CNRS - Centre National de la Recherche Scientifique : UMR7641, X - École polytechnique, UMA - Unité de Mathématiques Appliquées, Inria Saclay - Ile de France, CMAP - Centre de Mathématiques Appliquées - Ecole Polytechnique
Abstract : This work is devoted to maximizing the production of methane in a bioreactor coupling an anaerobic digester and a culture of micro-algae limited by light. The decision parameter is the dilution rate which is chosen as a control, and we enforce periodic constraints in order to repeat the same operation every day. The system is gathered into a three-dimensional system taking into account a day-night model of the light in the culture of micro-algae. Applying Pontryagin maximum principle, the necessary conditions on optimal trajectories indicate that the control consists of bang and/or singular arcs. We provide numerical simulations by both direct and indirect methods, which show the link between the light model and the structure of optimal solutions.
Type de document :
Communication dans un congrès
13th European Control Conference, Jul 2013, Zurich, Switzerland. pp.6, 2012
https://hal.inria.fr/hal-00754971
Contributeur : Pierre Martinon
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Soumis le : mercredi 13 février 2013 - 15:46:41
Dernière modification le : lundi 11 juin 2018 - 10:46:02
Document(s) archivé(s) le : mardi 14 mai 2013 - 04:00:37
Térence Bayen, Francis Mairet, Pierre Martinon, Matthieu Sebbah. Optimizing the anaerobic digestion of microalgae in a coupled process. 13th European Control Conference, Jul 2013, Zurich, Switzerland. pp.6, 2012. 〈hal-00754971〉
