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Robust control for an uncertain chemostat model

Jean-Luc Gouzé 1 Gonzalo Robledo
1 COMORE - Modeling and control of renewable resources
LOV - Laboratoire d'océanographie de Villefranche, CRISAM - Inria Sophia Antipolis - Méditerranée
Abstract : In this paper we consider a control problem for an uncertain chemostat model with a general monotone growth function. This uncertainty affects the model (growth function) as well as the outputs (measurements of substrate). Despite this lack of information, an upper bound and a lower bound for those uncertainties are assumed to be known a priori. We are able to build a family of feedback control laws on the dilution rate, giving a guaranteed estimation on the unmeasured variable (biomass), and stabilizing asymptotically the two variables in a rectangular set, around a reference value of the substrate. This could be implemented in a real chemostat, keeping a high level of substrate, avoiding the washout of the bioreactor.
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Submitted on : Friday, May 19, 2006 - 9:17:08 PM
Last modification on : Tuesday, December 14, 2021 - 3:17:11 AM
Long-term archiving on: : Sunday, April 4, 2010 - 9:45:20 PM

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  • HAL Id : inria-00070705, version 1

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Jean-Luc Gouzé, Gonzalo Robledo. Robust control for an uncertain chemostat model. RR-5295, INRIA. 2004, pp.16. ⟨inria-00070705⟩

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