Diagnosis of delayed discrete-time singularly perturbed systems based on slow subsystem

This work presents an approach for fault diagnosis of discrete time singularly perturbed systems (SPS) with time-delay, called parity space in order to generate fault detection residual. In fact, to decompose the full system into slow and fast subsystems, we based on singular perturbation method. Then, we can use the reduced residual generated basing on slow subsystem in order to estimate and isolate faults of the global delayed SPS. A numerical example is presented to demonstrate the efficiency of the proposed approach in the case of sensor faults with different values of singular perturbation parameter epsilon.