Improved Robust Stability Criterion for Uncertain Discrete-time Singular Time-delay Systems

被引：0
|
作者：
Ji, Xiaofu [1 ]
Gan, Shanshan [1 ]
Wang, Kai [1 ]
机构：
[1] Jiangnan Univ, Sch Internet Things Engn, Minist Educ, Key Lab Adv Proc Control Light Ind, Wuxi 214122, Jiangsu, Peoples R China
来源：
2018 37TH CHINESE CONTROL CONFERENCE (CCC) | 2018年
关键词：
Discrete singular system; time-delay system; robust stability; Jensen inequality; linear matrix inequality; STABILIZATION;
D O I：
暂无
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 is concerned with the robust stability problem for uncertain discrete-time singular time-delay systems. By using Jensen inequality, a new sufficient condition is given to ensure a discrete-time singular time-delay to be regular, causal and stable, based on which, a sufficient robust stability criterion for the considered uncertain discrete-time singular time-delay system is given. It should be mentioned that a symmetric matrix in the designed Lyapunov-Krasovskii functional are not confined to be positive definite, which comparatively reduces the conservativeness of this criterion. The obtained results are expressed in terms of linear matrix inequalities (LMIs), which are easy to resolve using the inner point algorithm. Two numerical examples illustrate the less conservativeness of the presented results.
引用
收藏
页码：2613 / 2618
页数：6
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