H infinity observer for time-delay systems. Application to FDI for irrigation canals

This paper deals with the problem of fault detection and isolation for time-varying delayed systems. It consists to develop a $H_{\infty}$ observer that generates residuals sensitive to some faults and insensitive to others in order to detect and isolate actuator faults which can occur on the regulation gates of an irrigation canal. The observer design uses a simplified approximate model of the Saint-Venant equations and is formulated with delay-dependent Linear Matrix Inequality (LMI). Simulations done with a realistic model of a real canal show the effectiveness of the method