Min-max model predictive control for uncertain max-min-plus-scaling systems


Reference:

I. Necoara, B. De Schutter, T. van den Boom, and H. Hellendoorn, "Min-max model predictive control for uncertain max-min-plus-scaling systems," Proceedings of the 8th International Workshop on Discrete Event Systems (WODES'06), Ann Arbor, Michigan, pp. 439-444, July 2006.

Abstract:

We extend the model predictive control (MPC) framework that has been developed previously to a class of uncertain discrete event systems that can be modeled using the operations maximization, minimization, addition and scalar multiplication. This class encompasses max-plus-linear systems, min-max-plus systems, bilinear max-plus systems and polynomial max-plus systems. We first consider open-loop min-max MPC and we show that the resulting optimization problem can be transformed into a set of linear programming problems. Then, min-max feedback model predictive control using disturbance feedback policies is presented, which leads to improved performance compared to the open-loop approach.

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Bibtex entry:

@inproceedings{vanDeS:06-011,
author={I. Necoara and B. {D}e Schutter and T. van den Boom and H. Hellendoorn},
title={Min-max model predictive control for uncertain max-min-plus-scaling systems},
booktitle={Proceedings of the 8th International Workshop on Discrete Event Systems (WODES'06)},
address={Ann Arbor, Michigan},
pages={439--444},
month=jul,
year={2006}
}


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