Control of a Bioreactor with Quantized Measurements

1 BIOCORE - Biological control of artificial ecosystems
LOV - Laboratoire d'océanographie de Villefranche, CRISAM - Inria Sophia Antipolis - Méditerranée , INRA - Institut National de la Recherche Agronomique
Abstract : We consider the problem of global stabilization of an unstable bioreactor model (e.g. for anaerobic digestion), when the measurements are discrete and in finite number (quantized''), with control of the dilution rate. The model is a differential system with two variables, and the output is the biomass growth. The measurements define regions in the state space, and they can be perfect or uncertain (i.e. without or with overlaps). We show that a quantized control may lead to global stabilization: trajectories have to follow some transitions between the regions, until the final region where they converge toward the reference equilibrium. On the boundary between regions, the solutions are defined as a Filippov differential inclusion.
Type de document :
Chapitre d'ouvrage
Fages, François and Piazza, Carla. Formal Methods in Macro-Biology, 8738, Springer International Publishing, pp.47-62, 2014, Lecture Notes in Computer Science, 〈10.1007/978-3-319-10398-3_5〉
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https://hal.inria.fr/hal-01092328
Contributeur : Jean-Luc Gouzé <>
Soumis le : lundi 15 décembre 2014 - 19:12:25
Dernière modification le : jeudi 11 janvier 2018 - 16:41:49
Document(s) archivé(s) le : lundi 16 mars 2015 - 12:45:27

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Francis Mairet, Jean-Luc Gouzé. Control of a Bioreactor with Quantized Measurements. Fages, François and Piazza, Carla. Formal Methods in Macro-Biology, 8738, Springer International Publishing, pp.47-62, 2014, Lecture Notes in Computer Science, 〈10.1007/978-3-319-10398-3_5〉. 〈hal-01092328〉

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