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

Doha El Hellani (1) , Ahmed El Hajjaji (1) , Roger Ceschi (2)

1 MIS - Modélisation, Information et Systèmes - UR UPJV 4290
2 FSATI, Department of Electrical Electronic and Computer Engineering

This paper is concerned with the delay dependent H-infinity 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-infinity 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.

Domaines: Automatique / Robotique

Doha El Hellani, Ahmed El Hajjaji, Roger Ceschi. H-infinity filter design for discrete time systems with time varying delay and quantized measurements. 2017 AMERICAN CONTROL CONFERENCE (ACC), May 2017, Seattle, United States. pp.5708-5713. ⟨hal-03634607⟩