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H-/H ∞ fault detection filter for a class of nonlinear descriptor systems

par Boulkroune, Boulaïd ;Halabi, Souheil;Zemouche, Ali
Référence International journal of control, 86, 2, page (253-262)
Publication Publié, 2013-02

Article révisé par les pairs

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Résumé :

This article addresses the problem of designing a robust fault detection filter (RFDF) for a class of nonlinear descriptor systems whose nonlinear term is globally Lipschitz and linear term is described by a linear parameter varying form. The effect of perturbations on the residuals is minimised using the H∞ norm while the sensitivity performance is guaranteed using the H- index. Thanks to a particular Lyapunov function: which depends on the faults and the filter design problem is formulated as a convex optimisation problem solved via linear matrix inequality techniques. Performances of the proposed filter are shown through the application of an activated sludge process model. © 2013 Taylor & Francis Group, LLC.