Reference
I. Necoara, B. De Schutter,
T. J. J. van den Boom, and J.
Hellendoorn, "Stable receding horizon control for max-plus-linear systems,"
Proceedings of the 2006 American Control Conference,
Minneapolis, Minnesota, pp. 4055-4060, June 2006.
Abstract
We develop a stabilizing receding horizon control (RHC) scheme for the class of
discrete-event systems called max-pus-linear (MPL) systems. MPL systems can be
described by models that are "linear" in the max-plus algebra, which has
maximization and addition as basic operations. In this paper we extend the
concept of positively invariant set from classical system theory to
discrete-event MPL systems. We define stability for the class of MPL systems in
the sense of Lyapunov. For a particular convex piecewise affine cost function
and linear input-state constraints the RHC optimization problem can be recast
as a linear program. Using a dual-mode approach we are able to prove
exponential stability of the RHC scheme. We derive also a constrained
time-optimal controller by solving a sequence of parametric linear programs.
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BibTeX
@inproceedings{NecDeS:05-016,
author = {Necoara, Ion and De Schutter, Bart and van den Boom, Ton J. J.
and Hellendoorn, Johannes},
title = {Stable Receding Horizon Control for Max-Plus-Linear Systems},
booktitle = {Proceedings of the 2006 American Control Conference},
address = {Minneapolis, Minnesota},
pages = {4055--4060},
month = jun,
year = {2006}
}