Delay-dependent stability and stabilization of a class of linear switched time-varying delay systems

被引：0
作者：
Zhang Lixian
机构：
来源：
Journal of Systems Engineering and Electronics | 2007年 / 02期
基金：
中国国家自然科学基金;
关键词：
Linear switched systems; Time-varying delay; Delay-dependent stability; Stabilization; LMIs;
D O I：
暂无
中图分类号：
N941 [系统学、现代系统理论];
学科分类号：
071101 ;
摘要：
The stability and stabilization of a class of linear switched time-varying delay systems are investigated. A piecewise quadratic Lyapunov function (PWQLF) is constructed and is used to obtain the stability conditions based on the linear matrix inequalities (LMIs). The stabilizing controller for this class of system is then designed and the solution of the desired controller can be obtained by a cone complementary linearization algorithm. Numerical examples are provided to illustrate the less conservativeness of the new stability and the validity of the controller design procedures.
引用
收藏
页码：320 / 326
页数：7
相关论文
共 12 条
  • [1] Stability of hybrid systems: state of the art. Branicky M S. Proc. of Conference on Decision and Control . 1997
  • [2] A poly-quadratic stability based approach for linear switched systems. Daafouz J,Millerioux G,Iung C. International Journal of Control . 2002
  • [3] An LMI approach to the H_∞filter ??design for uncertain systems with distributed delays. Xu S Y,Chen T W. IEEE Tran. Circuits and Systems II . 2004
  • [4] An improved stabilization method for linear time-delay systems. Fridman E,Shaked U. IEEE Transactions on Automatic Control . 2002
  • [5] Piecewise linear quadratic optimal control. Johansson M,Rantzer A. IEEE Transactions on Automatic Control . 2000
  • [6] Multiple Lyapunov functions and other analysis tools for switched and hybrid systems. Branicky M S. IEEE Transactions on Automatic Control . 1998
  • [7] Delay-dependent robust stabilization of uncertain state-delayed systems. Moon Y S,Park P,Kwon W H,et al. International Journal of Control . 2001
  • [8] Basic problems in stability and design of switched systems. Liberzon D,Morse A S. IEEE Control Systems Magazine . 1999
  • [9] Computation of piecewise quadratic lyapunov functions for hybrid systems. Johansson M,Rantzer A. IEEE Transactions on Automatic Control . 1998
  • [10] Stability analysis and control synthesis for switched systems: a switched Lyapunov function approach. Daafouz J,Riedinger P,Iung C. IEEE Transactions on Automatic Control . 2002
12