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

Frédéric Mazenc 1, 2 Jérôme Harmand 3, 4 Hugues Mounier 2 
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 asymptotically stabilizing an equilibrium point of this system in the case where the measured concentrations are delayed and piecewise constant with a piecewise constant control is addressed.
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Submitted on : Monday, May 20, 2013 - 10:09:00 AM
Last modification on : Tuesday, October 25, 2022 - 4:23:05 PM
Long-term archiving on: : Tuesday, April 4, 2017 - 8:34:13 AM


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  • HAL Id : hal-00823970, version 1
  • PRODINRA : 315902


Frédéric Mazenc, Jérôme Harmand, Hugues Mounier. Global stabilization of the chemostat with delayed and sampled measurements and control. 9th IFAC Symposium on Nonlinear Control Systems (NOLCOS 2013), Sep 2013, Toulouse, France. ⟨hal-00823970⟩



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