Journal of South China University of Technology (Natural Science Edition) ›› 2009, Vol. 37 ›› Issue (10): 49-54.

• Electronics, Communication & Automation Technology • Previous Articles     Next Articles

Stability Analysis and Control for Uncertain Switched System with Input Delays

Wang Xin-mei  Pei Hai-long  Wei Wu   

  1. School of Automation Science and Engineering, South China University of Technology, Guangzhou 510640, Guangdong, China
  • Received:2008-11-19 Revised:2009-02-02 Online:2009-10-25 Published:2009-10-25
  • Contact: 王新梅（1979-），女，博士生，主要从事时滞系统的稳定性分析研究． E-mail:zixuanchenmeng@163．com
  • About author:王新梅（1979-），女，博士生，主要从事时滞系统的稳定性分析研究．
  • Supported by:

    国家自然科学基金重点项目（60736024,60574004）

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Abstract:

This paper deals with the robust stability and control of a class of uncertain switched systems with both constant delays and time-varying delays. Based on the reduction method, the Lyapunov stability theory and the linear matrix inequality （LMI） theory, a state feedback controller and a switch strategy are designed, and the sufficient conditions for the system stabilization are determined. Then, a simulation is performed and the effectiveness of the proposed method is verified. It is also proved that the controller based on the reduction method stabilizes more systems than the existing memoryless controllers in the case of a degenerate model.

Key words: input delay, switched system, robust stability, Lyapunov functional, linear matrix inequality, reduction method