Stabilizer design of planar switched linear systems

被引:11
作者
Hu, Qingxi [1 ]
Cheng, Daizhan [2 ]
机构
[1] Hainan Normal Univ, Dept Math, Haikou 571158, Hainan, Peoples R China
[2] Chinese Acad Sci, Inst Syst Sci, Beijing 100080, Peoples R China
关键词
switched system; hybrid system; switching law; controllable eigenvalue; eigenvector; stabilization;
D O I
10.1016/j.sysconle.2008.04.003
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 considers the stabilization of planar switched linear control systems. First, a structure property of not completely controllable pair (A. b) is revealed. Based on it, a simply verifiable, necessary and sufficient condition for the planar switched linear control system to be feedback stabilizable, is presented under the assumption that the switching law is designable. The proof provides a design technique for stabilizer and switching law. (c) 2008 Elsevier B.V. All rights reserved.
引用
收藏
页码:876 / 879
页数:4
相关论文
共 22 条
[1]   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
[2]   Controllability of switched bilinear systems [J].
Cheng, DZ .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2005, 50 (04) :511-515
[3]   Stabilization of planar switched systems [J].
Cheng, DZ .
SYSTEMS & CONTROL LETTERS, 2004, 51 (02) :79-88
[4]   A converse Lyapunov theorem for a class of dynamical systems which undergo switching [J].
Dayawansa, WP ;
Martin, CF .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1999, 44 (04) :751-760
[5]  
Feron E., 1996, CICSP468 MIT
[6]  
Ji ZJ, 2003, 42ND IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-6, PROCEEDINGS, P1657
[7]  
Lancaster P., 1985, THEORY MATRICES APPL
[8]   Stability of switched systems: a Lie-algebraic condition [J].
Liberzon, D ;
Hespanha, JP ;
Morse, AS .
SYSTEMS & CONTROL LETTERS, 1999, 37 (03) :117-122
[9]   Basic problems in stability and design of switched systems [J].
Liberzon, D ;
Morse, AS .
IEEE CONTROL SYSTEMS MAGAZINE, 1999, 19 (05) :59-70
[10]  
Meyer C. D., 2000, Matrix Analysis and Applied Linear Algebra, V71