Controllability of a class of bimodal discrete-time piecewise linear systems

被引：5
|
作者：
Yurtseven, E. [1 ,4 ]
Camlibel, M. K. [2 ,3 ]
Heemels, W. P. M. H. [1 ]
机构：
[1] Eindhoven Univ Technol, Dept Mech Engn, Hybrid & Networked Syst Grp, NL-5600 MB Eindhoven, Netherlands
[2] Univ Groningen, Johann Bernoulli Inst Math & Comp Sci, Groningen, Netherlands
[3] Dogus Univ, Dept Elect & Commun Engn, Istanbul, Turkey
[4] SKF, Nieuwegein, Netherlands
来源：
SYSTEMS & CONTROL LETTERS | 2013年 / 62卷 / 04期
关键词：
Bimodal systems; Piecewise linear systems; Controllability; Reachability; Hybrid systems; Non-convex input constraint set; NULL-CONTROLLABILITY; STABILITY; PLANAR;
D O I：
10.1016/j.sysconle.2013.01.006
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 paper we will provide full algebraic necessary and sufficient conditions for the controllability/reachability/null controllability of a class of bimodal discrete-time piecewise linear systems including several instances of interest that are not covered by existing works which focus primarily on the planar case. In particular, the class is characterized by a continuous right-hand side, a scalar input and a transfer function from the control input to the switching variable with at most two zeroes whereas the state can be of any dimension. To prove the main result, we will make use of geometric control theory for linear systems and a novel result on controllability for input-constrained linear systems with non-convex constraint sets. (C) 2013 Elsevier B.V. All rights reserved.
引用
收藏
页码：338 / 344
页数：7
相关论文
共 50 条
  • [31] On reachability and controllability of positive discrete-time switched linear systems
    Xie, Guangming
    Wang, Long
    2006 IEEE INTERNATIONAL CONFERENCE ON SYSTEMS, MAN, AND CYBERNETICS, VOLS 1-6, PROCEEDINGS, 2006, : 4575 - +
  • [32] Controllability Properties and Invariance Pressure for Linear Discrete-Time Systems
    Fritz Colonius
    João A. N. Cossich
    Alexandre J. Santana
    Journal of Dynamics and Differential Equations, 2022, 34 : 5 - 28
  • [33] REACHABILITY AND CONTROLLABILITY OF DISCRETE-TIME LINEAR PERIODIC-SYSTEMS
    BITTANTI, S
    BOLZERN, P
    IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1985, 30 (04) : 399 - 401
  • [34] A Computational Stability Analysis of Discrete-Time Piecewise Linear Systems
    Krishnamurthy, Satyajit A.
    Lee, Ji-Woong
    PROCEEDINGS OF THE 48TH IEEE CONFERENCE ON DECISION AND CONTROL, 2009 HELD JOINTLY WITH THE 2009 28TH CHINESE CONTROL CONFERENCE (CDC/CCC 2009), 2009, : 1106 - 1111
  • [35] Structural controllability and structural near-controllability of a class of discrete-time bilinear systems
    Liu, Jiapeng
    Tie, Lin
    INTERNATIONAL JOURNAL OF CONTROL, 2022, 95 (08) : 2024 - 2036
  • [36] On near-controllability and stabilizability of a class of discrete-time bilinear systems
    Tie, Lin
    Cai, Kai-Yuan
    SYSTEMS & CONTROL LETTERS, 2011, 60 (08) : 650 - 657
  • [37] On controllability of a class of discrete-time homogeneous bilinear systems with solvable controls
    Tie, Lin
    Cai, Kai-Yuan
    INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, 2012, 22 (06) : 591 - 603
  • [38] On controllability of discrete-time bilinear systems
    Tie, Lin
    Cai, Kai-Yuan
    Lin, Yai
    JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2011, 348 (05): : 933 - 940
  • [39] Reachability and controllability of time-variant discrete-time positive linear systems
    Rumchev, VG
    Adeane, J
    CONTROL AND CYBERNETICS, 2004, 33 (01): : 85 - 94
  • [40] Reachability and controllability of positive linear discrete-time systems with time-delays
    Xie, GM
    Wang, L
    POSITIVE SYSTEMS, PROCEEDINGS, 2003, 294 : 377 - 384
12345