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切换时滞线性系统的状态反馈H_∞控制 被引量：1

State Feedback H_∞ Control for Switched Linear Systems with Delay
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摘要 研究一类由任意有限个时滞线性子系统组成的切换系统的状态反馈H_∞控制问题。利用Lyapunov函数方法和凸组合技术,给出由矩阵不等式表示的控制器存在的充分条件,设计相应的子控制器和切换规则。采用变量替代方法,将该矩阵不等式转化为一组线性矩阵不等式。给出一个求解状态反馈控制器增益矩阵的仿真算例。 This paper investigates the state feedback H∞ control problem for a class of switched linear systems with state delay. Based on Lyapunov function approaches and convex combinations techniques, a sufficient condition for the existence of sub-controllers is presented, which is in the form of matrix inequalities. Both sub-controllers and switching strategy are designed. By using variable substitution method, the matrix inequalities are changed into Linear Matrix Inequalities（LMIs）. A simulation example is given to solve the gain matrices of state feedback controllers.
作者 付主木 邱联奎 高爱云 费树岷
机构地区 河南科技大学电子信息工程学院 河南科技大学车辆与动力工程学院 东南大学自动化学院
出处 《计算机工程》 CAS CSCD 北大核心 2008年第15期13-15,共3页 Computer Engineering
基金 国家自然科学基金资助项目(60574006) 江苏省自然科学基金资助项目(BK2006564) 河南科技大学博士科研启动基金资助项目 河南省教育厅自然科学研究计划基金资助项目(2008B510003)
关键词 切换系统 H∞控制 状态反馈 状态时滞 线性矩阵不等式 switched systems H∞ control state feedback state delay Linear Matrix Inequalities（LMIs）
分类号 N945 [自然科学总论—系统科学]
  • 相关文献

参考文献6

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共引文献8

同被引文献11

  • 1Zhang Hui, Liu Yuzhong, Liu Lei. Stabilization of switched linear systems with multiple time-delays [ C ]//21 st Chinese Control and Decision Conference. Guilin :CCDC Press ,2009:4 583-4 587.
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  • 7Shi Y, Yu B. Output feedback stabilization of networked control systems with random delays modeled by Markov chains [ J ]. IEEE Transactions on Automatic Control ,2009,54 ( 7 ) : 1 668-1 674.
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计算机工程
2008年 第15期

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