An algebraic approach towards the controllability of controlled switching linear hybrid systems

被引:74
作者
Yang, ZY [1 ]
机构
[1] Aalborg Univ, Dept Comp Sci & Engn, DK-6700 Esbjerg, Denmark
关键词
hybrid systems; controllability; switched systems;
D O I
10.1016/S0005-1098(02)00010-9
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
Based on the hybrid controllability concept (IEEE Automat. Control 43(4) (1998) 491), the controllability problem for a class of hybrid control systems referred to as controlled switching linear hybrid systems is discussed. One sufficient condition and one necessary condition are derived by employing algebraic manipulations of related system matrices. The computational test of these conditions and some examples are also discussed. (C) 2002 Elsevier Science Ltd. All rights reserved.
引用
收藏
页码:1221 / 1228
页数:8
相关论文
共 18 条
[1]  
[Anonymous], IEEE CONTROL SYSTEMS
[2]   Observability and controllability of piecewise affine and hybrid systems [J].
Bemporad, A ;
Ferrari-Trecate, G ;
Morari, M .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2000, 45 (10) :1864-1876
[3]  
Beydoun A, 1998, LECT NOTES COMPUT SC, V1386, P33
[4]   Complexity of stability and controllability of elementary hybrid systems [J].
Blondel, VD ;
Tsitsiklis, JN .
AUTOMATICA, 1999, 35 (03) :479-489
[5]   A unified framework for hybrid control: Model and optimal control theory [J].
Branicky, MS ;
Borkar, VS ;
Mitter, SK .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1998, 43 (01) :31-45
[6]   Hierarchical hybrid control systems: A lattice theoretic formulation [J].
Caines, PE ;
Wei, YJ .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1998, 43 (04) :501-508
[7]  
EZZINE J, 1989, INT J CONTROL, V49, P2045
[8]  
GURVITS L, 2001, DRAFT
[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]   Supervisory control of families of linear set-point controllers .1. Exact matching [J].
Morse, AS .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1996, 41 (10) :1413-1431