Diagnosis and FTC : descriptor approach

In this paper we propose an approach of fault diagnosis and identification (FDI) and fault tolerant control(FTC) applied for time-delay continuous linear systems. To estimate the sensors faults descriptor approach is investigated. This method consists in augmenting the state system by considering the fault as an auxiliary state. The used observer can simultaneously estimate both the state system and sensors faults. The observer gains are then determined according to Linear Matrix Inequalities (LMI) technique. For fault tolerant control we present two control strategies which stabilize the system not only in free-fault case, but also in the fault occurrence. The first one consists in determine the state-feedback gain and the second one is based on the static output-feedback control. A numerical example is proposed to demonstrate the effectiveness and the merit of the given design.