H∞ filter design for discrete time systems with time varying delay and quantized measurements

Abstract

This paper is concerned with the delay dependent H ∞ filtering problem for discrete-time linear systems with quantized measurements and time varying delay. The measurement signal is quantized by a logarithmic quantizer, and the time-varying delay is unknown with given lower and upper bounds. Our main objective is to design a stable filter that guarantee the filtering error system to be asymptotically stable with a prescribed level of H ∞ noise attenuation. A delay dependent sufficient condition for the existence of such a filter is derived by using a Lyapunov-krasovskii functional, and delay partitioning technique. The effectiveness of the proposed filter is illustrated via a numerical example.