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On Adaptive Estimation of Bacterial Growth in the Competitive Chemostat

Alex dos Reis de Souza 1, * Jean-Luc Gouzé 2 Andrey Polyakov 1 Denis Efimov 3
* 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 , INRA - Institut National de la Recherche Agronomique, LOV - Laboratoire d'océanographie de Villefranche
Abstract : In this paper, the problem of state estimation of a bioreactor containing a single substrate and several competing species is studied. This scenario is well-known as a competition model, in which multiple species compete for the same nutrient. The goal is to estimate concentrations of the substrate and all species, considering the concentration of total biomass as measurement. To address such a challenge, the estimation scheme relies in the coupling of two estimation techniques: an asymptotic observer, which takes advantage of the model structure being independent of its kinetics, and a finite-time parameter estimation technique, which also drops the usual requirement of persistence of excitation.
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Submitted on : Tuesday, December 17, 2019 - 3:45:57 PM
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Alex dos Reis de Souza, Jean-Luc Gouzé, Andrey Polyakov, Denis Efimov. On Adaptive Estimation of Bacterial Growth in the Competitive Chemostat. 8. International-Federation-of-Automatic-Control (IFAC) Symposium on Mechatronic Systems (MECHATRONICS) / 11. International-Federation-of-Automatic-Control (IFAC) Symposium on Nonlinear Control Systems (NOLCOS), Sep 2019, Vienne, Austria. ⟨10.1016/j.ifacol.2019.11.789⟩. ⟨hal-02416265⟩

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