Robust Fault Detection and Isolation of Linear Systems with Distributed Delays

Abstract

This paper investigates development of robust Fault Detection and Isolation (FDI) filters for linear system with both unknown point-wise as well as distributed delays. The notion of a finite unobservability subspace is introduced for distributed time-delay systems and an algorithm for its construction is presented. A bank of residual generators is designed based on our developed geometric framework so that each residual is affected by one fault and is partially decoupled from the others while the H∞ norm of the transfer function between the disturbance and uncertainties in delays and the residual signals are kept at less than a prespecified value. Simulation results demonstrate the effectiveness and capabilities of our proposed FDI algorithm.