(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
Abstract
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.
