Robust $H_{\infty }$ Sliding Mode Descriptor Observer for Fault and Output Disturbance Estimation of Uncertain Systems

A robust H_∞ sliding mode descriptor observer for simultaneous state and disturbance estimation of uncertain system is developed. Inspired by a singular system theory, a descriptor observer design is presented to estimate some class of output disturbances. A sliding mode scheme is used for the observer to reconstruct the input fault based on the transformed coordinate system. Simulation study illustrates the effectiveness of the proposed method.