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.[点击复制]
JIANG Zhao-hui,GUI Wei-hua,XIE Yong-fang.Delay-dependent decentralized robust stabilization for interconnected singular large-scale system with uncertainties[J].Control Theory and Technology,2009,26(11):1303~1308.[点击复制]
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
摘要点击 1689  全文点击 1104  投稿时间:2008-02-25  修订日期:2008-12-29
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DOI编号  
  2009,26(11):1303-1308
中文关键词  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
英文关键词  delay-dependent  interconnected singular large-scale system  uncertainty  decentralized robust stabilization  matrix inequalities
基金项目  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)”.
作者单位E-mail
蒋朝辉 中南大学 信息科学与工程学院, 湖南 长沙 410083 jiang_zhaohui@126.com 
桂卫华 中南大学 信息科学与工程学院, 湖南 长沙 410083  
谢永芳 中南大学 信息科学与工程学院, 湖南 长沙 410083  
中文摘要
      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.
英文摘要
      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.