1Mathematisches Institut [Bayreuth] (University of Bayreuth Faculty of Mathematics, Physics and Computer Science Mathematical Institute D-95440 Bayreuth Germany - Allemagne)
Abstract : We consider a model predictive control (MPC) scheme without stabilizing terminal constraints applied to the linear heat equation. We apply a method to analyze minimal stabilizing optimization horizons based on an exponential controllability condition. While the method is known to yield conservative quantitative results for concrete examples, our analysis shows that it precisely determines qualitative changes in the horizon for changing parameters and changing problem structures. Particularly, it is able to explain numerically observed differences in the stability behavior of MPC for distributed and for boundary control.
https://hal.inria.fr/hal-00800080
Contributeur : Estelle Bouzat
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Soumis le : mercredi 13 mars 2013 - 10:43:09
Dernière modification le : vendredi 13 octobre 2017 - 17:08:16
Nils Altmüller, Lars Grüne. Distributed and boundary model predictive control for the heat equation. GAMM-Mitteilungen, WILEY-VCH Verlag GmbH, 2012, 35 (2), pp.131-145. 〈10.1002/gamm.201210010〉. 〈hal-00800080〉
