Geometric fault detection and isolation of two-dimensional (2D) systems

This work is concerned with development of a fault detection and isolation (FDI) scheme for discrete-time two-dimensional (2D) systems represented by the Roesser model. This is accomplished by generalizing the geometric approach of one-dimensional (1D) systems to this 2D model. The basic conditioned invariant and unobservabilty subspaces of 1D systems are extended, and algorithms to compute these subspaces are introduced. Moreover, sufficient conditions for solvability of the FDI problem are provided, and capability of the proposed method is emphasized through numerical simulation results.