Exponential Stabilization of Switched Discrete-Time Systems with All Unstable Modes

被引：4
作者：
Li, Jiao [1 ,2 ]
Ma, Zixiao [3 ]
Fu, Jun [3 ]
机构：
[1] Dalian Nationalities Univ, Coll Sci, Dalian 116600, Peoples R China
[2] Hebei North Univ, Coll Sci, Zhangjiakou 075000, Hebei, Peoples R China
[3] Northeastern Univ, State Key Lab Synthet Automat Proc Ind, Shenyang 110819, Liaoning, Peoples R China
来源：
ASIAN JOURNAL OF CONTROL | 2018年 / 20卷 / 01期
基金：
中国国家自然科学基金;
关键词：
Switched discrete-time systems; Stability; Dwell time; Multiple Lyapunov functions; LINEAR-SYSTEMS; STABILITY; STABILIZABILITY;
D O I：
10.1002/asjc.1651
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 paper studies the exponential stabilization of switched discrete-time systems whose subsystems are unstable. A new sufficient condition for the exponential stability of the class of systems is proposed. The result obtained is based on the determination of a lower bound of the maximum dwell time by virtue of the multiple Lyapunov functions method. The key feature is that the given stability condition does not need the value of the Lyapunov function to uniformly decrease at every switching instant. An example is provided to illustrate the effectiveness of the proposed result.
引用
收藏
页码：608 / 612
页数：5
相关论文
共 23 条
[1]  
[Anonymous], 2005, COMM CONT E
[2]   Multiple Lyapunov functions and other analysis tools for switched and hybrid systems [J].
Branicky, MS .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1998, 43 (04) :475-482
[3]   Perspectives and results on the stability and stabilizability of hybrid systems [J].
DeCarlo, RA ;
Branicky, MS ;
Pettersson, S ;
Lennartson, B .
PROCEEDINGS OF THE IEEE, 2000, 88 (07) :1069-1082
[4]   Fault-Tolerant Control of a Class of Switched Nonlinear Systems With Structural Uncertainties [J].
Fu, Jun ;
Chai, Tianyou ;
Jin, Ying ;
Su, Chun-Yi .
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS II-EXPRESS BRIEFS, 2016, 63 (02) :201-205
[5]   Global finite-time stabilization of a class of switched nonlinear systems with the powers of positive odd rational numbers [J].
Fu, Jun ;
Ma, Ruicheng ;
Chai, Tianyou .
AUTOMATICA, 2015, 54 :360-373
[6]   Stability and stabilization of discrete time switched systems [J].
Geromel, JC ;
Colaneri, P .
INTERNATIONAL JOURNAL OF CONTROL, 2006, 79 (07) :719-728
[7]   Uniform stability of switched linear systems: Extensions of LaSalle's invariance principle [J].
Hespanha, JP .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2004, 49 (04) :470-482
[8]   Stabilization of a class of switched systems via designing switching laws [J].
Li, ZG ;
Wen, CY ;
Soh, YC .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2001, 46 (04) :665-670
[9]  
Liberzon D., 2003, SYS CON FDN, DOI 10.1007/978-1-4612-0017-8
[10]   Stability and Stabilizability of Switched Linear Systems: A Survey of Recent Results [J].
Lin, Hai ;
Antsaklis, Panos J. .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2009, 54 (02) :308-322
123