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Global stabilization of the chemostat with elayed and sampled measurements and control

Frédéric Mazenc 1 Jérôme Harmand 2, 3 Hugues Mounier 4 
1 DISCO - Dynamical Interconnected Systems in COmplex Environments
L2S - Laboratoire des signaux et systèmes, Inria Saclay - Ile de France
3 MODEMIC - Modelling and Optimisation of the Dynamics of Ecosystems with MICro-organisme
CRISAM - Inria Sophia Antipolis - Méditerranée , MISTEA - Mathématiques, Informatique et STatistique pour l'Environnement et l'Agronomie
Abstract : The classical model of the chemostat with one substrate, one species and a Haldane type growth rate function is considered. The input substrate concentration is supposed to be constant and the dilution rate is considered as the control. The problem of globally asymptotically stabilizing a positive equilibrium point of this system in the case where the measured concentrations are delayed and piecewise constant with a piecewise constant control is addressed. The result relies on the introduction of a dynamic extension of a new type.
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https://hal.inrae.fr/hal-02747740
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Submitted on : Wednesday, June 3, 2020 - 12:17:56 PM
Last modification on : Wednesday, September 28, 2022 - 3:13:31 PM

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Frédéric Mazenc, Jérôme Harmand, Hugues Mounier. Global stabilization of the chemostat with elayed and sampled measurements and control. 9. IFAC Symposium on Nonlinear Control Systems, Sep 2013, Toulouse, France. pp.170-174, ⟨10.3182/20130904-3-FR-2041.00049⟩. ⟨hal-02747740⟩

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