中文

Journal of Applied Sciences ›› 2011, Vol. 29 ›› Issue (3): 316-324.doi: 10.3969/j.issn.0255-8297.2011.03.016

• Control and System • Previous Articles     Next Articles

Robust Quadratic Stabilization H1 Control for a Class of Linear Switched Systems with Multiple Time-Varying Delays in State
and Input

SUN Wen-an1, ZHANG Yang1, PEI Bing-nan1, ZHANG Qiang2   

  1. 1. College of Information Engineering, Dalian University, Dalian 116622, China
    2. Key Laboratory of Advanced Design and Intelligent Computing, Dalian University, Ministry of Education, Dalian 116622, China
  • Received:2010-11-04 Revised:2011-01-04 Online:2011-05-26 Published:2011-05-30
  • Contact: 孙文安，博士，教授，研究方向：切换系统、网络控制系统与鲁棒控制等，E-mail: sunwenan@126.com
  • About author:孙文安，博士，教授，研究方向：切换系统、网络控制系统与鲁棒控制等，E-mail: sunwenan@126.com

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Abstract:

This paper addresses the problem of robust quadratic stabilization H∞control for a class of linear switched systems with uncertain multiple time-varying delays in state and input based on LMI and H∞theory. Based on multiple Lyapunov function techniques and by constructing linear matrix inequalities, several sufficient conditions for the problem to be solvable are derived by using a state-based switching law. Meanwhile,
robust H∞controllers for each subsystem and switching law are designed. A numerical example shows effectiveness of the method.

Key words: time-delay switched systems, quadratic stabilization, H1 control, multiple Lyapunov function, linear matrix inequality (LMI)

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