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

被引：58
|
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
收藏
页码：1181 / 1193
页数：13
相关论文
共 50 条
  • [21] Conditions for stabilizability of linear switched systems
    Vu Trieu Minh
    Mokhtar Awang
    Setyamartana Parman
    International Journal of Control, Automation and Systems, 2011, 9 : 139 - 144
  • [22] ON ASYMPTOTIC STABILIZABILITY OF DISCRETE-TIME LINEAR SYSTEMS WITH DELAYED INPUT
    Lin, Zongli
    COMMUNICATIONS IN INFORMATION AND SYSTEMS, 2007, 7 (03) : 227 - 264
  • [23] On asymptotic stabilizability of discrete-time linear systems with delayed input
    Lin, Zongli
    2007 IEEE INTERNATIONAL CONFERENCE ON CONTROL AND AUTOMATION, VOLS 1-7, 2007, : 2924 - 2929
  • [24] Stabilization of Discrete-Time Switched Linear Systems
    Zhu Yanli
    Sun Yuangong
    PROCEEDINGS OF THE 31ST CHINESE CONTROL CONFERENCE, 2012, : 1488 - 1492
  • [25] On the Reachability of Discrete-Time Switched Linear Systems
    Chao Liu
    Zheng Yang
    Dihua Sun
    Xiaoyang Liu
    Wanping Liu
    Journal of Dynamical and Control Systems, 2017, 23 : 815 - 823
  • [26] Identifiability of Discrete-Time Linear Switched Systems
    Petreczky, Mihaly
    Bako, Laurent
    van Schuppen, Jan H.
    HSSC 10: PROCEEDINGS OF THE 13TH ACM INTERNATIONAL CONFERENCE ON HYBRID SYSTEMS: COMPUTATION AND CONTROL, 2010, : 141 - 150
  • [27] Flatness of Switched Linear Discrete-Time Systems
    Millerioux, Gilles
    Daafouz, Jamal
    IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2009, 54 (03) : 615 - 619
  • [28] On the Reachability of Discrete-Time Switched Linear Systems
    Liu, Chao
    Yang, Zheng
    Sun, Dihua
    Liu, Xiaoyang
    Liu, Wanping
    JOURNAL OF DYNAMICAL AND CONTROL SYSTEMS, 2017, 23 (04) : 815 - 823
  • [29] Necessary and sufficient condition for stabilizability of discrete-time linear switched systems: A set-theory approach
    Fiacchini, Mirko
    Jungers, Marc
    AUTOMATICA, 2014, 50 (01) : 75 - 83
  • [30] Novel Practical Stability Conditions for Discrete-Time Switched Affine Systems
    Egidio, Lucas N.
    Deaecto, Grace S.
    IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2019, 64 (11) : 4705 - 4710
12345