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一类离散时滞大系统的指数稳定非脆弱控制器设计
引用本文:姚合军,袁付顺,闫聪.一类离散时滞大系统的指数稳定非脆弱控制器设计[J].安徽大学学报(自然科学版),2010,34(5).
作者姓名:姚合军  袁付顺  闫聪
作者单位:安阳师范学院,数学与统计学院,河南,安阳,455002
基金项目:国家自然科学基金资助项目,河南省基础与前沿技术研究基金资助项目,河南省教育厅自然科学基金资助项目,安阳市科技攻关基金资助项目,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.

关 键 词:大系统  非脆弱控制  指数稳定  线性矩阵不等式

Design of exponential stability non-fragile controller for a class of discrete-time large-scale systems with delays
YAO He-jun,YUAN Fu-shun,YAN Cong.Design of exponential stability non-fragile controller for a class of discrete-time large-scale systems with delays[J].Journal of Anhui University(Natural Sciences),2010,34(5).
Authors:YAO He-jun  YUAN Fu-shun  YAN Cong
Institution:YAO He-jun,YUAN Fu-shun,YAN Cong (School of Mathematics , Statistics,Anyang Normal University,Anyang 455002,China)
Abstract: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.
Keywords:large-scale systems  non-fragile control  exponential stability  linear matrix inequalities(LMI)  
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