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计算机工程 ›› 2008, Vol. 34 ›› Issue (15): 13-15. doi: 10.3969/j.issn.1000-3428.2008.15.005

• 博士论文 • 上一篇    下一篇

切换时滞线性系统的状态反馈H∞控制

付主木1,邱联奎1,高爱云2,费树岷3   

  1. (1. 河南科技大学电子信息工程学院,洛阳 471003;2. 河南科技大学车辆与动力工程学院,洛阳 471003; 3. 东南大学自动化学院,南京 210096)
  • 收稿日期:1900-01-01 修回日期:1900-01-01 出版日期:2008-08-05 发布日期:2008-08-05

State Feedback H∞ Control for Switched Linear Systems with Delay

FU Zhu-mu1, QIU Lian-kui1, GAO Ai-yun2, FEI Shu-min3   

  1. (1. Electronic & Information Engineering College, Henan University of Science and Technology, Luoyang 471003; 2. Vehicle & Motive Power Engineering College, Henan University of Science and Technology, Luoyang 471003; 3. School of Automation, Southeast University, Nanjing 210096)
  • Received:1900-01-01 Revised:1900-01-01 Online:2008-08-05 Published:2008-08-05

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 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。

关键词: 切换系统, 控制, 状态反馈, 状态时滞, 线性矩阵不等式

Abstract: 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.

Key words: switched systems, H∞ control, state feedback, state delay, Linear Matrix Inequalities(LMIs)

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