Time-optimal control of concentration changes in the chemostat with one single species |
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Institution: | 1. Institut Montpelliérain Alexander Grothendieck, University of Montpellier, France;2. INRA, UR0050, Laboratoire de Biotechnologie de l’Environnement, Narbonne 11100, France;3. Dep. Mat., Universidad Tecnica Federico Santa Maria, Avda Espana 1680, Valparaiso, Chile |
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Abstract: | We consider the problem of driving in minimal time a system describing a chemostat model to a target point. This problem finds applications typically in the case where the input substrate concentration changes yielding in a new steady state. One essential feature is that the system takes into account a recirculation of biomass effect. We depict an optimal synthesis and provide an optimal feedback control of the problem by using Pontryagin’s Principle and geometric control theory for a large class of kinetics. |
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