Stability Analysis and Stabilization of Discrete Singularly Perturbed System with Time-Delay

被引：0
|
作者：
Abdeljawad, Rakia [1 ]
Bahri, Nesrine [1 ]
Ltaief, Majda [1 ]
机构：
[1] Univ Gabes, Gabes, Tunisia
来源：
SYSTEMS, AUTOMATION, AND CONTROL | 2019年 / 9卷
关键词：
Discrete Singularly Perturbed System; Time-delay; Stability Bound; Stabilization; State feedback; EXPONENTIAL STABILITY; BOUNDS;
D O I：
10.1515/9783110591729-016
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
In this paper, the problems of asymptotic stability and stabilization for linear discrete singularly perturbed systems (SPS) with time delay are investigated. First, using an appropriate Lyapunov functional, new Linear Matrix Inequalities (LMIs) are proposed to analyse the asymptotic stability of discrete SPS with time delay. Delay-dependent stability criterion and delay-independent stability criterion are treated. Afterward, a state feedback stabilization controller design based on an adequate Lyapunov functional is proposed. Sufficient conditions formulated in terme of LMIs, are given to guarantee the system closed loop stability. A set of numericals examples is given to illustrate the effectiveness of the proposed methods.
引用
收藏
页码：281 / 301
页数：21
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