title: Design, analysis and validation of a simple dynamic model of a submerged membrane bioreactor.
abstract: In this study, a simple dynamic model of a submerged membrane bioreactor (sMBR) is proposed, which would be suitable for process control. In order to validate the proposed model structure, informative data sets are generated using a detailed simulator built in a well-established environment, namely GPS-X. The model properties are studied, including equilibrium points, stability, and slow/fast dynamics (three different time scales). The existence of slow-fast dynamics is central to the development of a dedicated parameter estimation procedure. Finally, a nonlinear model predictive control is designed to illustrate the potential of the developed model within a model-based control structure. The problem of water treatment in a recirculating aquaculture system is considered as an application example.
authors.affiliation: University of Mons - Automatic Control Laboratory - Biosys, Boulevard Dolez 31, 7000 Mons, Belgium; Equipe Projet INRA-INRIA MODEMIC, Route des Lucioles, 06902 Sophia-Antipolis, France; UMR INRA-SupAgro MISTEA, 2 Place Viala, 34060 Montpellier, France. Electronic address: guilherme.araujopimentel@umons.ac.be.
authors.forename: Guilherme A
authors.initials: GA
authors.lastname: Pimentel
authors.affiliation: University of Mons - Automatic Control Laboratory - Biosys, Boulevard Dolez 31, 7000 Mons, Belgium. Electronic address: alain.vandewouwer@umons.ac.be.
authors.forename: Alain
authors.initials: A
authors.lastname: Vande Wouwer
authors.affiliation: Equipe Projet INRA-INRIA MODEMIC, Route des Lucioles, 06902 Sophia-Antipolis, France; INRA, UR050, Laboratoire de Biotechnologie de l'Environnement, Av. des Etangs, F-11100 Narbonne, France. Electronic address: jerome.harmand@supagro.inra.fr.
authors.forename: Jérôme
authors.initials: J
authors.lastname: Harmand
authors.affiliation: Equipe Projet INRA-INRIA MODEMIC, Route des Lucioles, 06902 Sophia-Antipolis, France; UMR INRA-SupAgro MISTEA, 2 Place Viala, 34060 Montpellier, France. Electronic address: rapaport@supagro.inra.fr.
authors.forename: Alain
authors.initials: A
authors.lastname: Rapaport
mesh_terms: D019149:Bioreactors; D004867:Equipment Design; D008567:Membranes, Artificial; D008962:Models, Theoretical
chemical_list: D008567:Membranes, Artificial
keywords: Mathematical modeling; Model-based control; Parameter estimation; Recirculating aquaculture system; Singular perturbation