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Optimal control separating two microalgae species competing in a chemostat

Walid Djema 1 Olivier Bernard 1 Térence Bayen 2
1 BIOCORE - Biological control of artificial ecosystems
CRISAM - Inria Sophia Antipolis - Méditerranée , LOV - Laboratoire d'océanographie de Villefranche, INRAE - Institut National de Recherche pour l’Agriculture, l’Alimentation et l’Environnement
2 LMA - EA2151 Laboratoire de Mathématiques d'Avignon
Abstract : In this work, we study the question of selecting in minimal-time a microalgae species of interest using the Droop model to describe the dynamics of two distinct populations competing for a limiting nutrient. This amounts to consider an optimal control problem governed by a five-dimensional affine control system in which the control is the dilution rate. Throughout this paper, the optimal control strategies allowing the strain of interest to dominate the population in minimal-time is discussed. These results are illustrated using a numerical direct optimization method (implemented in Bocop).
Keywords : Optimal control Pontryagin Maximum Principle Singular arc Droop's model Chemostat system
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Submitted on : Tuesday, September 15, 2020 - 4:11:05 PM
Last modification on : Wednesday, September 23, 2020 - 3:55:32 AM

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Walid Djema, Olivier Bernard, Térence Bayen. Optimal control separating two microalgae species competing in a chemostat. IEEE Conference on Decision and Control CDC2020, IEEE, Dec 2020, Jeju Island, Republic of Korea, Dec 2020, Jeju Island, South Korea. ⟨hal-02939495⟩

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