Finite frequency fault estimation observer design for discrete-time liner parameter-varying descriptor Systems

This paper considers H∞ fault estimation observer design in the finite frequency domain for a class of discrete-time linear parameter-varying (LPV) descriptor systems. First, Considering the fault as an auxiliary state vector, an augmented system is established. Then, a fault estimation observer is designed based on the augmented system. In this paper, the fault estimation observer design is formulated as a linear matrix inequality (LMI) feasibility problem. Therefore, all parameters of the observer can be simultaneously designed by solving a set of strict LMIs. we develop a finite frequency H∞ design method based on a generalized Kalman–Yakubovich–Popov (KYP) lemma for discrete-time LPV descriptor systems. Design conditions for the proposed fault estimation observer are derived and converted as linear matrix inequalities. Simulation studies are conducted to demonstrate the performance of the proposed method.