TY - JOUR
T1 - A Geometrical Approach for the Optimal Control of Sequencing Batch Bio-Reactors
AU - Abdellatif, N.
AU - Bouhafs, W.
AU - Harmand, J.
AU - Jean, F.
N1 - Publisher Copyright:
© 2021. International Academic Press. All Rights Reserved.
PY - 2021/1/1
Y1 - 2021/1/1
N2 - In this work, we consider an optimal control problem of a biological sequencing batch reactor (SBR) for the 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.
AB - In this work, we consider an optimal control problem of a biological sequencing batch reactor (SBR) for the 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.
KW - Minimal time problem
KW - Optimal control
KW - Optimal synthesis
KW - Pontryagin's Maximum Principle
KW - Sequencing batch reactor (SBR)
U2 - 10.19139/soic-2310-5070-868
DO - 10.19139/soic-2310-5070-868
M3 - Article
AN - SCOPUS:85107679144
SN - 2311-004X
VL - 9
SP - 368
EP - 382
JO - Statistics, Optimization and Information Computing
JF - Statistics, Optimization and Information Computing
IS - 2
ER -