Improved robust stability and stabilisation conditions for discrete-time linear systems with time-varying delay

被引：6

作者：

Venkatesh, M. ^{[1
]}

Patra, Sourav ^{[1
]}

Ray, Goshaidas ^{[2
]}

机构：

[1] Indian Inst Technol Kharagpur, Dept Elect Engn, Kharagpur 721302, W Bengal, India

[2] Heritage Inst Technol, Chowbaga Rd, Kolkata, W Bengal, India

来源：

INTERNATIONAL JOURNAL OF AUTOMATION AND CONTROL | 2022年 / 16卷 / 05期

关键词：

time-delay systems; robust stability; stabilisation; summation inequality; Lyapunov-Krasovskii functional; extended reciprocally convex inequality; linear matrix inequality; OUTPUT-FEEDBACK CONTROL; INEQUALITY; CRITERIA;

D O I：

10.1504/IJAAC.2022.10048163

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 presents robust stability and stabilisation problems of linear discrete-time systems with interval time-varying state-delay. By invoking a new Lyapunov-Krasovskii functional, a less conservative delay-dependent robust stability criterion is derived in terms of linear matrix inequalities (LMIs) using the summation inequality in combination with the extended reciprocally convex inequality. Then, a delay-dependent stabilisation problem of discrete-time systems is explored by designing a state feedback controller. The superiority of the proposed result over existing ones is demonstrated through numerical examples.

引用

页码：547 / 572

页数：27

共 33 条

[1]

Chang H., 2019, INT J AUTOMATION CON

[2] Improved stability criterion and output feedback control for discrete time-delay systems [J].

Chen, Jian ;

Lin, Chong ;

Chen, Bing ;

Wang, Qing-Guo .

APPLIED MATHEMATICAL MODELLING, 2017, 52 :82-93

[3] Novel Summation Inequalities and Their Applications to Stability Analysis for Systems With Time-Varying Delay [J].

Chen, Jun ;

Xu, Shengyuan ;

Jia, Xianglei ;

Zhang, Baoyong .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2017, 62 (05) :2470-2475

[4] Summation inequality and its application to stability analysis for time-delay systems [J].

Chen, Jun ;

Lu, Junwei ;

Xu, Shengyuan .

IET CONTROL THEORY AND APPLICATIONS, 2016, 10 (04) :391-395

[5]

Dey R., 2017, STABILITY STABILIZAT

[6] Optimal partitioning method for stability analysis of continuous/discrete delay systems [J].

Feng, Zhiguang ;

Lam, James ;

Yang, Guang-Hong .

INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, 2015, 25 (04) :559-574

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

Fridman, E ;

Shaked, U .

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

[8] New conditions for delay-derivative-dependent stability [J].

Fridman, Emilia ;

Shaked, Uri ;

Liu, Kun .

AUTOMATICA, 2009, 45 (11) :2723-2727

[9] Output Feedback Stabilization for a Discrete-Time System With a Time-Varying Delay [J].

He, Yong ;

Wu, Min ;

Liu, Guo-Ping ;

She, Jin-Hua .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2008, 53 (10) :2372-2377

[10] Stability criteria for linear discrete-time systems with interval-like time-varying delay [J].

Jiang, XF ;

Han, QL ;

Yu, X .

ACC: PROCEEDINGS OF THE 2005 AMERICAN CONTROL CONFERENCE, VOLS 1-7, 2005, :2817-2822

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