Fed-batch bioreactor with mortality rate - Inria - Institut national de recherche en sciences et technologies du numérique Access content directly
Conference Papers Year : 2013

Fed-batch bioreactor with mortality rate


We address the problem of finding an optimal feedback control for feeding a fed-batchbioreactor with one species and one substrate, from a given initial condition to a given targetvalue in a minimal amount of time. Mortality rate for the biomass and nutrient recycling are taken into account in this work. The optimal synthesis (optimal feeding strategy) has been obtained by Moreno in 1999 when both mortality and recycling are considered negligible, in the case of Monod and Haldane growth function. Our objective is to study the effect of mortalityand recycling on the optimal synthesis. We provide an optimal synthesis of the problem usingPontryagin maximum principle, which extends the result of Moreno in the impulsive frameworkwith mortality and recycling effect.

Dates and versions

hal-00850367 , version 1 (06-08-2013)



Térence Bayen, Francis Mairet, Marc Mazade. Fed-batch bioreactor with mortality rate. 9th IFAC Symposium on Nonlinear Control Systems (NOLCOS), Sep 2013, Toulouse, France. pp.158-163, ⟨10.3182/20130904-3-FR-2041.00024⟩. ⟨hal-00850367⟩
390 View
0 Download



Gmail Facebook X LinkedIn More