A geometric stabilization of planar switched systems

被引：0
作者：
Chenavier, Cyrille [1 ]
Ushirobira, Rosane [1 ]
Valmorbida, Giorgio [2 ]
机构：
[1] Univ Lille, Inria, CNRS, UMR 9189 CRIStAL, F-59000 Lille, France
[2] Univ Paris Saclay, INRIA, CNRS, Cent Supelec,UMR 8506 L2S, F-91192 Gif Sur Yvette, France
来源：
IFAC PAPERSONLINE | 2020年 / 53卷 / 02期
关键词：
Linear systems; switching functions; stabilization; algebraic approaches; geometric approaches; LYAPUNOV FUNCTIONS; STABILITY ANALYSIS; OBSERVABILITY; CONTROLLABILITY; STABILIZABILITY; REACHABILITY; CRITERIA;
D O I：
10.1016/j.ifacol.2020.12.1787
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 a particular class of switching functions between two linear systems in the plan. The considered functions are defined in terms of geometric constructions. More precisely, we introduce two criteria for proving uniform stability of such functions, both criteria are based on the construction of a Lyapunov function. The first criterion is constructed in terms of an algebraic reformulation of the problem and linear matrix inequalities. The second one is purely geometric. Finally, we illustrate these methods with a numerical example. Copyright (C) 2020 The Authors.
引用
收藏
页码：6446 / 6451
页数：6
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