Robust finite frequency H-infinity model reduction for uncertain 2D continuous systems

A. El-Amrani; B. Boukili; A. El Hajjaji; A. Hmamed; I. Boumhidi

Communication dans un congrès

Robust finite frequency H-infinity model reduction for uncertain 2D continuous systems

A. El-Amrani ^{1, 2} B. Boukili ¹ A. El Hajjaji ³ A. Hmamed ⁴ I. Boumhidi ¹

1 USMBA - Université Sidi Mohamed Ben Abdellah

2 UPJV - Université de Picardie Jules Verne

3 MIS - Modélisation, Information et Systèmes - UR UPJV 4290

4 LESSI-départment de physique

Abstract : 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.

Type de document :

Communication dans un congrès

Domaine :

Sciences de l'ingénieur [physics] / Automatique / Robotique

Liste complète des métadonnées

https://hal-u-picardie.archives-ouvertes.fr/hal-03633204
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Soumis le : mercredi 6 avril 2022 - 18:33:59
Dernière modification le : jeudi 7 avril 2022 - 03:05:28

Robust finite frequency H-infinity model reduction for uncertain 2D continuous systems

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Robust finite frequency H-infinity model reduction for uncertain 2D continuous systems

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