引用本文:刘碧玉, 桂卫华, 吴 敏.时滞关联大系统基于分散控制的无源性(英文)[J].控制理论与应用,2005,22(1):52~56.[点击复制]
LIU Bi-yu, GUI Wei-hua, WU Min.Passivity of interconnected control systems with time-delays based on decentralized control[J].Control Theory and Technology,2005,22(1):52~56.[点击复制]
时滞关联大系统基于分散控制的无源性(英文)
Passivity of interconnected control systems with time-delays based on decentralized control
摘要点击 1220  全文点击 840  投稿时间:2002-11-15  修订日期:2004-01-02
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DOI编号  10.7641/j.issn.1000-8152.2005.1.010
  2005,22(1):52-56
中文关键词  分散控制  无源性  关联系统  时滞  线性矩阵不等式
英文关键词  decentralized control  passivity  interconnected systems  time-delay  linear matrix inequalityCLC number: TP13Document code: A
基金项目  
作者单位
刘碧玉, 桂卫华, 吴 敏 中南大学 信息科学与工程学院,湖南 长沙 410083
中南大学 数学科学与计算技术学院,湖南 长沙 410083 
中文摘要
      无源性不仅是系统的一个重要性质,而且是控制一个系统的重要途径.本文基于分散控制方法研究了关联大系统的无源性.利用Lyapunov-Krasovskii泛函方法和Hamilton函数方法,通过求解线性矩阵不等式(LMIs)得到了分散无源控制器的显式表达.所得到的新的无源性判据和无源控制器的参数是与时滞相关的.当关联时滞已知时,这些新结果的条件易于用Matlab中的LMI工具箱进行验证,因而控制器的设计也容易实现.最后用数值例子说明了所得到定理的有效性和无源控制器的设计过程.
英文摘要
      Passivity is not only an important property of a system,but also an important approach to control a system.Based on decentralized control method,the passivity of interconnected systems with time-delays is studied.Employing Lyapunov-Krasovskii functional method and Hamiltonian function method,the decentralized and passive controllers are presented explicitly by solving some linear matrix inequalities (LMIs).The new passivity criteria and the parameters of the passive controllers presented here are delay-dependent.By using the LMI toolbox in software Matlab,the conditions in the new results are easy to be verified and the (parameters) of the passive controllers are easy to be well set too,when the interconnected delays are known.A numerical example (illustrates) the availability of the theorems of passivity and the design procedure of the passive controllers.