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 - Extended report," Tech. rep.
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:
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. In this paper we focus on MPL systems such as they 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.
Technical report:
pdf
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(170 KB)