Necessary and sufficient conditions for regional stabilisability of generic switched linear systems with a pair of planar subsystems

被引:16
作者
Huang, Z. H. [1 ]
Xiang, C. [1 ]
Lin, H. [1 ]
Lee, T. H. [1 ]
机构
[1] Natl Univ Singapore, Dept Elect & Comp Engn, Singapore 117576, Singapore
关键词
switched linear systems; stabilisability; geometrical approach; best case analysis; ADAPTIVE-CONTROL; STABILITY; STABILIZATION;
D O I
10.1080/00207170903384321
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 article, the regional stabilisability issues of a pair of planar LTI systems are investigated through the geometrical approach, and easily verifiable necessary and sufficient conditions are derived. The main idea of the article is to characterise the best case switching signals based upon the variations of the constants of the integration of the subsystems. The conditions are generic as all possible combinations of the subsystem dynamics are considered.
引用
收藏
页码:694 / 715
页数:22
相关论文
共 36 条
[1]   Stability and controllability of planar, conewise linear systems [J].
Arapostathis, Ari ;
Broucke, Mireille E. .
SYSTEMS & CONTROL LETTERS, 2007, 56 (02) :150-158
[2]   Closed loop stabilization of planar bilinear switched systems [J].
Bacciotti, A ;
Ceragioli, F .
INTERNATIONAL JOURNAL OF CONTROL, 2006, 79 (01) :14-23
[3]   Stability of planar switched systems: The nondiagonalizable case [J].
Balde, Moussa ;
Boscain, Ugo .
COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, 2008, 7 (01) :1-21
[4]   Stability of planar switched systems: The linear single input case [J].
Boscain, U .
SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 2002, 41 (01) :89-112
[5]   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
[6]   Stabilization of switched linear systems [J].
Cheng, DZ ;
Guo, L ;
Lin, YD ;
Wang, Y .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2005, 50 (05) :661-666
[7]   Stabilization of planar switched systems [J].
Cheng, DZ .
SYSTEMS & CONTROL LETTERS, 2004, 51 (02) :79-88
[8]   An LMI approach for H∞ analysis and control of discrete-time piecewise affine systems [J].
Cuzzola, FA ;
Morari, M .
INTERNATIONAL JOURNAL OF CONTROL, 2002, 75 (16-17) :1293-1301
[9]   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
[10]  
DAYAWANSA WP, 1999, IEEE T AUTOMATIC CON, V45, P1864