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Adaptive extremum seeking control of continuous stirred tank bioreactors with unknown growth kinetics
Authors:M. Guay [Author Vitae]  D. Dochain [Author Vitae]
Affiliation:a Department of Chemical Engineering, Queen's University, Kingston, Ont., Canada K7L 3N6
b CESAME, Université Catholique de Louvain, Belgium
c Département de Chimique, Ecole Polytechnique de Montréal, Montréal, PQ, Canada
Abstract:In this paper, we present an adaptive extremum seeking control scheme for continuous stirred tank bioreactors. We assume limited knowledge of the growth kinetics. An adaptive learning technique is introduced to construct a seeking algorithm that drives the system states to the desired set-points that maximize the value of an objective function. Lyapunov's stability theorem is used in the design of the extremum seeking controller structure and the development of the parameter learning laws. Simulation results are given to show the effectiveness of the proposed approach.
Keywords:Extremum seeking   Lyapunov function   Adaptive learning   Persistence of excitation
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