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

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