Robust Control for Uncertain Switched Systems with Interval Nondifferentiable Time-Varying Delays

被引：0
作者：
La-inchua, T. [1 ]
Niamsup, P. [1 ,2 ]
机构：
[1] Chiang Mai Univ, Dept Math, Chiang Mai 50200, Thailand
[2] CHE, Ctr Excellence Math, Bangkok 10400, Thailand
来源：
JOURNAL OF APPLIED MATHEMATICS | 2012年
关键词：
STABILITY; STABILIZATION; CRITERIA;
D O I：
10.1155/2012/718618
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper addresses the conditions for robust stabilization of a class of uncertain switched systems with delay. The system to be considered is autonomous and the state delay is time-varying. Using Lyapunov functional approach, restriction on the derivative of time-delay function is not required to design switching rule for the robust stabilization of switched systems with time-varying delays. The delay-dependent stability conditions are presented in terms of the solution of LMIs which can be solved by various available algorithms. A numerical example is given to illustrate the effectiveness of theoretical results.
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页数：24
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共 22 条
[1]   Special issue on hybrid systems: Theory and applications - A brief introduction to the theory and applications of hybrid systems [J].
Antsaklis, PJ .
PROCEEDINGS OF THE IEEE, 2000, 88 (07) :879-887
[2]   SWITCHING SYSTEMS IN THE 21ST-CENTURY [J].
BENNETT, RL ;
POLICELLO, GE .
IEEE COMMUNICATIONS MAGAZINE, 1993, 31 (03) :24-28
[3]   Delay-dependent exponential stabilization for uncertain linear systems with interval non-differentiable time-varying delays [J].
Botmart, T. ;
Niamsup, P. ;
Phat, V. N. .
APPLIED MATHEMATICS AND COMPUTATION, 2011, 217 (21) :8236-8247
[4]  
Boyd S., 1994, LINEAR MATRIX INEQUA
[5]   Delay-range-dependent stability for systems with time-varying delay [J].
He, Yong ;
Wang, Qing-Guo ;
Lin, Chong ;
Wu, Min .
AUTOMATICA, 2007, 43 (02) :371-376
[6]  
Hien LV, 2011, J NONLINEAR CONVEX A, V12, P541
[7]   Stability and stabilization of switched linear dynamic systems with time delay and uncertainties [J].
Hien, L. V. ;
Ha, Q. P. ;
Phat, V. N. .
APPLIED MATHEMATICS AND COMPUTATION, 2009, 210 (01) :223-231
[8]   Exponential stabilization for a class of hybrid systems with mixed delays in state and control [J].
Hien, Le V. ;
Phat, Vu N. .
NONLINEAR ANALYSIS-HYBRID SYSTEMS, 2009, 3 (03) :259-265
[9]   Exponential stability analysis for uncertain switched neutral systems with interval-time-varying state delay [J].
Lien, Chang-Hua ;
Yu, Ker-Wei ;
Chung, Yeong-Jay ;
Lin, Yen-Feng ;
Chung, Long-Yeu ;
Chen, Jenq-Der .
NONLINEAR ANALYSIS-HYBRID SYSTEMS, 2009, 3 (03) :334-342
[10]   Delay-dependent robust control for uncertain switched systems with time-delay [J].
Liu, Jun ;
Liu, Xinzhi ;
Xie, Wei-Chau .
NONLINEAR ANALYSIS-HYBRID SYSTEMS, 2008, 2 (01) :81-95
123