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Proceedings Year : 2020

Optimal control separating two microalgae species competing in a chemostat

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).
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Dates and versions

hal-02939495 , version 1 (15-09-2020)

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Walid Djema, Olivier Bernard, Térence Bayen. Optimal control separating two microalgae species competing in a chemostat. 2020, 2020 59th IEEE Conference on Decision and Control (CDC), ⟨10.1109/CDC42340.2020.9304115⟩. ⟨hal-02939495⟩
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