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Fed-batch bioreactor with mortality rate

Térence Bayen 1, 2 Francis Mairet 3 Marc Mazade 4 
2 MODEMIC - Modelling and Optimisation of the Dynamics of Ecosystems with MICro-organisme
CRISAM - Inria Sophia Antipolis - Méditerranée , MISTEA - Mathématiques, Informatique et STatistique pour l'Environnement et l'Agronomie
3 BIOCORE - Biological control of artificial ecosystems
LOV - Laboratoire d'océanographie de Villefranche, CRISAM - Inria Sophia Antipolis - Méditerranée , INRA - Institut National de la Recherche Agronomique
Abstract : We address the problem of finding an optimal feedback control for feeding a fed-batchbioreactor with one species and one substrate, from a given initial condition to a given targetvalue in a minimal amount of time. Mortality rate for the biomass and nutrient recycling are taken into account in this work. The optimal synthesis (optimal feeding strategy) has been obtained by Moreno in 1999 when both mortality and recycling are considered negligible, in the case of Monod and Haldane growth function. Our objective is to study the effect of mortalityand recycling on the optimal synthesis. We provide an optimal synthesis of the problem usingPontryagin maximum principle, which extends the result of Moreno in the impulsive frameworkwith mortality and recycling effect.
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Contributor : Jean-Luc Gouzé Connect in order to contact the contributor
Submitted on : Tuesday, August 6, 2013 - 12:56:04 PM
Last modification on : Tuesday, October 25, 2022 - 4:19:19 PM

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Térence Bayen, Francis Mairet, Marc Mazade. Fed-batch bioreactor with mortality rate. 9th IFAC Symposium on Nonlinear Control Systems (NOLCOS), Sep 2013, Toulouse, France. pp.158-163, ⟨10.3182/20130904-3-FR-2041.00024⟩. ⟨hal-00850367⟩



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