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Journal of Control Science and Engineering
Volume 2008, Article ID 231697, 11 pages
Research Article

A Method for Designing Fault Diagnosis Filters for LPV Polytopic Systems

Université Bordeaux 1, Approche Robuste et Intégrée de l'Automatique, Laboratory IMS, 351 Cours de la Libération, Talence Cedex 33405, France

Received 30 March 2007; Accepted 25 September 2007

Academic Editor: Kemin Zhou

Copyright © 2008 Sylvain Grenaille et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


The work presented in this paper focuses on the design of robust Fault Detection and Isolation (FDI) filters for dynamic systems characterized by LPV (Linear Parameter Varying) polytopic models. A sufficient condition is established to guarantee sensitivity performance of the residual signal vector to faults. Robustness constraints against model perturbations and disturbances are also taken into account in the design method. A key feature of the proposed method is that the residual structuring matrices are optimized as an integral part of the design, together with the dynamic part (i.e. the filter). The design problem is formulated as a convex optimization problem and solved using LMI (Linear Matrix Inequalities) techniques. The proposed method is illustrated on the secondary circuit of a Nuclear Power Plant.