Brief paper: Robust fault detection and isolation of time-delay systems using a geometric approach

Authors:
N. Meskin;K. Khorasani
Affiliations:
Department of Electrical and Computer Engineering, Concordia University, 1455 de Maisonneuve Blvd. W. Montreal, Quebec H3G 1M8 Canada;Department of Electrical and Computer Engineering, Concordia University, 1455 de Maisonneuve Blvd. W. Montreal, Quebec H3G 1M8 Canada
Venue:
Automatica (Journal of IFAC)
Year:
2009

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Abstract

This paper investigates the development of Fault Detection and Isolation (FDI) filters for both retarded and neutral time-delay systems with unknown time-varying delays. Using a geometric framework, the notion of a finite 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 affected by one fault and is partially decoupled from the others while the H"~ 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 effectiveness of our proposed FDI algorithms.