MPC for max-plus-linear systems with an output cost criterion: Steady-state behavior and guaranteed stability

Reference:
T.J.J. van den Boom and B. De Schutter, "MPC for max-plus-linear systems with an output cost criterion: Steady-state behavior and guaranteed stability," Proceedings of the Joint 48th IEEE Conference on Decision and Control and 28th Chinese Control Conference, Shanghai, China, pp. 2286-2291, Dec. 2009.

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 steady-state behavior of these so-called max-plus-linear systems in the case of an output cost criterion. We derive improved tuning rules for the controller parameters that guarantee us a feasible and stable operation of the controller in the unconstrained case. An example shows that violation of the tuning rules may destabilize the closed-loop system.

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Bibtex entry:

@inproceedings{vanDeS:09-037,
        author={T.J.J. van den Boom and B. {D}e Schutter},
        title={{MPC} for max-plus-linear systems with an output cost criterion: Steady-state behavior and guaranteed stability},
        booktitle={Proceedings of the Joint 48th IEEE Conference on Decision and Control and 28th Chinese Control Conference},
        address={Shanghai, China},
        pages={2286--2291},
        month=dec,
        year={2009}
        }

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