TY - JOUR
AU - Nahla Abdellatif
AU - Walid Bouhafs
AU - Jérôme Harmand
AU - Frédéric Jean
PY - 2020/09/26
Y2 - 2024/04/21
TI - A Geometrical Approach for the Optimal Control of Sequencing Batch Bio-Reactors
JF - Statistics, Optimization & Information Computing
JA - Stat., optim. inf. comput.
VL - 9
IS - 2
SE - Research Articles
DO - 10.19139/soic-2310-5070-868
UR - http://www.iapress.org/index.php/soic/article/view/868
AB - In this work, we consider an optimal control problem of a biological sequencing batch reactor (SBR) for thetreatment 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.
ER -