Model structure simplification of a biological reactor

Anca Maria Nagy (1) , Gilles Mourot (1) , Benoît Marx (1) , Georges Schutz (2) , José Ragot (1)

1 CRAN - Centre de Recherche en Automatique de Nancy
2 LTI - Laboratoire des Technologies Industrielles et Matériaux

This article proposes an analytical method for decomposing a dynamic nonlinear system into a multiple model form in order to reduce its complexity and to study more easily identification, stability analysis and controller design problems. The majority of existing methods are order reduction based techniques, which come with an information loss of the initial system, whereas the method proposed here avoids this particular loss. The multiple model constitutes an efficient tool to represent nonlinear systems. These are decomposed into several linear time invariant systems (LTI) which are weighted and aggregated that allows to benefit from important analysis tools. This method is applied to a simplified activated sludge reactor model.

Mots clés: dynamic modeling; reduction; weighting functions; subsystems; wastewater treatment

Domaines: Automatique

Anca Maria Nagy, Gilles Mourot, Benoît Marx, Georges Schutz, José Ragot. Model structure simplification of a biological reactor. 16th IFAC Symposium on System Identification, SYSID'09, Jul 2009, Saint Malo, France. pp.CDROM. ⟨hal-00977525⟩