期刊文献+

Delay-dependent stability and stabilization of a class of linear switched time-varying delay systems 被引量:3

Delay-dependent stability and stabilization of a class of linear switched time-varying delay systems
下载PDF
导出
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. 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.
出处 《Journal of Systems Engineering and Electronics》 SCIE EI CSCD 2007年第2期320-326,共7页 系统工程与电子技术(英文版)
基金 the National Natural Science Foundation of China (69874008).
关键词 Linear switched systems Time-varying delay Delay-dependent stability STABILIZATION LMIs. Linear switched systems, Time-varying delay, Delay-dependent stability, Stabilization, LMIs.
  • 相关文献

参考文献14

  • 1Liberzon D,Morse A S.Basic problems in stability and design of switched systems.IEEE Control Systems Magazine,1999,19(5):59-70.
  • 2Mignone D,Ferrari-Trecate G,Morari G,et al.Stability and stabilization of piecewise affine and hybrid systems:an LMI approach.Proc.of Conference on Decision and Control,Sydney,2000:504-509.
  • 3Daafouz J,Millerioux G,lung C.A poly-quadratic stability based approach for linear switched systems.International Journal of Control,2002,75(16):1302-1310.
  • 4Daafouz J,Riedinger P,lung C.Stability analysis and control synthesis for switched systems:a switched Lyapunov function approach.IEEE Trans.Automatic.Control,2002,47(11):1883-1887.
  • 5Johansson M,Rantzer A.Computation of piecewise quadratic lyapunov functions for hybrid systems.IEEE Trans.Automatic Control,1998,43(4):555-559.
  • 6Johansson M,Rantzer A.Piecewise linear quadratic optimal control.IEEE Trans.Automatic Control,2000,45(4):629-637.
  • 7Branicky M S.Stability of hybrid systems:state of the art.Proc.of Conference on Decision and Control,1997,1:120-121.
  • 8Branicky M S.Multiple Lyapunov functions and other analysis tools for switched and hybrid systems.IEEE Trans.Automatic Control,1998,43(4):475-482.
  • 9Gao H J,Lam J,Wang C H,et al.Hoc,model reduction for discrete time-delay systems:delay independent and dependent approaches.International Journal of Control,2004,77(10):321-335.
  • 10Xu S Y,Chen T W.An LMI approach to the H∞ filter design for uncertain systems with distributed delays.IEEE Thin.Circuits and Systems II,2004,51(4):195-201.

同被引文献10

引证文献3

二级引证文献1

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部