Stabilization of max-plus-linear systems using receding horizon control - The unconstrained case

Reference:
I. Necoara, T.J.J. van den Boom, B. De Schutter, and J. Hellendoorn, "Stabilization of max-plus-linear systems using receding horizon control - The unconstrained case," Proceedings of the 2nd IFAC Conference on Analysis and Design of Hybrid Systems (ADHS'06), Alghero, Italy, pp. 148-153, June 2006.

Abstract:
Max-plus-linear (MPL) systems are a class of discrete-event systems that can be described by models that are "linear" in the max-plus algebra. MPL systems arise in the context of e.g. manufacturing systems, telecommunication networks, railway networks, and parallel computing. We derive a receding horizon control scheme for MPL systems that guarantees a priori stability (in the sense of boundedness of the normalized state) of the closed-loop system in the "unconstrained" case. We also discuss the main properties of the resulting receding horizon controllers.

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Bibtex entry:

@inproceedings{Necvan:06-007,
        author={I. Necoara and T.J.J. van den Boom and B. {D}e Schutter and J. Hellendoorn},
        title={Stabilization of max-plus-linear systems using receding horizon control -- {The} unconstrained case},
        booktitle={Proceedings of the 2nd IFAC Conference on Analysis and Design of Hybrid Systems (ADHS'06)},
        address={Alghero, Italy},
        pages={148--153},
        month=jun,
        year={2006},
        doi={10.3182/20060607-3-IT-3902.00029}
        }

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