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Robust Stabilization of Competing Species in the Chemostat

Alex dos Reis de Souza 1, * Denis Efimov 1 Andrey Polyakov 1 Jean-Luc Gouzé 2
* Corresponding author
1 VALSE - Finite-time control and estimation for distributed systems
Inria Lille - Nord Europe, CRIStAL - Centre de Recherche en Informatique, Signal et Automatique de Lille - UMR 9189
2 BIOCORE - Biological control of artificial ecosystems
CRISAM - Inria Sophia Antipolis - Méditerranée , LOV - Laboratoire d'océanographie de Villefranche, INRAE - Institut National de Recherche pour l’Agriculture, l’Alimentation et l’Environnement
Abstract : This work addresses the problem of robust stabilization of the concentrations of two different species of living organisms, which compete for a single limiting substrate in a bioreactor. This stabilization is performed using discontinuous feedback control laws that ensure the coexistence of all species. The control laws are designed considering bounded parametric uncertainties on the kinetic rates.
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Alex dos Reis de Souza, Denis Efimov, Andrey Polyakov, Jean-Luc Gouzé. Robust Stabilization of Competing Species in the Chemostat. Journal of Process Control, Elsevier, 2020, 87, pp.138-146. ⟨10.1016/j.jprocont.2020.01.010⟩. ⟨hal-02462162⟩

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