Near optimal interval observers bundle for uncertain bioreactors

Marcelo Moisan 1 Olivier Bernard 2, 1 Jean-Luc Gouzé 1
1 BIOCORE - Biological control of artificial ecosystems
LOV - Laboratoire d'océanographie de Villefranche, CRISAM - Inria Sophia Antipolis - Méditerranée , INRA - Institut National de la Recherche Agronomique
Abstract : In this paper we design an interval observer for the estimation of unmeasured variables of uncertain bioreactors. The observer is based on a bounded error observer, as proposed in [Lemesle, V., & Gouzé, J.-L. (2005). Hybrid bounded error observers for uncertain bioreactor models. Bioprocess and Biosystems Engineering, 27, 311–318], that makes use of a loose approximation of the bacterial kinetics. We first show how to generate guaranteed upper and lower bounds on the state, provided that known intervals for the initial condition and the uncertainties are available. These so-called framers depend on a tuning gain. They can be run in parallel and the envelope provides the best estimate. An optimality criterion is introduced leading to the definition of an optimal observer. We show that this criterion provides directly a gain set containing the best framers. The method is applied to the estimation of the total biomass of an industrial wastewater treatment plant, demonstrating its efficiency.
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Submitted on : Monday, January 26, 2015 - 11:41:20 AM
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Marcelo Moisan, Olivier Bernard, Jean-Luc Gouzé. Near optimal interval observers bundle for uncertain bioreactors. Automatica, Elsevier, 2009, 45 (1), pp.291-295. ⟨10.1016/j.automatica.2008.07.006⟩. ⟨hal-01109396⟩



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