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Communication Dans Un Congrès Année : 2018

H-infinity model reduction for two-dimensional discrete systems in finite frequency ranges

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Résumé

This paper examines the design problem H-infinity of the reduced order model for two-dimensional (2D) discrete systems described by the Roesser model with a control input assumed to operate in a finite frequency (FF) domain. Given an asymptotically stable system; our goal is to find a stable reduced order system so that the error of the transfer functions between the original system and the reduced order is limited to a range FF. Using the well-known generalized lemma of Kalman Yakubovich Popov (gKYP) and the Finsler's lemma, sufficient conditions for the existence of the reduction of the H-infinity model for different FF ranges are proposed and then unified in terms of solving a set of linear matrix inequalities (LMIs). An illustrative example is provided to show the utility and potential of the proposed results.
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Dates et versions

hal-03633228 , version 1 (06-04-2022)

Identifiants

  • HAL Id : hal-03633228 , version 1

Citer

Abderrahim El-Amrani, Ahmed El Hajjaji, Bensalem Boukili, Abdelaziz Hmamed. H-infinity model reduction for two-dimensional discrete systems in finite frequency ranges. 2018 26TH MEDITERRANEAN CONFERENCE ON CONTROL AND AUTOMATION (MED), Jun 2018, Zadar, Croatia. pp.885-890. ⟨hal-03633228⟩
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