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

This paper considers robust H
_∞
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
_∞
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.