Finite Frequency H-infinity Filtering for Discrete-Time Uncertain Systems

A. El-Amrani (1, 2) , Y. Berrada , A. Hmamed (3) , A. El Hajjaji (4) , I. Boumhidi (1)

1 USMBA - Université Sidi Mohamed Ben Abdellah
2 UPJV - Université de Picardie Jules Verne
3 LESSI-départment de physique
4 MIS - Modélisation, Information et Systèmes - UR UPJV 4290

This paper is concerned with the problem of finite frequency (FF) H-infinity filter design for linear time-invariant discrete-time systems with polytopic uncertainties. Our aim is to design a new filter guaranteeing an H-infinity performance bound in a FF ranges. The H-infinity filter in designed to deal with noises in Low Frequency (LF) domain. By utilizing the Generalized Kalman-Yakubovich-Popov (GKYP) lemma, projection lemma, and we introduce many slack matrices, the conditions on the existence of H-infinity filters for LF range is unified in terms of solving a set of linear matrix inequalities (LMIs). Finally, an illustrative example is provided to show the effectiveness of the proposed method in comparison with the existing methods.

Domaines: Automatique / Robotique

A. El-Amrani, Y. Berrada, A. Hmamed, A. El Hajjaji, I. Boumhidi. Finite Frequency H-infinity Filtering for Discrete-Time Uncertain Systems. 2017 14TH INTERNATIONAL MULTI-CONFERENCE ON SYSTEMS, SIGNALS & DEVICES (SSD), Mar 2017, Marrakech, Morocco. pp.580-585. ⟨hal-03634609⟩