Reference
I. Necoara,
T. J. J. van den Boom,
B. De Schutter, and J. Hellendoorn, "Stabilization of max-plus-linear systems
using receding horizon control - The unconstrained case,"
Proceedings of the 2nd IFAC Conference on Analysis and Design of
Hybrid Systems (ADHS'06), Alghero, Italy, pp. 148-153, June 2006.
Abstract
Max-plus-linear (MPL) systems are a class of discrete-event systems that can be
described by models that are "linear" in the max-plus algebra. MPL systems
arise in the context of e.g. manufacturing systems, telecommunication networks,
railway networks, and parallel computing. We derive a receding horizon control
scheme for MPL systems that guarantees a priori stability (in the sense of
boundedness of the normalized state) of the closed-loop system in the
"unconstrained" case. We also discuss the main properties of the resulting
receding horizon controllers.
Publisher page
Downloads
Extended version
- I. Necoara, T. J. J. van den Boom, B. De Schutter, and J. Hellendoorn, "Stabilization of max-plus-linear systems using receding horizon control: The unconstrained case - Extended report," Tech. report 06-007a, Delft Center for Systems and Control, Delft University of Technology, Delft, The Netherlands, 16 pp., Apr. 2006. A short version of this report has been published in the Proceedings of the 2nd IFAC Conference on Analysis and Design of Hybrid Systems (ADHS'06), Alghero, Italy, pp. 148-153, June 2006. (abstract, bibtex, report (pdf))
BibTeX
@inproceedings{Necvan:06-007,
author = {Necoara, Ion and van den Boom, Ton J. J. and De Schutter, Bart
and Hellendoorn, Johannes},
title = {Stabilization of Max-Plus-Linear Systems Using Receding Horizon
Control -- {The} Unconstrained Case},
booktitle = {Proceedings of the 2nd IFAC Conference on Analysis and Design
of Hybrid Systems (ADHS'06)},
address = {Alghero, Italy},
pages = {148--153},
month = jun,
year = {2006}
}