On the Stabilizability of Discrete-Time Switched Linear Systems: Novel Conditions and Comparisons

被引：59

作者：

Fiacchini, Mirko ^{[1
,2
]}

Girard, Antoine ^{[3
]}

Jungers, Marc ^{[4
,5
]}

机构：

[1] Univ Grenoble Alpes, GIPSA Lab, F-38000 Grenoble, France

[2] CNRS, GIPSA Lab, F-38000 Grenoble, France

[3] Univ Paris Saclay, Univ Paris Sud, CNRS, Lab Signaux & Syst L2S,Cent Supelec, 3 Rue Joliot Curie, F-91192 Gif Sur Yvette, France

[4] Univ Lorraine, CRAN, UMR 7039, F-54516 Vandoeuvre Les Nancy, France

[5] CNRS, CRAN, UMR 7039, F-54506 Vandoeuvre Les Nancy, France

来源：

IEEE TRANSACTIONS ON AUTOMATIC CONTROL | 2016年 / 61卷 / 05期

关键词：

LMI; stabilizability; switched systems; STABILITY ANALYSIS; LYAPUNOV FUNCTIONS; STABILIZATION; CRITERIA;

D O I：

10.1109/TAC.2015.2450871

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 deal with the stabilizability property for discrete-time switched linear systems. A recent necessary and sufficient characterization of stabilizability, based on set theory, is considered as the reference for comparing the computation-oriented sufficient conditions. The classical BMI conditions based on Lyapunov-Metzler inequalities are considered and extended. Novel LMI conditions for stabilizability, derived from the geometric ones, are presented that permit to combine generality with computational affordability. For the different conditions, the geometrical interpretations are provided and the induced stabilizing switching laws are given. The relations and the implications between the stabilizability conditions are analyzed to infer and compare their conservatism and their complexity.

引用

页码：1181 / 1193

页数：13