Delay-dependent stabilization of singular Markovian jump systems with state delay

被引：21

作者：

Wu Z. ^{[1
]}

Su H. ^{[1
]}

Chu J. ^{[1
]}

机构：

[1] National Laboratory of Industrial Control Technology, Institute of Cyber-Systems and Control, Zhejiang University

来源：

Journal of Control Theory and Applications | 2009年 / 7卷 / 3期

基金：

中国国家自然科学基金;

关键词：

Delay-dependent; Linear matrix inequality (LMI); Markovian jumping parameters; Singular time-delay systems; Stochastic stability;

D O I：

10.1007/s11768-009-8145-8

中图分类号：

学科分类号：

摘要：

This paper deals with the delay-dependent stabilization problem for singular systems with Markovian jump parameters and time delays. A delay-dependent condition is established for the considered system to be regular, impulse free and stochastically stable. Based on the condition, a design algorithm of the desired state feedback controller which guarantees the resultant closed-loop system to be regular, impulse free and stochastically stable is proposed in terms of a set of strict linear matrix inequalities (LMIs). Numerical examples show the effectiveness of the proposed methods. © South China University of Technology, Academy of Mathematics and Systems Science, Chinese Academy of Sciences and Springer-Verlag GmbH 2009.

引用

页码：231 / 236

页数：5

共 50 条

[1] Delay-dependent stabilization of singular Markovian jump systems with state delay
Zhengguang WU
[J]. Control Theory and Technology, 2009, 7 (03) : 231 - 236
[2] Delay-dependent Stabilization of Singular Markovian Jump Systems with Distributed Delays
Gu, Zhoutong
Zhang, Baoyong
Yan, Yingjing
Zhang, Yijun
[J]. 45TH ANNUAL CONFERENCE OF THE IEEE INDUSTRIAL ELECTRONICS SOCIETY (IECON 2019), 2019, : 6521 - 6526
[3] Delay-dependent H∞ control for singular Markovian jump systems with time delay
Wang, Junru
Wang, Huijiao
Xue, Anke
Lu, Renquan
[J]. NONLINEAR ANALYSIS-HYBRID SYSTEMS, 2013, 8 : 1 - 12
[4] Delay-dependent H∞ control for singular Markovian jump systems with time delay
Wu, Zhengguang
Su, Hongye
Chu, Jian
[J]. OPTIMAL CONTROL APPLICATIONS & METHODS, 2009, 30 (05): : 443 - 461
[5] Delay-dependent stability and stabilization of uncertain discrete-time Markovian jump singular systems with time delay
Ma, Shuping
Liu, Xinzhi
Zhang, Chenghui
[J]. ANZIAM JOURNAL, 2007, 49 : 111 - 129
[6] Delay-dependent H∞ filtering for singular Markovian jump time-delay systems
Wu, Zhengguang
Su, Hongye
Chu, Jian
[J]. SIGNAL PROCESSING, 2010, 90 (06) : 1815 - 1824
[7] Delay-dependent Robust Stability for Markovian Jump Singular Systems with Disturbances
Cui, Wen-xia
Fang, Jian-an
Zhang, Wen-bing
[J]. PROCEEDINGS OF THE 10TH WORLD CONGRESS ON INTELLIGENT CONTROL AND AUTOMATION (WCICA 2012), 2012, : 1340 - 1343
[8] Delay-dependent stability and stabilization for uncertain discrete Markovian jump singular systems with mode-dependent time-delay
Ma Shuping
Zhang Chenghui
[J]. PROCEEDINGS OF THE 26TH CHINESE CONTROL CONFERENCE, VOL 2, 2007, : 766 - +
[9] Delay-dependent memory state-feedback H∞ control for singular Markovian jump time-delay systems
Gao Huanli
Liu Fuchun
[J]. PROCEEDINGS OF THE 31ST CHINESE CONTROL CONFERENCE, 2012, : 76 - 81
[10] Delay-Dependent Stabilization for Delayed Markovian Jump Systems Subject to Input Saturation
Zhang Baoyong
Xu Shengyuan
Zhang Yashun
Chu Yuming
[J]. PROCEEDINGS OF THE 29TH CHINESE CONTROL CONFERENCE, 2010, : 5981 - 5986

← 1 2 3 4 5 →