Output feedback adaptive extremum seeking control of a continuous stirred tank bioreactor with Monod's kinetics |
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Authors: | N. I. Marcos M. Guay D. Dochain |
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Affiliation: | a Department of Chemical Engineering, Queen's University, Kingston, Ont., Canada K7L 3N6;b CESAME, Université Catholique de Louvain, B-1348, Louvain-la-Nueve, Belgium |
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Abstract: | An adaptive extremum seeking controller is presented for the optimization of the production rate of a continuous stirred tank bioreactor with Monod's kinetics. This controller is saturated outside a domain of interest and a reduced-order observer is designed to estimate the substrate concentration in the bioreactor. It is shown that once a persistence of excitation condition is satisfied, the convergence of the parameter estimates to their true values is guaranteed. Semi-global asymptotic stability for the output feedback closed-loop system is proved based on Lyapunov's theorem. Simulation results are shown to illustrate the performance of the proposed approach. |
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Keywords: | Adaptive extremum seeking control Persistence of excitation Output feedback |
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