Stability analysis for a class of uncertain nonlinear hybrid systems

被引:0
作者
Lu Jianning [1 ]
Zhao Guangzhou [1 ]
机构
[1] Zhejiang Univ, Dept Syst Sci & Engn, Hangzhou 310027, Peoples R China
来源
PROCEEDINGS OF THE 24TH CHINESE CONTROL CONFERENCE, VOLS 1 AND 2 | 2005年
关键词
hybrid systems; nonlinear; linear matrix inequalities; stability;
D O I
暂无
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
With the linear matrix inequalities (LMI) method, this paper investigates the stability of a class of hybrid systems with uncertain nonlinear subsystems. Based on single Lyapunov function, the sufficient conditions of this system for global asymptotic stability are proposed. Furthermore, using the method of piecewise quadratic Lyapunov function, the sufficient conditions of this system for local asymptotic stability are derived. By applying the result, the sufficient conditions of stability can be formulated as a convex problem in terms of linear matrix inequalities, which can be solved by relevant software.
引用
收藏
页码:736 / 739
页数:4
相关论文
共 9 条
[1]  
Boy S., 1994, Linear MatrixInequalities in System and Control Theory
[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]   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]  
FERRARITRECATE G, AM CONTR C P 2001, V1, P200
[6]   Basic problems in stability and design of switched systems [J].
Liberzon, D ;
Morse, AS .
IEEE CONTROL SYSTEMS MAGAZINE, 1999, 19 (05) :59-70
[7]  
Mignone D, 2000, IEEE DECIS CONTR P, P504, DOI 10.1109/CDC.2000.912814
[8]  
Pettersson S, 1997, P AMER CONTR CONF, P1714, DOI 10.1109/ACC.1997.610877
[9]  
PETTERSSON S, 2003, DECISION CONTROL, V5, P5283