A finite memory observer structure of continuous descriptor systems

In this paper, we show how the finite memory observer structure can be extended to a continuous descriptor system. The decomposition of a singular system into two subsystems, a slow and a fast subsystems, allows us to generalize the used technique for standard systems. Using the concept of standardized least square residuals, residuals can be generated in a number of ways and the design of fault detection and fault isolation scheme can be presented. The performances of the proposed method are illustrated on a simulated process: a simple circuit network (RLC)