%0 Conference Paper %F Oral %T Robust finite frequency H-infinity model reduction for uncertain 2D continuous systems %+ Université Sidi Mohamed Ben Abdellah (USMBA) %+ Université de Picardie Jules Verne (UPJV) %+ Modélisation, Information et Systèmes - UR UPJV 4290 (MIS) %+ LESSI-départment de physique %A El-Amrani, A. %A Boukili, B. %A El Hajjaji, A. %A Hmamed, A. %A Boumhidi, I. %Z 58th IEEE Conference on Decision and Control (CDC), Nice, FRANCE, DEC 11-13, 2019 %< avec comité de lecture %B 2019 IEEE 58TH CONFERENCE ON DECISION AND CONTROL (CDC) %C Nice, France %S IEEE Conference on Decision and Control %P 5629-5634 %8 2019-12-11 %D 2019 %Z Engineering Sciences [physics]/AutomaticConference papers %X This paper considers robust H-infinity model reduction in finite frequency (FF) domain for 2D continuous-time systems with poltytopic uncertainties. Based on generalized Kalman-Yakubovich-Popov (gKYP) lemma and Finsler's lemma, we propose a model reduction method over FF interval for such systems with new condistions. To attenuate the effect of unknown disturbance a model reduction is designed in finite frequency (FF) domain using H-infinity optimisation technique. With the design conditions formulated as a set of linear matrix inequalities (LMIs), the presented model reduction can be efficiently designed. The effectiveness of the proposed method is illustrated by a numerical example. %G English %L hal-03633204 %U https://u-picardie.hal.science/hal-03633204 %~ UNIV-PICARDIE %~ TDS-MACS %~ U-PICARDIE %~ MIS %~ UPJV-MIS-COVE