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Conference Papers Year : 2013

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

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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Dates and versions

hal-02747740 , version 1 (03-06-2020)

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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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