The general fault detection and isolation problem for 2D state-space models |
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Authors: | Mauro Bisiacco Maria Elena Valcher |
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Affiliation: | aDip. di Ingegneria dell’Informazione, Univ. di Padova, via Gradenigo 6/B, 35131 Padova, Italy |
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Abstract: | In this paper, the fault detection and isolation problem for two-dimensional (2D) state-space models is investigated in a rather general setting, by assuming that disturbances may affect the system. In a recent contribution M. Bisiacco, M.E. Valcher, Observer-based fault detection and isolation for 2D state-space models, Multidim. Systems Signal Process 17 (2006) 219–242], a complete theory of dead-beat (possibly unknown input) observer-based fault detectors and isolators (FDIs) has been developed. Here the wider class of 2D FDIs, which allow to detect and identify possible faults, without requiring a preliminary state estimation, is introduced, and necessary and sufficient conditions for the existence of a dead-beat FDI are derived. Constructive procedures for obtaining such FDIs, and comparisons with the results obtained in M. Bisiacco, M.E. Valcher, Observer-based fault detection and isolation for 2D state-space models, Multidim. Systems Signal Process 17 (2006) 219–242], are also provided. |
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Keywords: | Two-dimensional (2D) state-space models Fault detection and isolation (FDI) Finite memory 2D systems Dead-beat FDI |
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