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
收藏
页码：547 / 572
页数：27
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