@article{Abdellatif_Bouhafs_Harmand_Jean_2020, title={A Geometrical Approach for the Optimal Control of Sequencing Batch Bio-Reactors}, volume={9}, url={http://www.iapress.org/index.php/soic/article/view/868}, DOI={10.19139/soic-2310-5070-868}, abstractNote={<p>In this work, we consider an optimal control problem of a biological sequencing batch reactor (SBR) for the<br>treatment of pollutants in wastewater. This model includes two biological reactions, one being aerobic while the other is anoxic. The objective is to find an optimal oxygen-injecting strategy to reach, in minimal time and in a minimal time/energy compromise, a target where the pollutants concentrations must fulfill normative constraints. Using a geometrical approach, we solve a more general optimal control problem and thanks to Pontryagin’s Maximum Principle, we explicitly give the complete optimal strategy.</p>}, number={2}, journal={Statistics, Optimization & Information Computing}, author={Abdellatif, Nahla and Bouhafs, Walid and Harmand, Jérôme and Jean, Frédéric}, year={2020}, month={Sep.}, pages={368-382} }