FN Archimer Export Format
PT J
TI Optimal control of microbial production in the chemostat
BT 
AF Bayen, Terence
   Cazenave-Lacroutz, Henri
   Coville, Jérôme
   Mairet, Francis
AS 1:1;2:1;3:2;4:3;
FF 1:;2:;3:;4:PDG-ODE-PHYTOX-PHYSALG;
C1 Avignon Université, Laboratoire de Mathématiques d'Avignon (EA 2151) F-84018 France
   UR 546 Biostatistique et Processus Spatiaux, INRAE, Domaine St Paul Site Agroparc, F-84000 Avignon, France
   Ifremer, Physiology and Biotechnology of Algae laboratory, rue de l'Ile d'Yeu, 44311 Nantes, France
C2 UNIV AVIGNON, FRANCE
   INRAE, FRANCE
   IFREMER, FRANCE
SI NANTES
SE PDG-ODE-PHYTOX-PHYSALG
IN WOS Ifremer UPR
   copubli-france
   copubli-p187
   copubli-univ-france
TC 0
UR https://archimer.ifremer.fr/doc/00794/90599/96169.pdf
LA English
DT Article
DE ;Optimal control;Pontryagin maximum principle;singular arcs;chemostat system;dynamical system;global stability
AB In this work, we study the problem of maximizing microbial production within a continuous stirred-tank reactor with n ≥ 1 species and one substrate. The interaction between species is described by the chemostat system including a mutation factor. The optimization problem falls into an optimal control problem of Lagrange type in which the control parameter is the dilution rate of the reactor. Thanks to the Pontryagin Maximum Principle, we obtain necessary conditions on optimal controls that involve a singular arc. These computations are highlighted thanks to numerical simulations via a direct method. We also study the related optimization problem at steady-state which provides an insight into optimal solutions of the optimal control problem in terms of turnpike phenomenon.   
PY 2022
SO Ifac Papersonline
SN 2405-8963
PU Elsevier BV
VL 55
IS 16
UT 000855235100035
BP 208
EP 213
DI 10.1016/j.ifacol.2022.09.025
ID 90599
ER

EF