A fault detection and isolation scheme based on parity space method for discrete time-delay system

A fault detection and isolation (FDI) scheme for discrete time-delay system is proposed, which can not only detect but also isolate the faults. A time delay operator nabla is introduced to deal with time-delay items. Residuals in the form of parity space can be deduced from the recursion of the system equations. Further more, a generalized residual set is created using the freedom of the parity space redundancy. Thus, both fault detection and fault isolation have been accomplished. The proposed method has been verified by a numerical example.