# Minimal time control of fed-batch processes with growth functions having several maxima

Source: [Minimal time control of fed-batch processes with growth functions having several maxima](<https://www.sota2.com/research/paper/68fa4eef1e209131ce95f728>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-10-28T13:55:22.156Z

Authors: Alain Rapaport, Denis Dochain

Published: 2010-10-24T05:30:13.000Z

## Abstract

We address the issue of minimal time optimal control of fedbatch reactor in presence of complex non monotonic kinetics, that can be typically characterized by the combination of two Haldane models. The optimal synthesis may present several singular arcs. Global optimal trajectory results are provided on the basis of a numerical approach that considers an approximation method with smooth control inputs.

## Recorded benchmark results

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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/1010.4930>)

[PDF](<https://arxiv.org/pdf/1010.4930.pdf>)