MPC for Max-Plus-Linear Systems with an Output Cost Criterion:
Steady-State Behavior and Guaranteed Stability
Reference
T.J.J. van den Boom and
B. De Schutter,
"MPC for Max-Plus-Linear Systems with an Output Cost Criterion:
Steady-State Behavior and Guaranteed Stability," Proceedings of the Joint 48th IEEE Conference on Decision
and Control and 28th Chinese Control Conference, Shanghai,
China, pp. 2286-2291, Dec. 2009.
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 steady-state behavior of these so-called
max-plus-linear systems in the case of an output cost criterion. We
derive improved tuning rules for the controller parameters that
guarantee us a feasible and stable operation of the controller in the
unconstrained case. An example shows that violation of the tuning
rules may destabilize the closed-loop system.
Downloads
- Corresponding technical report:
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(296 KB)
Bibtex entry
@inproceedings{vanDeS:09-037,
author={T.J.J. van den Boom and B. {D}e Schutter},
title={{MPC} for Max-Plus-Linear Systems with an Output Cost Criterion:
{Steady}-State Behavior and Guaranteed Stability},
booktitle={Proceedings of the Joint 48th IEEE Conference on Decision and Control
and 28th Chinese Control Conference},
address={Shanghai, China},
pages={2286--2291},
month=dec,
year={2009}
}
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Last update: February 21, 2026.