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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
INRA - Institut National de la Recherche Agronomique, CRISAM - Inria Sophia Antipolis - Méditerranée , LOV - Laboratoire d'océanographie de Villefranche
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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https://hal.inria.fr/hal-00850367
Contributor : Jean-Luc Gouzé <>
Submitted on : Tuesday, August 6, 2013 - 12:56:04 PM
Last modification on : Wednesday, September 15, 2021 - 12:12:03 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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