Title: On the design of observer for unknown inputs fuzzy models

Authors: Mohammed Chadli, Abdelkader Akhenak, Jose Ragot, Dider Maquin

Addresses: University of Picardie Jules Verne Laboratoire de Modelisation, Information et Systemes (MIS), 7, rue du Moulin Neuf, Amiens 80000, France. ' Institut de Recherche en systemes electroniques embarques Technopole du Madrillet, Avenue Gallilet, BP 10024 76801 Saint Etienne du Rouvray Cedex, France. ' Institut National Polytechnique de Lorraine, CRAN, UMR 7039 CNRS-UHP-INPL, 2, Avenue de la foret de Haye, Vandoeuvre-les-Nancy 54516, France. ' Institut National Polytechnique de Lorraine, CRAN, UMR 7039 CNRS-UHP-INPL, 2, Avenue de la foret de Haye, Vandoeuvre-les-Nancy 54516, France

Abstract: 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.

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

DOI: 10.1504/IJAAC.2008.020423

International Journal of Automation and Control, 2008 Vol.2 No.1, pp.113 - 125

Published online: 24 Sep 2008 *

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