引用本文:汪锐, 刘建昌, 赵军.一类线性不确定切换时滞系统的可靠保成本控制[J].控制理论与应用,2006,23(6):1001~1004.[点击复制]
WANG Rui, LIU Jian-chang, ZHAO Jun.Reliable guaranteed-cost control for a class of uncertain switched linear systems with time-delay[J].Control Theory and Technology,2006,23(6):1001~1004.[点击复制]
一类线性不确定切换时滞系统的可靠保成本控制
Reliable guaranteed-cost control for a class of uncertain switched linear systems with time-delay
摘要点击 1380  全文点击 1445  投稿时间:2005-03-23  修订日期:2005-12-05
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DOI编号  10.7641/j.issn.1000-8152.2006.6.030
  2006,23(6):1001-1004
中文关键词  切换系统  时滞系统  可靠保成本  多Lyapunov 函数
英文关键词  switched systems  time-delay systems  reliable guaranteed-cost  multiple-Lyapunov function
基金项目  国家自然科学基金资助项目(60274009); 辽宁省自然科学基金资助项目(20032020).
作者单位
汪锐, 刘建昌, 赵军 东北大学信息科学与工程学院, 辽宁沈阳110004 
中文摘要
      研究了一类含有故障执行器的线性不确定切换时滞系统的可靠保成本鲁棒控制问题. 当执行器发生“严重失效”—-未失效执行器不能镇定原系统时, 基于多Lyapunov 函数的方法, 以线性矩阵不等式(LMIs)的形式给出了状态反馈可靠保成本控制器存在的充分条件, 同时对于闭环系统的成本函数进行了优化. 最后用仿真结果验证了所设计方法的有效性.
英文摘要
      The problem of the reliable guaranteed -cost robust control for a class of uncertain switched linear time-delay systems with actuator failures is addressed in this paper. When actuators suffer from “serious failure”, the survived actuators can not stabilize the given system. Based on multiple Lyapunov function technique, we derived a sufficient condition for the existence of state feedback reliable guaranteed-cost controller in terms of linear matrix inequalities (LMIs). The cost function of the closed-loop system is also optimized via quadratic index. Finally, a numerical example illustrates the effectiveness of the proposed approach.