Walid Bouafs ; Nahla Abdellatif ; Frédéric Jean ; Harmand Jérôme - Commande optimale en temps minimal d'un procédé biologique d'épuration de l'eau

arima:1978 - Revue Africaine de Recherche en Informatique et Mathématiques Appliquées, August 26, 2014, Volume 18, 2014 - https://doi.org/10.46298/arima.1978
Commande optimale en temps minimal d'un procédé biologique d'épuration de l'eauArticle

Authors: Walid Bouafs 1; Nahla Abdellatif 1,2; Frédéric Jean ORCID3; Harmand Jérôme ORCID4,5

  • 1 Laboratoire de Modélisation Mathématique et Numérique dans les Sciences de l'Ingénieur [Tunis]
  • 2 École Nationale des Sciences de l'Informatique [Manouba]
  • 3 Optimisation et commande
  • 4 Laboratoire de Biotechnologie de l'Environnement [Narbonne]
  • 5 Modelling and Optimisation of the Dynamics of Ecosystems with MICro-organisme

In this work, we consider an optimal control problem of a biological sequencing batch reactor for the treatment of pollutants. This model includes two biological reactions, one being aerobic while the other is anoxic. We are first interested in a problem of optimal control in time and then, in both time and energy. The existence of the optimal trajectories is proven and the corresponding optimal controls are derived in each case.


Volume: Volume 18, 2014
Published on: August 26, 2014
Submitted on: February 20, 2014
Keywords: Optimal control, sequencing batch reactor, water treatment.,[INFO] Computer Science [cs],[MATH] Mathematics [math]

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