H∞ Fault Detection and Isolation for Descriptor Systems: A Matrix Inequalities Approach
Résumé
In this paper, a linear matrix equality (LMI) - based H∞ filtering formulation is presented for fault detection and isolation (FDI) problems of linear time-invariant descriptor systems. The fixed-order H∞ FDI filter design is characterized in terms of definite LMIs with no equality constraint, which are done recently by [1]. Using these matrix inequalities, we show that the solvability of a set of matrix inequality is necessary and sufficient to the existence of a proper FDI filter that satisfies a prescribed H∞ norm condition as well as stabilizing the closed-loop system, estimating the faults and eliminating all impulsive modes.
Domaines
Automatique
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