On MPC for Max-Plus-Linear Systems: Analytic Solution and Stability
Reference
T.J.J. van den Boom,
B. De Schutter, and
I. Necoara,
"On MPC for Max-Plus-Linear Systems: Analytic Solution and Stability,"
Proceedings of the 44th IEEE Conference on Decision
and Control, and the European Control Conference 2005
(CDC-ECC'05), Seville, Spain, pp. 7816-7821, Dec. 2005.
Abstract
In previous work we have extended the popular Model Predictive
Control (MPC) design technique to a class of discrete event systems
that can be described by a model that is "linear" in the max-plus
algebra. In this paper we study the analytic solution of the MPC
controller for these max-plus-linear (MPL) systems and we compare this
solution with other well-known control schemes. Furthermore, we derive
tuning rules for the controller parameters that guarantee us a stable
feasible and stable operation of the controller.
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Bibtex entry
@inproceedings{vanDeS:05-010,
author={T.J.J. van den Boom and B. {D}e Schutter and I. Necoara},
title={On {MPC} for Max-Plus-Linear Systems: {Analytic} Solution and
Stability},
booktitle={Proceedings of the 44th IEEE Conference on Decision and Control, and
the European Control Conference 2005 (CDC-ECC'05)},
address={Seville, Spain},
pages={7816--7821},
month=dec,
year={2005}
}
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Last update: February 21, 2026.