Fault detection for time-delay systems: a parity space approach

It is shown how a residual generator can be synthesized for time-delay systems using parity relations. The goal of this study is to investigate the application of a modern symbolic computation like MAPLE to the development and the design of fault detection systems for time-delay systems. In the literature, the problem brought up by time-delay systems has been solved in two different ways at least: first; retarded functional differential equations based upon the Razumikhin theorem; the second method is based upon the use of the delay operator V and the properties of the ring R[∇]. Taking into account these properties, a FDI scheme based on the parity space is proposed. Finally, the applicability of the presented scheme is illustrated by a numerical example