H−∕H∞ fault detection observer in finite frequency domain for linear parameter-varying descriptor systems

This paper considers H−∕H∞ fault detection observer design in the finite frequency domain for a class of linear parameter-varying (LPV) descriptor systems. We propose a novel fault detection observer with a non-singular structure. To make the residual sensitive to faults and robust against disturbances, we develop a finite frequency H−∕H∞ design method based on a generalized Kalman-Yakubovich-Popov lemma for LPV descriptor systems. Design conditions for the proposed fault detection observer are derived and converted as linear matrix inequalities. Simulation studies are conducted to demonstrate the performance of the proposed method.