李钟慎[1] 

机构地区：[1]华侨大学机电及自动化学院,福建泉州362021

出　　处：《华侨大学学报（自然科学版）》2010年第2期145-148,共4页Journal of Huaqiao University(Natural Science)

基　　金：福建省自然科学基金计划资助项目(E0710018)

摘　　要：基于主动的Backstepping控制方法,通过引入自适应控制,在线辨识系统的参数,设计自适应控制器;对一类含有未知参数的混沌系统进行控制,使被控系统能够稳定到任意点.同时,基于Lyapunov稳定性理论,分析系统的稳定性.该控制方法对于具有严格参数反馈形式的系统,以及非严格参数反馈形式系统均适用.数值仿真结果验证了该控制方法的有效性,系统在控制器的作用下能快速稳定到期望点.Based on active backstepping controlling method, the adaptive control scheme is introduced for online parameter identification and adaptive controller design. A class of chaotic systems with unknown parameters are controlled so that the controlled systems could be stable at any user-defined point. Meanwhile, the stability of the system is analyzed based on Lyapunov stability theory. The control scheme is suitable for systems in parametric strict-feedback forms as well as systems in parametric non-strict-feedback forms. The results of numerical simulation have proven the effectiveness of control method and the system with the controller can reach the desired point rapidly and stablely.

关 键 词：混沌系统 参数未知 主动Backstepping方法 自适应控制 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]