STATISTICAL FAULT DETECTION WITH LINEAR OR NON-LINEAR NUISANCE PARAMETERS

摘要

The monitoring problems pertaining to Fault Detection and Identification (FDI) often have to take into account the interference of nuisance parameters in the elaboration of decision processes. There are many works addressing cases in which nuisance parameters interfere in a linear or additive way within the system to be monitored, most of them in a deterministic framework. We first suggest a fully statistical methodology for dealing with linear nuisance parameters, and then we adapt some aspects of this methodology to the non-linear interference of nuisance parameters. These methods can be applied to the monitoring of radio-navigation systems such as the GPS.