Robust Fault Diagnosis in an H∞ Setting

Abstract A new approach to robust fault diagnosis is described in this paper. This approach combines the advantages of the H ∞ state estimation with the performances of optimization techniques classically used for residual generation design. The dynamic system considered here is assumed to be subject to perturbations represented by an unknown input vector. The estimation output error equation of an output observer is exploited to generate a residual with respect to the worst case H ∞ performance measure. This residual is close to zero in the absence of faults. A procedure is proposed to enhance the sensitivity of the residual to faults there where it is not possible to uncouple the effect of faults and the perturbations of the system. The design is based on the optimization of a performance index expressed in the frequency domain.

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