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Systematic multimodeling methodology applied to an activated sludge reactor model

Abstract : In this article, an analytical method is used to obtain multiple model (MM) forms strictly equivalent to a given nonlinear model. The proposed method induces no information loss, contrary to existing order reduction methods. Several MMs formally equivalent to the initial model may be obtained, due to the intermediate quasi-LPV forms. Thus some criteria are given, using the linear matrix inequality (LMI) formulation, in order to chose the most suitable MM for analysis or control purpose. This method is applied to an activated sludge reactor model.
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https://hal.archives-ouvertes.fr/hal-00978069
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Anca Maria Nagy, Gilles Mourot, Benoît Marx, José Ragot, Georges Schutz. Systematic multimodeling methodology applied to an activated sludge reactor model. Industrial and engineering chemistry research, American Chemical Society, 2010, 49 (6), pp.2790-2799. ⟨10.1021/ie8017687⟩. ⟨hal-00978069⟩

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