Open AccessA Geometrical Approach for the Optimal Control of Sequencing Batch Bio-Reactors
Author(s) -
Nahla Abdellatif,
Walid Bouhafs,
Jérôme Harmand,
Frédéric Jean
Publication year - 2020
Publication title -
statistics, optimization and information computing
Language(s) - English
Resource type - Journals
eISSN - 2311-004X
pISSN - 2310-5070
DOI - 10.19139/soic-2310-5070-868
Subject(s) - pontryagin's minimum principle , optimal control , sequencing batch reactor , mathematical optimization , biochemical engineering , computer science , control (management) , work (physics) , wastewater , control theory (sociology) , mathematics , engineering , waste management , artificial intelligence , mechanical engineering
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.