一类Lipschitz非线性切换系统基于观测器的H_∞输出跟踪控制  

Observer-based H_∞ output tracking control for a class of switched Lipschitz nonlinear systems

作　　者：李莉莉[1,2] 邵诚[1] 

机构地区：[1]大连理工大学先进控制技术研究所,辽宁大连116024 [2]辽宁师范大学数学学院,辽宁大连116029

出　　处：《控制与决策》2012年第2期304-307,312,共5页Control and Decision

基　　金：国家自然科学基金项目(61074020);国家973计划项目(2007CB714006)

摘　　要：针对一类Lipschitz非线性切换系统,研究基于观测器的H∞输出跟踪控制问题.借助微分中值定理,将Lipschitz非线性切换系统转化为线性参数切换系统.当状态变量不可测或不易测时,利用多Lyapunov函数方法,同时设计观测器、基于观测器的跟踪控制器和滞后切换信号,使得系统满足H∞输出跟踪性能.最后通过仿真例子表明了设计方法的有效性.This paper studies with the problem of observer-based H∞ output tracking control for a class of switched Lipschitz nonlinear systems.The differential mean value theorem allows transforming the switched Lipschitz nonlinear systems into switched linear parameter-varying systems.By using a multiple Lyapunov functions approach,observers,observer-based tracking controllers and a hysteresis switching law are designed simultaneously to achieve the H∞ output tracking control performance,when the states are not completely available for switching and controller design.Finally,a numerical example shows the effectiveness of the proposed method.

关 键 词：切换系统 H∞输出跟踪控制 观测器 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]