Finite Frequency H∞ Filtering for Time-Delayed Singularly Perturbed Systems

This paper investigates the problem of finite frequency (FF) H-infinity filtering for time-delayed singularly perturbed systems. Our attention is focused on designing filters guaranteeing asymptotic stability and FF H-infinity disturbance attenuation level of the filtering error system. By the generalized Kalman-Yakubovich-Popov (KYP) lemma, the existence conditions of FF H-infinity filters are obtained in terms of solving an optimization problem, which is delay-independent. The main contribution of this paper is that systematic methods are proposed for designing H-infinity filters for delayed singularly perturbed systems.