一类离散时滞大系统的指数稳定非脆弱控制器设计  

Design of exponential stability non-fragile controller for a class of discrete-time large-scale systems with delays

作　　者：姚合军[1] 袁付顺[1] 闫聪[1] 

机构地区：[1]安阳师范学院数学与统计学院,河南安阳455002

出　　处：《安徽大学学报（自然科学版）》2010年第5期27-32,共6页Journal of Anhui University(Natural Science Edition)

基　　金：国家自然科学基金资助项目(60674020);河南省基础与前沿技术研究基金资助项目(092300410145);河南省教育厅自然科学基金资助项目(2009B110003);安阳市科技攻关基金资助项目(AY090067);安阳师范学院大学生创新基金资助项目

摘　　要：研究了一类离散时滞大系统的指数稳定非脆弱控制器设计问题.基于Lyapunov稳定性理论和线性矩阵不等式方法,设计系统的状态反馈非脆弱控制器,以线性矩阵不等式形式给出系统的指数稳定的充分条件,并可以通过M atlab十分方便地求解.This paper considered the problem of the design of exponential stability non-fragile controller for a class of discrete-time large-scale systems with delays. Based on the Lyapunov stability theory and linear matrix inequality approach, the state feedback non-fragile controller was given to guarantee the exponential stability of the systems. A sufficient condition was expressed in terms of linear matrix inequality which could be easily solved by the toolbox of Matlab.

关 键 词：大系统 非脆弱控制 指数稳定 线性矩阵不等式 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]