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不确定性关联奇异大系统时滞相关分散鲁棒镇定
引用本文:蒋朝辉,桂卫华,谢永芳.不确定性关联奇异大系统时滞相关分散鲁棒镇定[J].控制理论与应用,2009,26(11):1303-1308.
作者姓名:蒋朝辉  桂卫华  谢永芳
作者单位:中南大学信息科学与工程学院,湖南长沙,410083
基金项目:国家自然科学基金资助项目,,博士点基金资助项目(20070533132;):新世纪优秀人才支持计划资助项目,湖南省科研创新基金资助项目(1343-74236000011)" 
摘    要:针对一类不确定关联时滞奇异大系统,利用Lyapunov稳定性理论与时滞积分矩阵不等式相结合的方法,研究其时滞相关分散鲁棒镇定问题,目的是设计一无记忆状态反馈分散控制器,使闭环系统鲁棒稳定.用矩阵不等式方法,给出了该类系统时滞相关分散鲁棒镇定的充分条件.所得结果与系统时滞的大小有关,并以矩阵不等式的形式给出.最后用数值算例说明了所给方法的可行性和有效性.

关 键 词:时滞相关  关联奇异大系统  不确定性  分散鲁棒镇定  矩阵不等式
收稿时间:2008/2/25 0:00:00
修稿时间:2008/12/29 0:00:00

Delay-dependent decentralized robust stabilization for interconnected singular large-scale system with uncertainties
JIANG Zhao-hui,GUI Wei-hua and XIE Yong-fang.Delay-dependent decentralized robust stabilization for interconnected singular large-scale system with uncertainties[J].Control Theory & Applications,2009,26(11):1303-1308.
Authors:JIANG Zhao-hui  GUI Wei-hua and XIE Yong-fang
Affiliation:School of Information Science and Engineering, Central South University, Changsha Hunan, 410083;School of Information Science and Engineering, Central South University, Changsha Hunan, 410083;School of Information Science and Engineering, Central South University, Changsha Hunan, 410083
Abstract:The delay-dependent decentralized robust stabilization problem for an interconnected singular large-scale system with uncertainties is investigated by using Lyapunov stability theory and the delay-integral matrix inequality method. The purpose is to design a memoryless state feedback decentralized controller such that the whole closed-loop system is robust asymptotically stable. Sufficient conditions for the delay-dependent decentralized robust stabilization are obtained in terms of a set of matrix inequalities. The results depend on the size of the delays and are given in terms of matrix inequalities. A numerical example is provided to illustrate the effectiveness and the availability for the design.
Keywords:delay-dependent  interconnected singular large-scale system  uncertainty  decentralized robust stabiliza-tion  matrix inequalities
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