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First Results of Optimal Control of Average Biogas Production for the Chemostat Over an Infinite Horizon

Authors :
Antoine Haddon
Alain Rapaport
Héctor Ramírez
Mathématiques, Informatique et STatistique pour l'Environnement et l'Agronomie (MISTEA)
Institut national d’études supérieures agronomiques de Montpellier (Montpellier SupAgro)-Institut National de la Recherche Agronomique (INRA)
Departamento de Ingeniera Matematica [Santiago] (DIM)
Universidad de Santiago de Chile [Santiago] (USACH)
Departamento de Ingeniería Matemática [Santiago] (DIM)
University of Chile [Santiago]-Centre National de la Recherche Scientifique (CNRS)
IFAC
Institut National de la Recherche Agronomique (INRA)-Institut national d’études supérieures agronomiques de Montpellier (Montpellier SupAgro)
Institut national d'enseignement supérieur pour l'agriculture, l'alimentation et l'environnement (Institut Agro)-Institut national d'enseignement supérieur pour l'agriculture, l'alimentation et l'environnement (Institut Agro)
Universidad de Chile = University of Chile [Santiago] (UCHILE)-Centre National de la Recherche Scientifique (CNRS)
CONICYT-Chile grant REDES : 150011
CONICYT-Chile under FONDECYT : 1160567
BASAL project (Centro de Modelamiento Matematico, Universidad de Chile)
CONICYT-PFCHA/Doctorado Nacional : 2017-21170249
LabEx NUMEV : AAP2017-2-08
Source :
IFAC International Conference on Mathematical Modelling-MATHMOD 2018, IFAC International Conference on Mathematical Modelling-MATHMOD 2018, Feb 2018, Vienna, Austria. pp.725-729, ⟨10.1016/j.ifacol.2018.03.123⟩, IFAC-Papers, Mathematical Modelling-9th MATHMOD 2018. (52, 2)2018; 9. IFAC International Conference on Mathematical Modelling : MATHMOD 2018, Vienna, AUT, 2018-02-21-2018-02-23, 725-729
Publication Year :
2018
Publisher :
HAL CCSD, 2018.

Abstract

International audience; In this work we study the optimal control problem of maximizing the average biogas production over an infnite horizon. We consider a large class of growth rate functions that depend on substrate and biomass concentrations and we solve this problem for the chemostat model. The obtained optimal control is a autonomous state feedback.

Subjects

Subjects :
Large class
0209 industrial biotechnology
Work (thermodynamics)
Mathematical optimization
[SDV.BIO]Life Sciences [q-bio]/Biotechnology
0211 other engineering and technologies
Biomass
feedback
Biotechnologies
02 engineering and technology
Chemostat
optimal control
infinite horizon
biogas production
chemostat
020901 industrial engineering & automation
contrôle optimal
Optimization and Control
horizon infini
biogas
Optimisation et contrôle
Growth rate
Mathematics
Biogas production
021103 operations research
biogaz
Optimal control
Control and Systems Engineering
Infinite horizon
[MATH.MATH-OC]Mathematics [math]/Optimization and Control [math.OC]

Details

Language :
English
Database :
OpenAIRE
Journal :
IFAC International Conference on Mathematical Modelling-MATHMOD 2018, IFAC International Conference on Mathematical Modelling-MATHMOD 2018, Feb 2018, Vienna, Austria. pp.725-729, ⟨10.1016/j.ifacol.2018.03.123⟩, IFAC-Papers, Mathematical Modelling-9th MATHMOD 2018. (52, 2)2018; 9. IFAC International Conference on Mathematical Modelling : MATHMOD 2018, Vienna, AUT, 2018-02-21-2018-02-23, 725-729
Accession number :
edsair.doi.dedup.....af3864c103dcd958f0fd534f19a1a7e2

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