MPC for Perturbed Max-Plus-Linear Systems

Reference

T.J.J. van den Boom and B. De Schutter, "MPC for Perturbed Max-Plus-Linear Systems," Proceedings of the European Control Conference 2001 (ECC'01), Porto, Portugal, pp. 3783-3788, Sept. 2001.

Abstract

Model predictive control (MPC) is a popular controller design technique in the process industry. Conventional MPC uses (non)linear discrete-time models. Recently we have extended MPC to a class of discrete event systems that can be described by a model that is linear in the (max,+) algebra. Up to now we have only considered the deterministic noise-free case without modeling errors. In this paper we extend our previous results to cases with noise and/or modeling errors. We show that under quite general conditions the resulting optimization problem can be solved very efficiently.

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Bibtex entry

@inproceedings{vanDeS:00-14,
author={T.J.J. van den Boom and B. {D}e Schutter},
title={{MPC} for Perturbed Max-Plus-Linear Systems},
booktitle={Proceedings of the European Control Conference 2001 (ECC'01)},
address={Porto, Portugal},
pages={3783--3788},
month=sep,
year={2001}
}

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