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Journal Articles Automatica Year : 2020

Improvement of performances of the chemostat used for continuous biological water treatment with periodic controls

Abstract

We investigate the benefit of operating the chemostat model with periodic controls for biological water decontamination. We address a first problem of minimizing the average output concentration of pollution under a constraint of the total quantity of water treated over the period, and a second one of maximizing this quantity under a constraint on the average output concentration. We first give conditions on the growth characteristics of microorganisms for which an improvement is possible, compared to steady-state. We then give the global optimal periodic control strategies for the first problem and show a duality between the two problems, which allows to obtain the solutions of the second problem from the first one. Results are illustrated on Monod, Haldane, Hill and Contois kinetics.
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Dates and versions

hal-02889779 , version 1 (05-07-2020)

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Térence Bayen, Alain Rapaport, Fatima Zahra Tani. Improvement of performances of the chemostat used for continuous biological water treatment with periodic controls. Automatica, 2020, 121, ⟨10.1016/j.automatica.2020.109199⟩. ⟨hal-02889779⟩
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