Stabilization of switched affine systems with disturbed state-dependent switching laws

被引：30
作者：
Kader, Zohra [1 ,3 ]
Fiter, Christophe [1 ]
Hetel, Laurentiu [2 ]
Belkoura, Lotfi [1 ,3 ]
机构：
[1] Univ Lille 1 Sci & Technol, CRIStAL, CNRS, UMR 9189, Villeneuve Dascq, France
[2] Ecole Cent Lille, CRIStAL, CNRS, UMR 9189, Villeneuve Dascq, France
[3] INRIA Lille Nord Europe, NonA, Villeneuve Dascq, France
来源：
INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL | 2018年 / 28卷 / 02期
关键词：
bilinear systems; R epsilon-stability; robust stabilization; switched affine systems; switching control; BILINEAR-SYSTEMS; STABILITY; DESIGN;
D O I：
10.1002/rnc.3887
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, we investigate the stabilization problem for a class of switched affine systems with a state-dependent switching law. Since the states measurements are in general subject to perturbations and noises, we propose a robust switching-law design method. Qualitative conditions for the stability of the closed-loop switched system are given. Stability conditions are also formulated as Linear Matrix Inequalities (LMIs) to allow numerical implementations. Results are illustrated by numerical examples to show the efficiency of the method and its limits.
引用
收藏
页码：582 / 595
页数：14
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