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Blesa J.,University of Pau and Pays de lAdour | Puig V.,University of Pau and Pays de lAdour | Puig V.,Institute Of Robotica I Informatica Industrial Csic | Saludes J.,Polytechnic University of Catalonia
International Journal of Adaptive Control and Signal Processing | Year: 2011

In this paper, the problem of identification for passive robust fault detection, when a bounded description of the modelling uncertainty is considered, is addressed. Two set-membership identification methods are introduced to address this problem: the interval predictor and bounded error approaches. These two identification approaches naturally lead to two robust fault detection tests: the direct and inverse tests, respectively, which are also introduced and discussed. Implementation algorithms make use of a zonotope to approximate the parameter uncertainty set. Moreover, underlying hypothesis of both approaches is discussed and applicability conditions are stated. A case study based on a four-tank system is used to illustrate the applicability and the properties of the two identification approaches as well as the corresponding fault detection. Copyright © 2011 John Wiley & Sons, Ltd.

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