Tools for improving feeding strategies in a SBR with several species

Abstract : This paper analyzes feeding strategies in a sequential batch reactor (SBR) with the objective of reaching a given (low) substrate level as quickly as possible for a given volume of water. Inside the SBR, several species compete for a single substrate, which leads to a minimal time control problem in which the control variable is the feeding rate. Following [10], we allow the control variable to be a bounded measurable function of time combined with possible impulses associated with instantaneous dilutions. For this problem, the ex-tremal trajectories of the singular arc type are characterized as the strategies used to maintain the substrate at a constant level. Because this optimization problem is difficult to solve, this characterization provides a valuable tool for investigating the optimality of various feeding strategies. Our aim is thus to illustrate the use of this tool by proposing potential optimal feeding strate-gies, which may then be compared with other more intuitive strategies. This aim was accomplished via several numerical experiments in which two specific strategies are compared.
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Bioprocess and Biosystems Engineering, Springer Verlag, 2014, 37 (1), pp.63 - 70. 〈10.1007/s00449-013-1077-1〉
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Pedro Gajardo, Hector Ramirez Cabrera, Julio C. Rodriguez. Tools for improving feeding strategies in a SBR with several species. Bioprocess and Biosystems Engineering, Springer Verlag, 2014, 37 (1), pp.63 - 70. 〈10.1007/s00449-013-1077-1〉. 〈hal-01089424〉

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