An Optimal Control Strategy Separating Two Species of Microalgae in Photobioreactors

Type : ACTI
Nature : Production scientifique
Au bénéfice du Laboratoire : Non
Statut de publication : Publié
Année de publication : 2019
Lieu de publication : -
Titre de la conférence : Dynamics and Control of Process Systems, including Biosystems - 12th DYCOPS 2019
Lieu de la conférence : Florianopolis, Brazil
Année de la conférence : -
Date de début : -
Date de fin : -
Titre du proceeding : Dynamics and Control of Process Systems, including Biosystems - 12th DYCOPS 2019
Editeur de presse : -
Volume : -
Fascicule : -
Pages : 910-915
Auteurs (3) : DJEMA Walid GIRALDI Laetitia BERNARD Olivier
Editeurs scientifiques (0) :
DOI : 10.1016/j.ifacol.2019.06.178
URL : https://hal.inria.fr/hal-01891910
Abstract : We investigate a minimal-time control problem in a chemostat continuous photo-bioreactor model that describes the dynamics of two distinct microalgae populations. More precisely, our objective in this paper is to optimize the time of selection-or separation-between two species of microalgae. We focus in this work on Droop's model which takes into account an internal quota storage for each microalgae species. Using Pontryagin's principle, we develop a dilution-based control strategy that steers the model trajectories to a suitable target in minimal time. Our study reveals that singular arcs play a key role in the optimization problem. A numerical optimal-synthesis, based on direct optimal control tools, is performed throughout the paper, thereby confirming the optimality of the provided feedback-control law, which is of type bang-singular.
Mots-clés : chemostat ; Optimization ; feedback control ; nonlinear ; Droop's model ; microalgae
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Citation :
Djema W, Giraldi L, Bernard O (2019) An Optimal Control Strategy Separating Two Species of Microalgae in Photobioreactors. Dynamics and Control of Process Systems, including Biosystems - 12th DYCOPS 2019. , 910-915 | doi: 10.1016/j.ifacol.2019.06.178