H-infinity filtering for discrete time systems with intermittent measurements and finite frequency specifications

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 finite frequency (FF) H-infinity filtering problem for discrete time linear systems with intermittent quantized measurements. The transmission channel between the plant and the filter is assumed to be imperfect, and a Bernoulli process is considered to model the missing measurement phenomenon. By using the FF l(2) gain definition and the generalized S-procedure, a new filter analysis approach is developed, guaranteeing the filtering error system to be stable in presence of data losses, with a prescribed H-infinity attenuation level in the FF domain of input noises. Then, using Finsler's lemma and slack variables, the filter design conditions are formulated in terms of linear matrix inequalities (LMIs). Finally, simulation results are presented using an F-404 aircraft engine system, in order to demonstrate the validity and the effectiveness of the proposed approach.

Domaines: Automatique / Robotique

Doha El Hellani, Ahmed El Hajjaji, Roger Ceschi. H-infinity filtering for discrete time systems with intermittent measurements and finite frequency specifications. 2017 IEEE 56TH ANNUAL CONFERENCE ON DECISION AND CONTROL (CDC), Dec 2017, Melbourne, Australia. ⟨hal-03634608⟩