A new looped-functional for stability analysis of sampled-data systems

被引：300
|
作者：
Zeng, Hong -Bing [1 ,4 ]
Teo, Kok Lay [2 ]
He, Yong [3 ]
机构：
[1] Hunan Univ Technol, Sch Elect & Informat Engn, Zhuzhou 412007, Peoples R China
[2] Curtin Univ, Dept Math & Stat, Perth, WA 6102, Australia
[3] China Univ Geosci, Sch Automat, Wuhan 430074, Peoples R China
[4] Key Lab Elect Dr Control & Intelligent Equipment, Zhuzhou 412007, Peoples R China
来源：
AUTOMATICA | 2017年 / 82卷
基金：
中国国家自然科学基金;
关键词：
Sampled-data systems; Stability; Lyapunov functional; Linear matrix inequality; INEQUALITY;
D O I：
10.1016/j.automatica.2017.04.051
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, a new two-sided looped-functional is introduced for stability analysis of sampled-data systems. The functional fully utilizes the information on both the intervals x(t) to x(t(k)) and x(t) to x(t(k+1)). Based on the two-sided functional, an improved stability condition is derived in the form of linear matrix inequality (LMI). Numerical examples show that the result computed by the presented condition approximates nearly the theoretical bound (bound obtained by eigenvalue analysis) and outperforms substantially others in the existing literature. (C) 2017 Elsevier Ltd. All rights reserved.
引用
收藏
页码：328 / 331
页数：4
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