$H_{-}/H_{\infty}$ Reference Model-based Fault Detection and Isolation for Discrete-time Systems

This paper deals with the design of an $H_{-}/H_{\infty}$ observer-like filter for linear discrete-time systems. The goal is to guarantee fault detection and isolation taking into account the desired behavior given by a reference model despite the presence of disturbances. The filter design is cast as a convex optimization problem involving a set of linear matrix inequalities constraints. The effectiveness of the proposed design is illustrated by a numerical example.