Robust stability and H∞-control of uncertain impulsive systems with time-delay

被引：87

作者：

Chen, Wu-Hua ^{[2
]}

Zheng, Wei Xing ^{[1
]}

机构：

[1] Univ Western Sydney, Sch Comp & Math, Penrith, NSW 1797, Australia

[2] Guangxi Univ, Coll Math & Infromat Sci, Nanning 530004, Guangxi, Peoples R China

来源：

AUTOMATICA | 2009年 / 45卷 / 01期

关键词：

Uncertain impulsive systems; Time-delay; Robust stability; Robust stabilization; H-infinity-control; Linear matrix inequality (LMI); EXPONENTIAL STABILITY; CHAOTIC SYSTEMS; SYNCHRONIZATION; STABILIZATION; DESIGN;

D O I：

10.1016/j.automatica.2008.05.020

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 problems of robust stability, stabilization and H-infinity-control for uncertain impulsive systems with time-delay. The parametric uncertainties are assumed to be time-varying and norm-bounded. Three classes of impulsive systems with time-delay are considered: the systems with stable/stabilizable continuous dynamics and unstable/unstabilizable discrete dynamics, the systems with unstable/unstabilizable continuous dynamics and stable/stabilizable discrete dynamics, and the systems where both the continuous-time dynamics and the discrete-time dynamics are stable/stabilizable. For each class of system, by using the Lyapunov function and Razumikhin-type techniques, sufficient conditions for robust stability, stabilization and H-infinity-control are developed in terms of linear matrix inequalities. Numerical examples are given which illustrate the applicability of the theoretical results. (C) 2008 Elsevier Ltd. All rights reserved.

引用

页码：109 / 117

页数：9

共 50 条

[21] Criteria for Fuzzy Robust Stability of Uncertain Systems with Time Delay
He Guannan
Ji Jing
[J]. 2011 30TH CHINESE CONTROL CONFERENCE (CCC), 2011, : 2946 - 2951
[22] Robust H∞ Control for Uncertain Linear Time-delay Singularly Perturbed Systems
Ji Xiaofu
Gao Jinfeng
Chen Xiaoping
[J]. 2011 30TH CHINESE CONTROL CONFERENCE (CCC), 2011, : 2246 - 2251
[23] Robust H∞ control of uncertain impulsive switched systems
Li, Chunyang
Jiang, Junchao
Lian, Jie
[J]. ASIAN JOURNAL OF CONTROL, 2022, 24 (01) : 185 - 194
[24] Robust Stability of Discrete Bilinear Uncertain Time-Delay Systems
Hsien, Tsung-Lieh
Lee, Chien-Hua
[J]. CIRCUITS SYSTEMS AND SIGNAL PROCESSING, 2011, 30 (06) : 1417 - 1443
[25] Delay-dependent robust H∞ control for uncertain time-delay systems
Su, NJ
Su, HY
Chu, J
[J]. IEE PROCEEDINGS-CONTROL THEORY AND APPLICATIONS, 2003, 150 (05): : 489 - 492
[26] Robust Stability of Discrete Bilinear Uncertain Time-Delay Systems
Tsung-Lieh Hsien
Chien-Hua Lee
[J]. Circuits, Systems, and Signal Processing, 2011, 30 : 1417 - 1443
[27] Robust Stability Analysis for Uncertain Time-Delay System
Xin, Wenfang
Duan, Yaoyong
Luo, Yi
Ji, Qingmei
[J]. PROCEEDINGS OF THE 2015 CHINESE INTELLIGENT SYSTEMS CONFERENCE, VOL 1, 2016, 359 : 293 - 301
[28] Delay-Dependent Robust H az Filtering for Uncertain Neutral Stochastic Time-Delay Systems
Song, Bo
Xu, Shengyuan
Zou, Yun
[J]. CIRCUITS SYSTEMS AND SIGNAL PROCESSING, 2009, 28 (02) : 241 - 256
[29] Stability analysis on uncertain stochastic impulsive systems with time-delay
Zhang, Hao
Guan, Zhi-Hong
[J]. PHYSICS LETTERS A, 2008, 372 (39) : 6053 - 6059
[30] Delay-dependent robust H∞ control for uncertain discrete time-delay fuzzy systems
Gong Cheng
Su Baoku
[J]. JOURNAL OF SYSTEMS ENGINEERING AND ELECTRONICS, 2009, 20 (02) : 354 - 362

← 1 2 3 4 5 →