Design of a Cascade Observer for a Model of Bacterial Batch Culture with Nutrient Recycling

Alain Rapaport 1, 2 Miled El Hajji 3
2 MERE - Water Resource Modeling
CRISAM - Inria Sophia Antipolis - Méditerranée , INRA - Institut National de la Recherche Agronomique : UMR0729
Abstract : A mathematical model of microbial growth on a single limited substrate in batch culture is proposed as an extension of the Monod's one. This model takes into account cell mortality, non-viable cell accumulation and cell recycling. We consider that only substrate concentration and total biomass are measured on-line. The parameters of the model are not identifiable at steady state, but we propose a design of an observer that reconstructs both parameters and state variable with a practical convergence, from any initial condition away from the equilibrium. The observer is build as a coupling of two non-linear observers in cascade with different time scales.
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Submitted on : Monday, September 9, 2013 - 9:17:56 AM
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Alain Rapaport, Miled El Hajji. Design of a Cascade Observer for a Model of Bacterial Batch Culture with Nutrient Recycling. 11th International Symposium on Computer Applications in Biotechnology (CAB 2010), Jul 2010, Leuven, Belgium. 6 p., ⟨10.3182/20100707-3-BE-2012.0038⟩. ⟨hal-00859562⟩

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