Automatica (Journal of IFAC)
Fault detection via factorization approach
Systems & Control Letters
A note on the state space realization of 2D FIR transfer functions
Systems & Control Letters
2D residual generation and dead-beat observers
Systems & Control Letters
Innovations generation in the presence of unknown inputs: application to robust failure detection
Automatica (Journal of IFAC)
Matrix Pairs in Two-Dimensional Systems: An Approach Based on Trace Series and Hankel Matrices
SIAM Journal on Control and Optimization
nD Polynomial Matrices with Applications to MultidimensionalSignal Analysis
Multidimensional Systems and Signal Processing
Fault Diagnosis: Models, Artificial Intelligence, Applications
Fault Diagnosis: Models, Artificial Intelligence, Applications
Technical Communique: Fault isolation filter design for linear stochastic systems
Automatica (Journal of IFAC)
Triangular realization of rational functions of N complex variables
Multidimensional Systems and Signal Processing
Triangular representation of Fornasini---Marchesini systems
Multidimensional Systems and Signal Processing
Fault detection with network communication
International Journal of Systems Science - Fault Diagnosis and Fault Tolerant Control
Detectability subspaces and observer synthesis for two-dimensional systems
Multidimensional Systems and Signal Processing
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In this paper, the fault detection and isolation problems for two-dimensional (2D) state-space models are investigated, both when no disturbances affect the system and when they actually do. Basing on some old results about dead-beat observers [Bisiacco, M. (1986) IEEE Transactions on Automatic Control, AC-31, 676---680] and on some recent results about dead-beat unknown input observers (UIOs) (for 2D systems affected by disturbances) [Bisiacco, M. & Valcher, M. E. (2004) International Journal of Control 77(9), 861---876], we develop a complete theory of dead-beat (possibly unknown input) observer-based fault detectors and isolators (FDIs). Necessary and sufficient conditions for the existence of a dead-beat observer-based FDI or for the existence of a dead-beat UIO-based FDI are derived, and constructive procedures for obtaining such FDIs are described in detail.