Reference Model-based Fault Detection and Isolation for Discrete-time Systems Subject to Persistent Disturbances

Abstract

This paper deals with the design of a robust lter aimed for fault detection and isolation applied to discrete-time systems subject to arbitrary (not necessarily vanishing) normbounded (i.e., `1) input disturbances. The idea is to approximate the behavior from faults to residual given by a reference model despite the presence of disturbances. The lter design is
cast as an optimization problem subject to linear matrix inequality constraints. A numerical example is presented to demonstrate the potential of the proposed approach.