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
@inproceedings{vanDeS:06-011,
author = {Necoara, Ion and De Schutter, Bart and van den Boom, Ton and
Hellendoorn, Hans},
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}
}