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.
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