Novel delay-dependent robust H∞ control of uncertain systems with distributed time-varying delays

被引:40
作者
Ali, M. Syed [1 ]
Saravanakumar, R. [1 ]
机构
[1] Thiruvalluvar Univ, Dept Math, Vellore 632115, Tamil Nadu, India
关键词
Distributed delay; Linear matrix inequality; Lyapunov method; Robust H-infinity control; Stability analysis; Time-varying delay; FUZZY-SYSTEMS; NEUTRAL SYSTEMS; STABILITY-CRITERION; DYNAMIC-SYSTEMS; STATE; STABILIZATION; DISCRETE;
D O I
10.1016/j.amc.2014.10.052
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
This paper investigates the problem of delay dependent robust H-infinity control for a class of uncertain systems with distributed time-varying delays. The aim is to design a delay-dependent robust H-infinity control which ensures robust asymptotic stability of the system. The Delay derivative dependent robust H-infinity control criteria are obtained in terms of Linear Matrix Inequalities (LMIs). Numerical examples are given to illustrate the effectiveness of the proposed method. The results are also compared with the existing results to show the conservativeness. (C) 2014 Elsevier Inc. All rights reserved.
引用
收藏
页码:510 / 520
页数:11
相关论文
共 40 条
[1]   Exponential stability of time-delay systems with nonlinear uncertainties [J].
Ali, M. Syed ;
Balasubramaniam, P. .
INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, 2010, 87 (06) :1363-1373
[2]  
[Anonymous], 1994, LINEAR MATRIX INEQUA
[3]  
[Anonymous], CHIN PHYS B
[4]   Robust H∞ control of Takagi-Sugeno fuzzy systems with state and input time delays [J].
Chen, Bing ;
Liu, Xiaoping ;
Lin, Chong ;
Liu, Kefu .
FUZZY SETS AND SYSTEMS, 2009, 160 (04) :403-422
[5]   Stability analysis for uncertain neutral systems with discrete and distributed delays [J].
Chen, Huabin ;
Zhang, Yong ;
Zhao, Yang .
APPLIED MATHEMATICS AND COMPUTATION, 2012, 218 (23) :11351-11361
[6]   Delay-dependent robust H∞ control of uncertain neutral systems with state and input delays:: LMI optimization approach [J].
Chen, Jenq-Der .
CHAOS SOLITONS & FRACTALS, 2007, 33 (02) :595-606
[7]   A descriptor system approach to H∞ control of linear time-delay systems [J].
Fridman, E ;
Shaked, U .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2002, 47 (02) :253-270
[8]  
Gahinet P., 1995, LMI Control Toolbox
[9]   Delay-dependent Robust H∞ and L2-L∞ filtering for a class of uncertain nonlinear time-delay systems [J].
Gao, HJ ;
Wang, CH .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2003, 48 (09) :1661-1666
[10]  
GU K., 2003, CONTROL ENGN SER BIR