Optimal statistical fault detection with nuisance parameters

Authors:
Mitra Fouladirad;Igor Nikiforov
Affiliations:
ISTIT, FRE CNRS 2732, Université de Technologie de Troyes, BP 2060, 10010 Troyes Cedex, France;ISTIT, FRE CNRS 2732, Université de Technologie de Troyes, BP 2060, 10010 Troyes Cedex, France
Venue:
Automatica (Journal of IFAC)
Year:
2005

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Abstract

Fault detection is addressed within a statistical framework. The goal of this paper is to propose an optimal statistical tool to detect a fault in a linear stochastic (dynamical) system with uncertainties (nuisance parameters or nuisance faults). It is supposed that the nuisance parameters are unknown but non-random; practically, this means that the nuisance can be intentionally chosen to maximize its negative impact on the monitored system (for instance, to mask a fault). Examples of ground station based and receiver autonomous Global Positioning System (GPS) integrity monitoring illustrate the proposed method.