RobustFaultDetectionandIsolationofTime-DelaySystems UsingaGeometricApproach ?

This paper investigates the development of Fault Detection and Isolation (FDI) lters for both retarded and neutral time-delay systems with unknown time-varying delays. Using a geometric framework, the notion of a nite unobservability subspace is introduced for time-delay systems and an algorithm for its construction is presented. A bank of residual generators is then designed so that each residual is aected by one fault and is partially decoupled from the others while the H1 norm of the transfer function between the disturbances and the uncertainties in delays and the residuals are guaranteed to remain less than a prescribed value. Furthermore, it is shown that in the case of known delays it is possible to generate residuals that enjoy perfect decoupling properties among faults. Simulation results presented demonstrate the eectiveness of our proposed FDI algorithms.

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