A Stabilizing Model Predictive Controller for Uncertain Max-Plus-Linear Systems and Uncertain Switching Max-Plus-Linear Systems

Reference

T. van den Boom and B. De Schutter, "A stabilizing model predictive controller for uncertain max-plus-linear systems and uncertain switching max-plus-linear systems," Proceedings of the 18th IFAC World Congress, Milan, Italy, pp. 8663-8668, Aug.-Sept. 2011.

Abstract

We first discuss conditions for stability for uncertain max-plus-linear systems and for uncertain switching max-plus-linear systems, where in the uncertainty description the system matrices live in a union of polyhedra. Based on the newly derived stability conditions, a stabilizing model predictive controller is derived for both uncertain max-plus-linear systems and uncertain switching max-plus-linear systems.

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BibTeX

@inproceedings{vanDeS:11-010,
   author    = {van den Boom, Ton and De Schutter, Bart},
   title     = {A Stabilizing Model Predictive Controller for Uncertain
                Max-Plus-Linear Systems and Uncertain Switching Max-Plus-Linear
                Systems},
   booktitle = {Proceedings of the 18th IFAC World Congress},
   address   = {Milan, Italy},
   pages     = {8663--8668},
   month     = aug # {--} # sep,
   year      = {2011}
   }


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