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

Alain Rapaport (1, 2) , Denis Dochain (3)

1 MISTEA - Mathématiques, Informatique et STatistique pour l'Environnement et l'Agronomie
2 MODEMIC - Modelling and Optimisation of the Dynamics of Ecosystems with MICro-organisme
3 CESAME - Centre for systems engineering and applied mechanics [Louvain]

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.

Mots clés: singular arcs; Fedbatch reactors; minimal time problem; singular arcs.

Domaines: Optimisation et contrôle [math.OC]; Biotechnologies; Biotechnologie

Alain Rapaport, Denis Dochain. Minimal time control of fed-batch processes with growth functions having several maxima. IEEE Transactions on Automatic Control, 2011, 56 (11), pp.2671 - 2676. ⟨10.1109/TAC.2011.2159424⟩. ⟨hal-00529001⟩