CRISAM - Inria Sophia Antipolis - Méditerranée , LOV - Laboratoire d'océanographie de Villefranche, INRAE - Institut National de Recherche pour l’Agriculture, l’Alimentation et l’Environnement
IMEV - Institut de la Mer de Villefranche (nstitut de la Mer de Villefranche (IMEV)
CNRS - Sorbonne Université
181 chemin du Lazaret
06230 Villefranche-sur-Mer - FRANCE - France)
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).
https://hal-univ-avignon.archives-ouvertes.fr/hal-02939495 Contributor : Térence BayenConnect in order to contact the contributor Submitted on : Tuesday, September 15, 2020 - 4:11:05 PM Last modification on : Tuesday, February 22, 2022 - 11:36:04 AM Long-term archiving on: : Friday, December 4, 2020 - 8:16:57 PM
Walid Djema, Olivier Bernard, Térence Bayen. Optimal control separating two microalgae species competing in a chemostat. CDC 2020 - 59th IEEE Conference on Decision and Control, Dec 2020, Jeju Island / Virtual, South Korea. ⟨hal-02939495⟩