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This paper investigates the problem of finite frequency (FF) H ∞ filtering for time-delayed singularly perturbed systems. Our attention is focused on designing filters guaranteeing asymptotic stability and FF H ∞ disturbance attenuation level of the filtering error system. By the generalized Kalman-Yakubovich-Popov (KYP) lemma, the existence conditions of FF H ∞ 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 ∞ filters for delayed singularly perturbed systems.

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