引用本文:柴琳,费树岷.一类改进的输入时滞的线性时滞系统的H_∞控制[J].控制理论与应用,2006,23(5):800~804.[点击复制]
CHAI Lin, FEI Shu-min .Improved method of H-infinity control for a class of linear time-delay systems with input delay[J].Control Theory and Technology,2006,23(5):800~804.[点击复制]
一类改进的输入时滞的线性时滞系统的H_∞控制
Improved method of H-infinity control for a class of linear time-delay systems with input delay
摘要点击 1586  全文点击 1351  投稿时间：2004-11-24  修订日期：2005-11-15
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DOI编号  
  2006,23(5):800-804
中文关键词  输入时滞  时滞系统  LMI  基于“descriptor form”的Lyapunov-Krasovskii泛函
英文关键词  input delay  time-delay systems  LMI  Lyapunov-Krasovskii functional based on "descriptor form"
基金项目  国家自然科学基金资助项目(69934010); 博士点基金资助项目(20030286013)．
作者单位
柴琳,费树岷 东南大学自动化学院,江苏南京210096 
中文摘要
      针对一类带输入时滞的线性时滞系统,基于LMI方法,采用一种基于“descriptor form”的Lyapunov- Krasovskii泛函和无记忆的状态反馈控制,在放大过程中对未知矩阵减小限制并降低维数,从而得到了该类系统的H∞控制器的保守性较小、较为简便的充分条件解．对以往的方法指出问题并提出改进思想,得到了各种情况下如何选用保守性较小且简便实用的算法,仿真实例验证了算法的可行性．
英文摘要
      A method of LMI(linear matrix inequality)and a kind of Lyapunov-Krasovskii functional based on "descriptor form" are applied to design H-infinity controller for a class of linear time-delay systems with input delay, which is via the memoryless state feedback control. Less restrictions and low dimensions are realized on unknown matrices, resulting in a less conservative and simpler sufficient condition. Disadvantages and their improvement are also proposed for the old strategies, and proper algorithms under special situations are brought forward with some feasible numerical examples.