A constructive approach to reachability realization of discrete-time switched linear systems

被引：27
作者：
Ji, Zhijian [1 ]
Feng, Gang
Guo, Xiaoxia
机构：
[1] Qingdao Univ, Sch Automat Engn, Qingdao 266071, Peoples R China
[2] City Univ Hong Kong, Dept Mfg Engn & Engn Management, Hong Kong, Hong Kong, Peoples R China
[3] Ocean Univ China, Dept Math, Qingdao 266071, Peoples R China
来源：
SYSTEMS & CONTROL LETTERS | 2007年 / 56卷 / 11-12期
基金：
中国国家自然科学基金;
关键词：
switched systems; controllability; reachability; switching sequences;
D O I：
10.1016/j.sysconle.2007.06.010
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 studies the reachability of discrete-time switched linear systems. A new constructive approach to designing switching sequences is developed so that not only the reachable subspace is realized but also the required number of switchings is reduced significantly. Detailed comparison between the obtained result and that reported in the open literature is also made, which verifies the advantage of the proposed approach. (c) 2007 Elsevier B.V. All rights reserved.
引用
收藏
页码：669 / 677
页数：9
相关论文
共 44 条
[1]   Stabilization by means of state space depending switching rules [J].
Bacciotti, A .
SYSTEMS & CONTROL LETTERS, 2004, 53 (3-4) :195-201
[2]   COMPLETE CONTROLLABILITY AND CONTRACTIBILITY IN MULTIMODAL SYSTEMS [J].
BARKER, GP ;
CONNER, LT ;
STANFORD, DP .
LINEAR ALGEBRA AND ITS APPLICATIONS, 1988, 110 :55-74
[3]   Stabilization of switched linear systems [J].
Cheng, DZ ;
Guo, L ;
Lin, YD ;
Wang, Y .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2005, 50 (05) :661-666
[4]   Controllability of switched bilinear systems [J].
Cheng, DZ .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2005, 50 (04) :511-515
[5]   STATE DEADBEAT RESPONSE AND OBSERVABILITY IN MULTI-MODAL SYSTEMS [J].
CONNER, LT ;
STANFORD, DP .
SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 1984, 22 (04) :630-644
[6]   THE STRUCTURE OF THE CONTROLLABLE SET FOR MULTIMODAL SYSTEMS [J].
CONNER, LT ;
STANFORD, DP .
LINEAR ALGEBRA AND ITS APPLICATIONS, 1987, 95 :171-180
[7]   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
[8]  
EZZINE J, 1989, INT J CONTROL, V49, P2045
[9]   REVERSIBLE LINEAR AND NONLINEAR DISCRETE-TIME DYNAMICS [J].
FLIESS, M .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1992, 37 (08) :1144-1153
[10]   Reachability and controllability of switched linear discrete-time systems [J].
Ge, SS ;
Sun, ZD ;
Lee, TH .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2001, 46 (09) :1437-1441
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