A Delay Decomposition Approach to Stability Analysis of Discrete-Time Systems with Time-Varying Delay

被引：3

作者：

Zhu, Xun-Lin ^{[2
]}

Yang, Guang-Hong ^{[1
]}

机构：

[1] Northeastern Univ, Coll Informat Sci & Engn, Shenyang 110004, Liaoning, Peoples R China

[2] Zhengzhou Univ Light Ind, Sch Comp Sci & Commun Engn, Zhengzhou 450002, Henan, Peoples R China

来源：

2009 AMERICAN CONTROL CONFERENCE, VOLS 1-9 | 2009年

关键词：

H-INFINITY CONTROL; NETWORKED CONTROL-SYSTEMS; ROBUST STABILITY; STABILIZATION; INEQUALITY;

D O I：

10.1109/ACC.2009.5160664

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 studies the problem of stability analysis for discrete-time delay systems. By using a delay decomposition approach and the discrete Jensen inequality, a new stability criterion is presented in terms of linear matrix inequalities (LMIs) and proved to be less conservative than the existing ones. A numerical example is given to illustrate the effectiveness and advantages of the proposed method.

引用

页码：5465 / +

页数：2

共 17 条

[1] Robust stability of networked control systems with time-varying network-induced delays [J].

Cloosterman, Marieke ;

van de Wouw, Nathan ;

Heemels, Maurice ;

Nijmeijer, Henk .

PROCEEDINGS OF THE 45TH IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-14, 2006, :4980-4985

[2] An improved stabilization method for linear time-delay systems [J].

Fridman, E ;

Shaked, U .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2002, 47 (11) :1931-1937

[3] Delay-dependent output-feedback stabilisation of discrete-time systems with time-varying state delay [J].

Gao, H ;

Lam, J ;

Wang, C ;

Wang, Y .

IEE PROCEEDINGS-CONTROL THEORY AND APPLICATIONS, 2004, 151 (06) :691-698

[4] New results on stability of discrete-time systems with time-varying state delay [J].

Gao, Huijun ;

Chen, Tongwen .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2007, 52 (02) :328-334

[5]

GU K, 2003, STABILITY TIME DELAY

[6] An integral inequality in the stability problem of time-delay systems [J].

Gu, KQ .

PROCEEDINGS OF THE 39TH IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-5, 2000, :2805-2810

[7] Stability robustness of networked control systems with respect to packet loss [J].

Hu, Shawn ;

Yan, Wei-Yong .

AUTOMATICA, 2007, 43 (07) :1243-1248

[8] Maximum allowable delay bounds of networked control systems [J].

Kim, DS ;

Lee, YS ;

Kwon, WH ;

Park, HS .

CONTROL ENGINEERING PRACTICE, 2003, 11 (11) :1301-1313

[9] Delay-dependent robust H∞ control for uncertain systems with a state-delay [J].

Lee, YS ;

Moon, YS ;

Kwon, WH ;

Park, PG .

AUTOMATICA, 2004, 40 (01) :65-72

[10] Delay-dependent robust stabilization of uncertain state-delayed systems [J].

Moon, YS ;

Park, P ;

Kwon, WH ;

Lee, YS .

INTERNATIONAL JOURNAL OF CONTROL, 2001, 74 (14) :1447-1455

← 1 2 →