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On-line optimization of fedbatch bioreactors by adaptive extremum seeking control
Authors:Pascal Cougnon  Denis Dochain  Martin Guay  Michel Perrier
Affiliation:aCESAME, Université catholique de Louvain, 4-6 avenue G. Lemaître, 1348 Louvain-la-Neuve, Belgium;bDepartment of Chemical Engineering, Queen's University, Kingston K7L 3N6, Ontario, Canada;cDépartement de Génie chimique, Ecole Polytechnique de Montréal, CP 6079, Succursale “Centre Ville”, Montréal H3C 3A7, Canada
Abstract:In this paper, we present an adaptive extremum seeking control scheme for fed-batch bioreactors with Haldane kinetics. The proposed adaptive extremum seeking approach utilizes the structure information of the process kinetics to derive a seeking algorithm that drives the system states to the desired setpoints that maximize the biomass production. It assumes that only the substrate concentration is available for on-line measurement. Lyapunov stability is used in the design of the extremum seeking controller structure and the development of the parameter learning laws. The performance of the approach is illustrated via numerical simulations.
Keywords:Fedbatch reactors   On-line optimization   Adaptive extremum seeking control
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