Single fault isolability metrics of the binary isolating structures

Abstract

First, the critical analysis of isolability features of three chosen metrics is presented. It is proved that all studied and analysed metrics are not sufficiently well designed with respect to requirements of optimization methods referring to the binary fault isolation structures. Next, a set of the novel relatively simple definitions of single fault isolability metrics based on the binary valued structures of residual sets are introduced. The basic features of these metrics are formulated and proved. They allow for quantized fault isolability analysis within well defined normalized spans as well as are indicative of the degree of fault isolability. Finally, an illustrative example of determination of the isolability metrics of the electro-pneumatic actuator assembly is provided.