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

E. Yurtseven, M.K. Camlibel, W.P.M.H. Heemels

Research output: Contribution to journalArticleAcademicpeer-review

6 Citations (Scopus)
1 Downloads (Pure)

Abstract

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. © 2013 Elsevier B.V. All rights reserved.
Original languageEnglish
Pages (from-to)338-344
Number of pages7
JournalSystems and Control Letters
Volume62
Issue number4
DOIs
Publication statusPublished - 2013

Fingerprint

Controllability
Linear systems
Control theory

Cite this

@article{0c090273ec0d450a91b04d6c49211ec9,
title = "Controllability of a class of bimodal discrete-time piecewise linear systems",
abstract = "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. {\circledC} 2013 Elsevier B.V. All rights reserved.",
author = "E. Yurtseven and M.K. Camlibel and W.P.M.H. Heemels",
year = "2013",
doi = "10.1016/j.sysconle.2013.01.006",
language = "English",
volume = "62",
pages = "338--344",
journal = "Systems and Control Letters",
issn = "0167-6911",
publisher = "Elsevier",
number = "4",

}

Controllability of a class of bimodal discrete-time piecewise linear systems. / Yurtseven, E.; Camlibel, M.K.; Heemels, W.P.M.H.

In: Systems and Control Letters, Vol. 62, No. 4, 2013, p. 338-344.

Research output: Contribution to journalArticleAcademicpeer-review

TY - JOUR

T1 - Controllability of a class of bimodal discrete-time piecewise linear systems

AU - Yurtseven, E.

AU - Camlibel, M.K.

AU - Heemels, W.P.M.H.

PY - 2013

Y1 - 2013

N2 - 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. © 2013 Elsevier B.V. All rights reserved.

AB - 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. © 2013 Elsevier B.V. All rights reserved.

U2 - 10.1016/j.sysconle.2013.01.006

DO - 10.1016/j.sysconle.2013.01.006

M3 - Article

VL - 62

SP - 338

EP - 344

JO - Systems and Control Letters

JF - Systems and Control Letters

SN - 0167-6911

IS - 4

ER -