切换线性广义系统的指数容许性与镇定性  

Exponential Admissibility and Stabilization of Switched Linear Singular Systems

作　　者：李圣荣[1] 蹇继贵[1] 耿彦峰[1] 

机构地区：[1]三峡大学理学院,湖北宜昌443002

出　　处：《河南师范大学学报（自然科学版）》2009年第5期14-17,共4页Journal of Henan Normal University(Natural Science Edition)

基　　金：湖北省教育厅科技创新团队项目(T200809);湖北省自然科学基金计划项目(2008CDB316;2008CDZ046)

摘　　要：研究了切换线性广义系统的指数容许性与镇定性问题.应用共同Lyapunov函数法,对子系统为连续广义系统或离散广义系统的切换系统分别给出了在任意切换律下是指数容许的充分条件及相应的共同Lyapunov函数;通过设计状态反馈增益矩阵,给出了能够保证闭环系统在任意切换律下是指数容许的镇定控制器.最后,两个数值例子说明了结论的有效性.This paper considers the exponential admissibility and stabilization of switched linear singular systems. Based on the approach of common Lyapunov function, two sufficient conditions of exponential admissibility under arbitrary switching and common Lyapunov functions are given for switched systems with continuous-time or discrete-time singular subsystems. By designing state feedback matrices, stabilization controls are given to ensure the exponential admissibility under arbitrary switching of the closed-loop systems. Finally, two numerical examples illustrate the effectiveness of the conclusions.

关 键 词：切换系统 广义系统 指数容许性 镇定性 共同LYAPUNOV函数 

分 类 号：O231.2[理学—运筹学与控制论]