Application of Factorization and Gap Metric Techniques to Fault Detection and Isolation Part II: Gap metric technique aided FDI performance analysis

The motivation and the objective of this work are to initiate a systematic application of the system factorization and gap metric techniques to fault detection and isolation (FDI) study. This promises an alternative and, in some cases, more efficient way to deal with analysis and design of model-based FDI systems. Our focus is on FDI for uncertain systems with multiplicative faults. We address FDI issues both in the open- and closed-loop configurations. The paper consists of two parts. After the coprime factorization technique aided system modelling and FDI schemes have been addressed in the first part, the second part is dedicated to the introduction of a so-called K-gap and, based on it, the definition of FDI performance indicators as well as their application to FDI performance analysis.