A Geometrical Approach for the Optimal Control of Sequencing Batch Bio-Reactors

  • Nahla Abdellatif Manouba University， Tunis El Manar University
  • Walid Bouhafs Tunis El Manar University，Jendouba University
  • Jérôme Harmand Montpellier University
  • Frédéric Jean Paris-Saclay University
DOI: https://doi.org/10.19139/soic-2310-5070-868
Keywords: Sequencing batch reactor (SBR), Optimal control, Minimal time problem, Pontryagin's Maximum Principle, Optimal synthesis.

Abstract

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.

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Published
2020-09-26
How to Cite
Abdellatif, N., Bouhafs, W., Harmand, J., & Jean, F. (2020). A Geometrical Approach for the Optimal Control of Sequencing Batch Bio-Reactors. Statistics, Optimization & Information Computing, 9(2), 368-382. https://doi.org/10.19139/soic-2310-5070-868
Issue
Vol 9 No 2 (2021)
Section
Research Articles
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