Finite Frequency Approach for H-infinity ...
Document type :
Communication dans un congrès avec actes
Title :
Finite Frequency Approach for H-infinity model reduction of 2D continuous systems
Author(s) :
El-Amrani, Abderrahim [Auteur]
LESSI-départment de physique
El Hajjaji, Ahmed [Auteur]
Modélisation, Information et Systèmes - UR UPJV 4290 [MIS]
Boumhidi, Ismail [Auteur]
Université Sidi Mohamed Ben Abdellah [USMBA]
Hmamed, Abdelaziz [Auteur]
Université Sidi Mohamed Ben Abdellah [USMBA]
Aitouche, Abdel [Auteur]
Centre de Recherche en Informatique, Signal et Automatique de Lille - UMR 9189 [CRIStAL]
LESSI-départment de physique
El Hajjaji, Ahmed [Auteur]
Modélisation, Information et Systèmes - UR UPJV 4290 [MIS]
Boumhidi, Ismail [Auteur]
Université Sidi Mohamed Ben Abdellah [USMBA]
Hmamed, Abdelaziz [Auteur]
Université Sidi Mohamed Ben Abdellah [USMBA]
Aitouche, Abdel [Auteur]
Centre de Recherche en Informatique, Signal et Automatique de Lille - UMR 9189 [CRIStAL]
Conference title :
2019 27TH MEDITERRANEAN CONFERENCE ON CONTROL AND AUTOMATION (MED)
City :
Akko
Country :
Israël
Start date of the conference :
2019-07-01
Journal title :
Mediterranean Conference on Control and Automation
Publication date :
2019
HAL domain(s) :
Sciences de l'ingénieur [physics]/Automatique / Robotique
English abstract : [en]
This paper considers the problem of H-infinity model reduction problem with finite frequency (FF) ranges of the input vector for two-dimensional (2D) continuous systems. Given an asymptotically stable system, the main ...
Show more >This paper considers the problem of H-infinity model reduction problem with finite frequency (FF) ranges of the input vector for two-dimensional (2D) continuous systems. Given an asymptotically stable system, the main objective is to find a stable reduced-order model such that the error of the transfer functions between the original system and the reduced-order one is bounded over a FF range. Using the well known generalized Kalman Yakubovich Popov (gKYP) Lemma and the Finsler's Lemma, sufficient conditions for the existence of H-infinity model reduction for different FF ranges are proposed and then unified in terms of solving a set of linear matrix inequalities (LMIs). Finally, the effectiveness of the proposed method is illustrated by a numerical example.Show less >
Show more >This paper considers the problem of H-infinity model reduction problem with finite frequency (FF) ranges of the input vector for two-dimensional (2D) continuous systems. Given an asymptotically stable system, the main objective is to find a stable reduced-order model such that the error of the transfer functions between the original system and the reduced-order one is bounded over a FF range. Using the well known generalized Kalman Yakubovich Popov (gKYP) Lemma and the Finsler's Lemma, sufficient conditions for the existence of H-infinity model reduction for different FF ranges are proposed and then unified in terms of solving a set of linear matrix inequalities (LMIs). Finally, the effectiveness of the proposed method is illustrated by a numerical example.Show less >
Language :
Anglais
Peer reviewed article :
Oui
Audience :
Internationale
Popular science :
Non
Comment :
27th Mediterranean Conference on Control and Automation, Akko, ISRAEL, JUL 01-04, 2019
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