引用本文:刘健辰,章兢.具有时变输入与状态时滞的Markov跳变系统鲁棒H∞控制[J].控制理论与应用,2010,27(6):809~814.[点击复制]
LIU Jian-chen,ZHANG Jing.Robust H-infinity control for Markovian jump systems with time-varying time-delay in input and state[J].Control Theory and Technology,2010,27(6):809~814.[点击复制]
具有时变输入与状态时滞的Markov跳变系统鲁棒H∞控制
Robust H-infinity control for Markovian jump systems with time-varying time-delay in input and state
摘要点击 1776  全文点击 1108  投稿时间：2008-10-13  修订日期：2009-08-26
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DOI编号  
  2010,27(6):809-814
中文关键词  Markovian跳变系统  时滞  积分不等式方法  锥补线性化
英文关键词  Markovian jump system  time-delay  integral-inequality method  cone complementary linearization
基金项目  
作者单位E-mail
刘健辰* 湖南大学 电气与信息工程学院 liujian4587@sina.com 
章兢 湖南大学 电气与信息工程学院  
中文摘要
      研究一类同时具有时变输入和状态时滞的不确定Markov跳变系统的时滞相关鲁棒H∞控制问题. 采用新的Lyapunov-Krasovskii泛函, 基于积分不等式方法, 使所得结果具有较小的保守性. 避免对时变时滞变化率等的限制. 控制器可以通过锥补线性化方法求解. 数值算例显示所提出方法的有效性.
英文摘要
      The delay-dependent robust H-infinity control for a class of uncertain Markovian jump linear systems with time-varying time-delay in input and state is studied. Since we employ in the study the new Lyapunov-Krasovskii functional and the integral-inequality method, the obtained results are less conservative. The constraints on the changing rate of the time-delay in the existing literature are avoided in our results. The controller can be solved by the cone complementary linearization method. Numerical examples show the effectiveness of the proposed approach.