不确定性关联奇异大系统时滞相关分散鲁棒镇定  

Delay-dependent decentralized robust stabilization for interconnected singular large-scale system with uncertainties

作　　者：蒋朝辉[1] 桂卫华[1] 谢永芳[1] 

机构地区：[1]中南大学信息科学与工程学院,湖南长沙410083

出　　处：《控制理论与应用》2009年第11期1303-1308,共6页Control Theory & Applications

基　　金：国家自然科学基金资助项目(60634020);博士点基金资助项目(20070533132;20050533028);新世纪优秀人才支持计划资助项目(NCET–07–0867);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.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.

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 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]