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Article Dans Une Revue International Journal of Modelling, Identification and Control Année : 2021

H-infinity model reduction of discrete-time 2D T-S fuzzy systems in finite frequency ranges

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Résumé

This paper addresses the problem of finite frequency (FF) H-infinity filter design for nonlinear continuous-time systems described by Takagi-Sugeno (T-S) fuzzy models. The objective is to provide a new design sufficient condition via linear matrix inequality (LMI) formulation, ensuring both the stability of the filtering error system and H-infinity performance when frequency ranges of noises are known beforehand. Less conservative results are obtained by using the generalised Kalman-Yakubovich-Popov (gKYP) lemma, Finsler's lemma and some independent matrices. Finally, three examples are given to show that the developed FF distributed filter design method has less conservation than the method for the entire frequency region.
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Dates et versions

hal-03633176 , version 1 (06-04-2022)

Identifiants

Citer

Abderrahim El-Amrani, Ahmed El Hajjaji, Bensalem Boukili, Ismail Boumhidi. H-infinity model reduction of discrete-time 2D T-S fuzzy systems in finite frequency ranges. International Journal of Modelling, Identification and Control, 2021, 37 (1), pp.22-31. ⟨10.1504/IJMIC.2021.119032⟩. ⟨hal-03633176⟩
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