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

@inproceedings{vanDeS:05-010,
   author    = {van den Boom, Ton J. J. and De Schutter, Bart and Necoara,
                Ion},
   title     = {On {MPC} for Max-Plus-Linear Systems: {A}nalytic 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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