State and unknown input estimation for discrete time multiple model

Mohammed Chadli (1) , Abdelkader Akhenak (2) , José Ragot (3) , Didier Maquin (3)

1 MIS - Modélisation, Information et Systèmes - UR UPJV 4290
2 IRSEEM - Institut de Recherche en Systèmes Electroniques Embarqués
3 CRAN - Centre de Recherche en Automatique de Nancy

This paper deals with the state estimation of nonlinear discrete systems described by a multiple model with unknown inputs. The main goal concerns the simultaneous estimation of the system's state and the unknown inputs. This goal is achieved through the design of a multiple observer based on the elimination of the unknown inputs. It is shown that the observer gains are solutions of a set of linear matrix inequalities. After that, an unknown input estimation method is proposed. An academic example and an application dealing with message decoding illustrate the effectiveness of the proposed multiple observer.

Keywords: Discrete multiple model; Unknown input observer; State estimation; Lyapunov method; Linear matrix inequalities (LMI)

Domains: Automatic

Mohammed Chadli, Abdelkader Akhenak, José Ragot, Didier Maquin. State and unknown input estimation for discrete time multiple model. Journal of The Franklin Institute, 2009, 346 (6), pp.593-610. ⟨10.1016/j.jfranklin.2009.02.011⟩. ⟨hal-00377746⟩