H/spl infin/ fault detection and isolation for descriptor systems: a matrix inequalities approach

A linear matrix inequality (LMI)-based H/spl infin/ filtering formulation is presented for fault detection and isolation (FDI) problems of linear time-invariant descriptor systems. The fixed-order H/spl infin/ FDI filter design is characterized in terms of definite LMIs with no equality constraint. 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/spl infin/ norm condition as well as stabilizing the closed-loop system, estimating the faults and eliminating all impulsive modes.

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