Probability bounds for false alarm analysis of fault detection systems

Research output: Chapter in Book/Report/Conference proceedingConference contribution

4 Scopus citations

Abstract

Model-based fault detection methods have the potential to reduce the size, weight, and cost of safety-critical aerospace systems. One obstacle to the application of these methods is a lack of appropriate tools to efficiently certify their reliability. This paper focuses on the false alarm analysis of a general fault detection scheme. The main difficulty of the false alarm analysis is the time-correlations introduced by the plant dynamics and the fault detection filter. This paper proves product-type probability inequalities for general stationary zero-mean Gaussian processes. These inequalities are applied to provide converging bounds for the false alarm probability over a given time window. A numerical example is presented to demonstrate the proposed technique.

Original languageEnglish (US)
Title of host publication2013 51st Annual Allerton Conference on Communication, Control, and Computing, Allerton 2013
PublisherIEEE Computer Society
Pages989-995
Number of pages7
ISBN (Print)9781479934096
DOIs
StatePublished - Jan 1 2013
Event51st Annual Allerton Conference on Communication, Control, and Computing, Allerton 2013 - Monticello, IL, United States
Duration: Oct 2 2013Oct 4 2013

Publication series

Name2013 51st Annual Allerton Conference on Communication, Control, and Computing, Allerton 2013

Other

Other51st Annual Allerton Conference on Communication, Control, and Computing, Allerton 2013
CountryUnited States
CityMonticello, IL
Period10/2/1310/4/13

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