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

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.

Domaines: Automatique / Robotique

A. El-Amrani, B. Boukili, A. El Hajjaji, A. Hmamed, I. Boumhidi. Robust finite frequency H-infinity model reduction for uncertain 2D continuous systems. 2019 IEEE 58TH CONFERENCE ON DECISION AND CONTROL (CDC), Dec 2019, Nice, France. pp.5629-5634. ⟨hal-03633204⟩