The general fault detection and isolation problem for 2D state-space models

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.