Stability analysis of bilinear systems under aperiodic sampled-data control

被引：63
|
作者：
Omran, Hassan [1 ]
Hetel, Laurentiu [1 ]
Richard, Jean-Pierre [1 ,2 ]
Lamnabhi-Lagarrigue, Francoise [3 ]
机构：
[1] Ecole Cent Lille, CNRS, UMR 8219, LAGIS, F-59651 Villeneuve Dascq, France
[2] INRIA, Project NON A, Lille, France
[3] SUPELEC, European Embedded Control Inst, CNRS, L2S,UMR 8506, F-91192 Gif Sur Yvette, France
来源：
AUTOMATICA | 2014年 / 50卷 / 04期
关键词：
Bilinear systems; Sampled-data systems; Local stability; Linear matrix inequalities (LMIs); LINEAR-SYSTEMS; STABILIZATION; STABILIZABILITY; DESIGN; DELAY;
D O I：
10.1016/j.automatica.2014.02.033
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 note considers the problem of local stability of bilinear systems with aperiodic sampled-data linear state feedback control. The sampling intervals are time-varying and upper bounded. It is shown that the feasibility of some linear matrix inequalities (LMIs), implies the local asymptotic stability of the sampled-data system in an ellipsoidal region containing the equilibrium. The method is based on the analysis of contractive invariant sets, and it is inspired by the dissipativity theory. The results are illustrated by means of numerical examples. (C) 2014 Elsevier Ltd. All rights reserved.
引用
收藏
页码：1288 / 1295
页数：8
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