Delay-dependent Robust Control for Uncertain Singular Systems with Time-delay: A New Method

被引：2

作者：

Lan, Qixun ^{[1
]}

Niu, Huawei ^{[1
]}

机构：

[1] Henan Univ Urban Construct, Dept Math & Phys, Pingdingshan 467000, Peoples R China

来源：

2010 CHINESE CONTROL AND DECISION CONFERENCE, VOLS 1-5 | 2010年

关键词：

Singular time-delay system; Delay-dependent; Robust control; Linear matrix inequality; DESCRIPTOR SYSTEMS; STABILITY; STABILIZATION; STATE;

D O I：

10.1109/CCDC.2010.5498906

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 discusses the problem of delay-dependent robust control for uncertain singular systems with bale-delay. Firstly, based on Jensen inequality formula and Lyapunov stability theory, the sufficient condition is established for delay-dependent singular system with time-delay, which guaranteed the nominal system is regular, impulse free and stable. Secondly, based on the sufficient condition, the design method of robust state feedback controller for delay-dependent uncertain singular systems with time-delay, which guarantees that, for all admissible uncertainties, the resultant closed-loop system is regular, impulse free, and stable. All the obtained results are delay-dependent and formulated by strict LMI involving no decomposition of the system matrices. Finally, numerical examples are given to illustrate the less conservativeness and effectiveness of the method.

引用

页码：745 / 750

页数：6

共 50 条

[21] Delay-dependent robust stability and stabilization for uncertain time-delay discrete singular systems
Ma, Shuping
Cheng, Zhaolin
[J]. DYNAMICS OF CONTINUOUS DISCRETE AND IMPULSIVE SYSTEMS-SERIES A-MATHEMATICAL ANALYSIS, 2006, 13 : 278 - 283
[22] An Improved Approach to Delay-dependent Robust Stabilization for Uncertain Singular Time-delay Systems
Xin Sun1
[J]. Machine Intelligence Research, 2010, 7 (02) : 205 - 212
[23] Delay-dependent robust stabilization for uncertain time-delay systems
Wang, Tiancheng
Guo, Hongxia
Ju, Jing
[J]. 2006 9TH INTERNATIONAL CONFERENCE ON CONTROL, AUTOMATION, ROBOTICS AND VISION, VOLS 1- 5, 2006, : 210 - +
[24] Robust delay-dependent sliding mode control for uncertain time-delay systems
Xia, YQ
Jia, YM
[J]. PROCEEDINGS OF THE 2002 AMERICAN CONTROL CONFERENCE, VOLS 1-6, 2002, 1-6 : 2786 - 2791
[25] Delay-dependent robust H∞ control for uncertain stochastic time-delay systems
Yang, Rongni
Gao, Huijun
Shi, Peng
[J]. INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, 2010, 20 (16) : 1852 - 1865
[26] Delay-dependent robust stabilization of uncertain time-delay systems
Moon, YS
Park, P
Kwon, WH
[J]. SYSTEM STRUCTURE AND CONTROL 1998 (SSC'98), VOLS 1 AND 2, 1998, : 619 - 624
[27] Robust delay-dependent sliding mode control for uncertain time-delay systems
Xia, Yuanqing
Liu, Guo-Ping
Shi, Peng
Chen, Jie
Rees, David
[J]. INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, 2008, 18 (11) : 1142 - 1161
[28] A New Result on Delay-dependent Robust Stabilization for Uncertain Systems with Time-delay
Liu, Xiao-Mei
Wang, Tian-Cheng
Li, Sheng-Tao
[J]. CCDC 2009: 21ST CHINESE CONTROL AND DECISION CONFERENCE, VOLS 1-6, PROCEEDINGS, 2009, : 3810 - 3814
[29] A new design approach to delay-dependent robust H∞ control for uncertain time-delay systems
Su, NJ
Su, HY
Chu, J
[J]. ASIAN JOURNAL OF CONTROL, 2004, 6 (04) : 454 - 461
[30] Delay-dependent guaranteed cost control for a class of uncertain singular time-delay systems
Bi Wei-ping
Wu Yuan-yuan
Chen Yong-gang
[J]. PROCEEDINGS OF 2006 CHINESE CONTROL AND DECISION CONFERENCE, 2006, : 45 - 49

← 1 2 3 4 5 →