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

[11] Robust stability and H∞-control of uncertain systems with impulsive perturbations
Meng Hu
Lili Wang
Advances in Difference Equations, 2014
[12] Robust Stability and Control of Discrete-Time Uncertain Impulsive Systems with Time-Varying Delay
Zhang, Yu
CIRCUITS SYSTEMS AND SIGNAL PROCESSING, 2016, 35 (11) : 3882 - 3912
[13] Robust stabilization and H control of uncertain stochastic time-delay systems with nonlinear perturbation
Li, Boren
Yang, Guang
INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, 2016, 26 (15) : 3274 - 3291
[14] Robust stability of uncertain time-delay systems
Huang, YP
Zhou, KM
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2000, 45 (11) : 2169 - 2173
[15] A new design approach to delay-dependent robust H∞ control for uncertain time-delay systems
Su, NJ
Su, HY
Chu, J
ASIAN JOURNAL OF CONTROL, 2004, 6 (04) : 454 - 461
[16] Robust Stability for a Class of Uncertain Discrete Singular Systems with Time-Delay
He, Guannan
Ji, Jing
2011 CHINESE CONTROL AND DECISION CONFERENCE, VOLS 1-6, 2011, : 3121 - 3126
[17] Delay-dependent robust control for uncertain singular time-delay systems
Su, Hongye
Ji, Xiaofu
Chu, Jian
ASIAN JOURNAL OF CONTROL, 2006, 8 (02) : 180 - 189
[18] Robust stability analysis and stabilisation of uncertain impulsive positive systems with time delay
Zhu, Baolong
Ma, Jie
Zhang, Zhiping
Feng, Hui
Li, Shunli
INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE, 2018, 49 (14) : 2940 - 2956
[19] On robust H∞ filtering of uncertain Markovian jump time-delay systems
Zhang, Baoyong
Zheng, Wei Xing
Xu, Shengyuan
INTERNATIONAL JOURNAL OF ADAPTIVE CONTROL AND SIGNAL PROCESSING, 2012, 26 (02) : 138 - 157
[20] Robust H∞ Control for the Class of Uncertain Time-Delay Switched Singular Systems
He, Zhaolan
Gao, Cen
Liu, Kaiqing
2011 INTERNATIONAL CONFERENCE ON ELECTRONICS, COMMUNICATIONS AND CONTROL (ICECC), 2011, : 442 - 445

← 1 2 3 4 5 →