On the design of observer for unknown inputs fuzzy models

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

In this paper, we consider the design of an fuzzy observer for a non-linear system with unknown inputs described by a fuzzy model. The main objective is to estimate state variables of the fuzzy model subject to unknown inputs which influence states and outputs of the system simultaneously. Using the Lyapunov method and Linear Matrix Inequalities (LMI), sufficient conditions are proposed to design the proposed unknown input fuzzy observer. The pole placement in an LMI region is also considered. The validity of the proposed methodology is illustrated by an academic example.

Mots clés: fuzzy modelling; unknown inputs; state estimation; Lyapunov method; linear matrix inequalities; LMI; observer design; fuzzy observers; state variables; pole placement

Domaines: Automatique / Robotique

Mohammed Chadli, Abdelkader Akhenak, José Ragot, Didier Maquin. On the design of observer for unknown inputs fuzzy models. International Journal of Automation and Control, 2008, 2 (1), pp.113-125. ⟨10.1504/IJAAC.2008.020423⟩. ⟨hal-00325231⟩