Linear matrix inequality approach to quadratic stabilisation of switched systems

被引：68
作者：
Ji, Z [1 ]
Wang, L [1 ]
Xie, G [1 ]
Hao, F [1 ]
机构：
[1] Peking Univ, Dept Mech & Engn Sci, Ctr Syst & Control, Intelligent Control Lab, Beijing 100871, Peoples R China
来源：
IEE PROCEEDINGS-CONTROL THEORY AND APPLICATIONS | 2004年 / 151卷 / 03期
关键词：
D O I：
10.1049/ip-cta:20040306
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
Quadratic stabilisation via state and output feedback for continuous-time switched linear systems is studied with the use of a linear matrix inequality (LMI) approach. LMI-based conditions are established for both a state feedback case and an observer-based output feedback case. Under these conditions, the switched linear systems are quadratically stabilisable via either a state-based or a measurable output-based switching strategy. A sufficient and necessary LMI-based condition is also obtained for the state feedback case when there are only two subsystems in the switched linear systems. These results are extended to uncertain switched systems.
引用
收藏
页码：289 / 294
页数：6
相关论文
共 21 条
[1]   NP-hardness of some linear control design problems [J].
Blondel, V ;
Tsitsiklis, JN .
SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 1997, 35 (06) :2118-2127
[2]  
Boy S., 1994, Linear MatrixInequalities in System and Control Theory
[3]   Stability analysis and control synthesis for switched systems: A switched Lyapunov function approach [J].
Daafouz, J ;
Riedinger, P ;
Iung, C .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2002, 47 (11) :1883-1887
[4]   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
[5]  
FERON E, 1996, P468 CICS
[6]   A LINEAR MATRIX INEQUALITY APPROACH TO H-INFINITY CONTROL [J].
GAHINET, P ;
APKARIAN, P .
INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, 1994, 4 (04) :421-448
[7]  
Gahinet P., 1995, LMI Control Toolbox
[8]   Switching between stabilizing controllers [J].
Hespanha, JP ;
Morse, AS .
AUTOMATICA, 2002, 38 (11) :1905-1917
[9]   ALL CONTROLLERS FOR THE GENERAL H-INFINITY CONTROL PROBLEM - LMI EXISTENCE CONDITIONS AND STATE-SPACE FORMULAS [J].
IWASAKI, T ;
SKELTON, RE .
AUTOMATICA, 1994, 30 (08) :1307-1317
[10]   ROBUST STABILIZATION OF UNCERTAIN LINEAR-SYSTEMS - QUADRATIC STABILIZABILITY AND H INFINITY-CONTROL THEORY [J].
KHARGONEKAR, PP ;
PETERSEN, IR ;
ZHOU, KM .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1990, 35 (03) :356-361
123