Estimation of state and unknown inputs of a non linear system represented by a multiple model

Abdelkader Akhenak (1) , Mohammed Chadli (1) , José Ragot (1) , Didier Maquin (1)

1 CRAN - Centre de Recherche en Automatique de Nancy

In this paper, we consider a nonlinear system represented by a multiple model, where a part of its inputs is unknown. Our objective is to estimate the state variables and the unknown inputs of this system. For that, we propose the synthesis of a multiple observer based on the elimination of these unknown inputs. It is shown how to determine the gains of the local observers, these gains being solutions of a set of linear matrix inequalities (LMI). The model of an hydraulic system with three tanks is used to test the suggested procedure.

Keywords: Nonlinear system; unknown inputs; multiple model approach; multiple observer; asymptotic stability; linear matrix inequality

Domains: Automatic

Abdelkader Akhenak, Mohammed Chadli, José Ragot, Didier Maquin. Estimation of state and unknown inputs of a non linear system represented by a multiple model. 11th IFAC Symposium on Automation in Mining, Mineral and Metal processing, MMM 2004, Sep 2004, Nancy, France. pp.CDROM. ⟨hal-00151292⟩