Asymptotic stability and stabilization of discrete-time switched systems with time-varying delay

被引：7

作者：

Charqi, Mohammed ^{[1
]}

Tissir, El Houssaine ^{[1
]}

Boukili, Bensalem ^{[1
]}

机构：

[1] Sidi Mohamed Ben Abdellah Univ, Fac Sci Dhar El Mehraz, Lab Elect Signals Syst & Data Proc LESSI, Dept Phys, BP 1796, Fes, Fes Atlas, Morocco

来源：

OPTIMAL CONTROL APPLICATIONS & METHODS | 2021年 / 42卷 / 02期

关键词：

arbitrary switching signal; asymptotic stability; discrete-time switched systems; linear matrix inequality; Lyapunov-Krasovskii functional; state feedback controller; time-varying delay; H-INFINITY PERFORMANCE; EXPONENTIAL STABILITY; DEPENDENT STABILITY; ROBUST STABILITY; DESIGN;

D O I：

10.1002/oca.2684

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 article deals with the problems of stability and stabilization for a class of discrete-time switched systems with time-varying delay under arbitrary switching signal. First, sufficient conditions guaranteeing the asymptotic stability of the unforced system are developed, by using the switched Lyapunov-Krasovskii functional method. Then, based on the obtained results, a state feedback controller is designed in order to ensure the asymptotic stability of the closed-loop system. Furthermore, slack variables are introduced for more relaxation. The proposed approach is proved to have some less conservative results than some existing works. Finally, numerical examples are provided to illustrate the effectiveness and the merit of the proposed method and to compare the obtained results with some previous works in the literature.

引用

页码：486 / 502

页数：17

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