Journal of Guangdong University of Technology ›› 2008, Vol. 25 ›› Issue (3): 47-50.

• Comprehensive Studies • Previous Articles     Next Articles

Robust Stability of Multiple Time-delay Systems with Nonlinear Perturbations

  

  1. Faculty of Applied Mathematics,Guangdong University of Technology,Guangzhou 510006,China
  • Online:2008-07-01 Published:2008-07-01

HTML

PDF (PC)

2101

Abstract: The problem with robust stabilization of uncertain multiple time-delay systems with nonlinear perturbation is proposed.Firstly,based on Lyapunov stability theory,the delay dependent stabilization criteria for the system are set.Secondly,robust controller is given by analyzing the stability of class-loop system.The sufficient condition for the existence of the state feedback controller is derived in terms of linear matrix inequalities.It is finally illustrated that the method presented can reduce...

Key words: nonlinear perturbation； state feedback； delay dependent； robust stability；

[1] 陈东彦,徐世杰.  时滞不确定系统的时滞相关稳定性[J]. 哈尔滨工业大学学报. 2001(06)

[1] Niculescu S.Robust stability and stabilization of uncertainlinear systems with state delay:Single delay case. IFAC Symposium on Robust Control Design . 1994

[2] Xi L,De S,Carlos E.Criteria for Robust Stability and Stabilization Of Uncertain Linear Systems with State delay. Automatica . 1997 [3] L ee C H,SU T H,K ung F C.O n the robustness of stab ility for uncerta in tim e-delay system s. In t J System s Sci . 1995

[4] B Xu.Delay-dependent stability for linear uncertain time-delay systems. Control Theory and Applications . 1996 [5] XU B.Stability robustness bounds for linear systems with multiple time varying delayed perturbations. International Journal of Systems Science . 1997

[6] Su T J,Huang C G.Robust stability of delay dependence for linear uncertain systems. IEEE Transactions on Automatic Control . 1992 [7] Su J H.Further results on the robust stability of linear systems with a single time delay. Systems and Control Letters . 1994

[8] Cao Y Y,Lam J.Computation of robust stability bounds for time-delay systems with nonlinear time-varying perturbations. International Journal of Systems Science . 2000 [9] P. Park.A delay-dependent stability criterion for systems with uncertain time-invariant delay. IEEE Transactions on Automatic Control . 1999

[10] Moon Y S,Park P,Kwon W H, et al.Delay-dependent robust stabilization of uncertain state-delayed systems. International Journal of Control . 2001

[11] Li X,et al.Criteria and stabilization of uncertain linear systems with state delays. Automatica . 1997

[12] Yakubovich V A.S-procedure in non-linear control theory. Vestnik Leningradskogo Universiteta Biologiia . 1971 [13] MA Xinjun,XU Bugong.Delay-dependent robust stability of uncertain systems with multiple time-delays and nonlinear perturbations. Journal of South China Uni-versity of Technology(Natural Science Edition) . 2004

[14] Su T-J,Huang C-G.Robust Stability of Delay DependenceforLinear Uncertain Systems. IEEE Trans.Automat.Con-tr . 1992
No related articles found!
Viewed
Full text


Abstract

Cited
  Shared   
  Discussed   
No Suggested Reading articles found!
Copyright © 2017 Journal of Guangdong University of Technology
Add：729 East Dongfeng RD., Guangzhou PRC. Postcode: 510090
Tel：020-37626653,020-37626139,020-37626396
Email：xbzrb@gdut.edu.cn
Supported:Beijing Magtech