Improved robust stabilization method for linear systems with interval time-varying input delays by using Wirtinger inequality

被引：41
作者：
Liu, Yuzhi [1 ,2 ]
Li, Muguo [2 ]
机构：
[1] Dalian Univ Technol, Fac Elect Informat & Elect Engn, Dalian 116023, Peoples R China
[2] Dalian Univ Technol, State Key Lab Coastal & Offshore Engn, Dalian 116023, Peoples R China
来源：
ISA TRANSACTIONS | 2015年 / 56卷
关键词：
Time-varying delay; Wirtinger inequality; Delay-partitioning approach; Lyapunov-Krasovskii functional (LKF); Linear matrix inequality (LMI); UNCERTAIN SYSTEMS; STABILITY-CRITERIA; DEPENDENT STABILITY; DECOMPOSITION APPROACH; OUTPUT-FEEDBACK;
D O I：
10.1016/j.isatra.2014.12.008
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
This paper investigates the robust stabilization problem for uncertain linear systems with interval time-varying delays. By constructing novel Lyapunov-Krasovskii functionals and developing delay-partitioning approaches, some delay-dependent stability criteria are derived based on an improved Wirtinger's inequality and the reciprocally convex method. The proposed methods have improved the stability conditions without increasing much computational complexity. A state feedback controller design approach is also presented based on the proposed criteria. Numerical examples are finally given to illustrate the effectiveness of the proposed method. (C) 2015 ISA. Published by Elsevier Ltd. All rights reserved.
引用
收藏
页码：111 / 122
页数：12
相关论文
共 31 条
[1]   On improved robust stabilization of uncertain systems with unknown input delay [J].
Chen, WH ;
Zheng, WX .
AUTOMATICA, 2006, 42 (06) :1067-1072
[2]   Stabilization for state/input delay systems via static and integral output feedback [J].
Du, Baozhu ;
Lam, James ;
Shu, Zhan .
AUTOMATICA, 2010, 46 (12) :2000-2007
[3]   A cone complementarity linearization algorithm for static output-feedback and related problems [J].
ElGhaoui, L ;
Oustry, F ;
AitRami, M .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1997, 42 (08) :1171-1176
[4]   New conditions for delay-derivative-dependent stability [J].
Fridman, Emilia ;
Shaked, Uri ;
Liu, Kun .
AUTOMATICA, 2009, 45 (11) :2723-2727
[5]   Asymptotic and exponential stability of uncertain system with interval delay [J].
Guo, Liangdong ;
Gu, Hong ;
Xing, Jun ;
He, Xiqin .
APPLIED MATHEMATICS AND COMPUTATION, 2012, 218 (19) :9997-10006
[6]   Absolute stability of time-delay systems with sector-bounded nonlinearity [J].
Han, QL .
AUTOMATICA, 2005, 41 (12) :2171-2176
[7]   Improved stabilisation method for networked control systems [J].
He, Y. ;
Liu, G. P. ;
Rees, D. ;
Wu, M. .
IET CONTROL THEORY AND APPLICATIONS, 2007, 1 (06) :1580-1585
[8]   Further improvement of free-weighting matrices technique for systems with time-varying delay [J].
He, Yong ;
Wang, Qing-Guo ;
Xie, Lihua ;
Lin, Chong .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2007, 52 (02) :293-299
[9]  
HENRIKSSON D, 2006, P 2 IFAC C AN DES HY
[10]   New stability criteria for linear systems with interval time-varying delay [J].
Jiang, Xiefu ;
Han, Qing-Long .
AUTOMATICA, 2008, 44 (10) :2680-2685
1234