Fault isolation for diagnosis: Nuisance rejection and multiple hypotheses testing

Fault detection, fault isolation and fault diagnosis are addressed within a statistical framework. The corresponding inference problems are stated. Several statistical tools for solving these inference problems are described. Particular emphasis is put on dealing with nuisance parameters and deciding between multiple hypotheses. How to use these tools for solving FDI problems is discussed. An example illustrates some of the proposed methods. Key-words: Hypotheses testing, nuisance parameters, multiple hypotheses, fault isolation and diagnosis.