Controllability and reachability criteria for switched linear systems

被引:376
|
作者
Sun, ZD [1 ]
Ge, SS [1 ]
Lee, TH [1 ]
机构
[1] Natl Univ Singapore, Dept Elect & Comp Engn, Singapore 117576, Singapore
基金
中国国家自然科学基金;
关键词
switched systems; controllability; reachability; observability; determinability; switching control;
D O I
10.1016/S0005-1098(01)00267-9
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
This paper investigates the controllability and reachability of switched linear control systems. It is proven that both the controllable and reachable sets are subspaces of the total space. Complete geometric characterization for both sets is presented. The switching control design problem is also addressed. (C) 2002 Elsevier Science Ltd. All rights reserved.
引用
收藏
页码:775 / 786
页数:12
相关论文
共 50 条
  • [1] Reachability and controllability of switched linear systems
    Ge, SS
    Sun, ZD
    Lee, TH
    [J]. PROCEEDINGS OF THE 2001 AMERICAN CONTROL CONFERENCE, VOLS 1-6, 2001, : 1898 - 1903
  • [2] Reachability and controllability of linear switched impulsive systems
    Liu, Chao
    Li, Chuandong
    Han, Qi
    Li, Chaojie
    Zhang, Qun
    [J]. IET CONTROL THEORY AND APPLICATIONS, 2013, 7 (09): : 1294 - 1299
  • [3] Reachability and controllability of switched linear systems with state jumps
    Wang, YJ
    Xie, GM
    Wang, L
    [J]. 2003 IEEE INTERNATIONAL CONFERENCE ON SYSTEMS, MAN AND CYBERNETICS, VOLS 1-5, CONFERENCE PROCEEDINGS, 2003, : 672 - 677
  • [4] A Perspective on Reachability and Controllability of Controlled Switched Linear Systems
    Ji Zhijian
    Lin Hai
    Lee Tong Heng
    [J]. PROCEEDINGS OF THE 27TH CHINESE CONTROL CONFERENCE, VOL 7, 2008, : 702 - +
  • [5] Reachability and controllability of switched linear discrete-time systems
    Ge, SS
    Sun, ZD
    Lee, TH
    [J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2001, 46 (09) : 1437 - 1441
  • [6] On reachability and controllability of positive discrete-time switched linear systems
    Xie, Guangming
    Wang, Long
    [J]. 2006 IEEE INTERNATIONAL CONFERENCE ON SYSTEMS, MAN, AND CYBERNETICS, VOLS 1-6, PROCEEDINGS, 2006, : 4575 - +
  • [7] Reachability and Controllability Characterizations for Linear Switched Systems in Discrete Time: A Geometric Approach
    Sutrisno, Sutrisno
    Trenn, Stephan
    [J]. 2023 EUROPEAN CONTROL CONFERENCE, ECC, 2023,
  • [8] Inhomogeneous Singular Linear Switched Systems in Discrete Time: Solvability, Reachability, and Controllability Characterizations
    Sutrisno
    Trenn, Stephan
    [J]. 2023 62ND IEEE CONFERENCE ON DECISION AND CONTROL, CDC, 2023, : 5869 - 5874
  • [9] Controllability of switched linear systems
    Xie, GM
    Zheng, DZ
    Wang, L
    [J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2002, 47 (08) : 1401 - 1405
  • [10] On controllability of switched linear systems
    Ji, Zhijian
    Wang, Long
    Guo, Xiaoxia
    [J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2008, 53 (03) : 796 - 801