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
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