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.
出处
《控制理论与应用》
EI
CAS
CSCD
北大核心
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)"
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
delay-dependent
interconnected singular large-scale system
uncertainty
decentralized robust stabilization
matrix inequalities
