Fault Tolerant Control Design For Polytopic LPV Systems

  • Authors:
  • Mickael Rodrigues;Didier Theilliol;Samir Aberkane;Dominique Sauter

  • Affiliations:
  • Laboratoire d'Automatique et de Gé/nie des Procé/dé/s, Université/ Claude Bernard Lyon, I CPE, Lyon, Bd du 11 Novembre 1918 F-69622 Villeurbanne Cedex, France;Centre de Recherche en Automatique de Nancy, CRAN-CNRS-INPL-UHP-UMR 7039 BP 239, F-54506 Vand&339/uvre-lè/s-Nancy Cedex, France;Centre de Recherche en Automatique de Nancy, CRAN-CNRS-INPL-UHP-UMR 7039 BP 239, F-54506 Vand&339/uvre-lè/s-Nancy Cedex, France;Centre de Recherche en Automatique de Nancy, CRAN-CNRS-INPL-UHP-UMR 7039 BP 239, F-54506 Vand&339/uvre-lè/s-Nancy Cedex, France

  • Venue:
  • International Journal of Applied Mathematics and Computer Science
  • Year:
  • 2007

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Abstract

This paper deals with a Fault Tolerant Control (FTC) strategy for polytopic Linear Parameter Varying (LPV) systems. The main contribution consists in the design of a Static Output Feedback (SOF) dedicated to such systems in the presence of multiple actuator faults/failures. The controllers are synthesized through Linear Matrix Inequalities (LMIs) in both fault-free and faulty cases in order to preserve the system closed-loop stability. Hence, this paper provides a new sufficient (but not necessary) condition for the solvability of the stabilizing output feedback control problem. An example illustrates the effectiveness and performances of the proposed FTC method.