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应用科学学报 ›› 2011, Vol. 29 ›› Issue (1): 92-96.doi: 10.3969/j.issn.0255-8297.2011.01.016

• 控制与系统 • 上一篇    下一篇

一类时滞分布参数切换系统的反馈镇定

董学平， 温锐， 刘红亮   

  1. 合肥工业大学电气与自动化工程学院，合肥230009
  • 收稿日期:2010-05-20 修回日期:2010-09-16 出版日期:2011-01-26 发布日期:2011-01-26
  • 作者简介:董学平，博士，副教授，研究方向：切换系统、分布参数系统等，E-mail：hfdxp@126.com
  • 基金资助:

    国家自然科学基金(No.60974022)资助

Feedback Stabilization for a Class of Distributed Parameter Switched Systems with Time Delay

DONG Xue-ping, WEN Rui, LIU Hong-liang   

  1. School of Electrical Engineering and Automation, Hefei University of Technology, Hefei 230009, China
  • Received:2010-05-20 Revised:2010-09-16 Online:2011-01-26 Published:2011-01-26

PDF

1583

被引次数

15

摘要：

 研究了一类具有时滞的分布参数切换系统反馈镇定问题. 通过构造Lyapunov 函数，利用Green 公式获得了系统状态反馈镇定的充分条件. 该条件用一组线性矩阵不等式表示，从而将分布参数切换系统状态反馈镇定问题转化为一组线性矩阵不等式的可行解问题，可借助Matlab中线性矩阵不等式工具箱求解. 该方法获得的充分条件容易检验，因而易于应用. 通过数值算例说明该方法的有效性.

关键词: 分布参数系统, 切换系统, 时滞, 线性矩阵不等式

Abstract:

 Feedback stabilization for a class of distributed parameter switched systems (DPSS) with time-delay is studied. By constructing Lyapunov functions and employing the Green formula, several sufficient conditions of state feedback stabilization for a class of DPSS with constant time delay are derived. These conditions are described using a group of linear matrix inequalities (LMI). Thus design of state feedback controllers of DPSS is converted to a group of LMI. The controllers can be solved efficiently with the Matlab LMI toolbox. In addition, the proposed method has the advantage that the criteria can easily be checked and applied. A numerical example is given to illustrate validity of the design method.

Key words: distributed parameter systems, switched systems, time delay, linear matrix inequality

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