Fault diagnosis and accommodation for singularly perturbed time-delayed systems: Descriptor approach

This work deals with the fault diagnosis and fault tolerant control for singularly perturbed time-delayed systems against sensor failures. The estimation of sensor faults is based on the descriptor approach which introduce the faults in the system having the property of auxiliary state. So, we construct an observer based on this approach and we use the technique of ε-dependent Linear Matrix Inequalities(LMI) in order to determine the observer gains. Then, an output-feedback controller gain is calculated to stabilize the system in both the fault free case and the faulty case. Finally, a numerical example with various form of sensor faults is presented.