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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