Fault Detection with Non-linear Nuisance Parameters and Safe Train Navigation
| Authors: | Lacresse Hervé, Universtite de technologie de Troyes, France
Grall Antoine, Universtite de technologie de Troyes, France
Nikiforov Igor, Universtite de technologie de Troyes, France |
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| Topic: | 7.4 Transportation Systems |
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| Session: | Air and Rail Control Systems |
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| Keywords: | Detection, Nuisance Parameter, Non-linear Model, Stochastic, Statistical, train navigation, GNSS integrity monitoring |
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Abstract
Fault Detection and Identification (FDI) problems often have to take into account theinterference of nuisance parameters in the elaboration of decision processes. There are manyworks addressing cases in which nuisance parameters interfere in a linear and additive way,most of them in a deterministic framework. The maincontribution of the paper is to propose a fully statistical methodology for dealing withnon-linear nuisance parameters. The results obtained allow an analysis of the risks(in terms of non-detection and false alarm probabilities) attached to a statistical test designedfor such non-linear models. The developed method is applied to the integrity monitoring ofGNSS train navigation and some simulations demonstrate the worthiness of this approach.
