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Article Dans Une Revue International journal of autonomous and adaptive communications systems Année : 2023

H-8 model reduction of 2D discrete-time T-S fuzzy systems

Résumé

This paper considers the problem of H-8 model reduction design for two-dimensional (2D) discrete-time Takagi-Sugeno (T-S) fuzzy systems described by Roesser model, over finite frequency (FF) domain. The problem to be solved in the paper is to find a reduced-order model such that the approximation error system is asymptotically stable, which is able to approximate the original T-S fuzzy system with comparatively small and minimised H-8 performance when frequency ranges of noises are known beforehand. Via the use of the generalised Kalman Yakubovich Popov (gKYP) lemma, new design conditions guaranteeing the FF H-8 model reduction are established in terms of linear matrix inequalities (LMIs). To highlight the effectiveness of the proposed H-8 model reduction design, a numerical example is given to illustrate the effectiveness and the less conservativeness of the proposed approach.
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Dates et versions

hal-04182513 , version 1 (17-08-2023)

Identifiants

Citer

Abderrahim El Amrani, Bensalem Boukili, Ahmed El Hajjaji, Ismail Boumhidi. H-8 model reduction of 2D discrete-time T-S fuzzy systems. International journal of autonomous and adaptive communications systems, 2023, 16 (4), pp.404-418. ⟨10.1504/IJAACS.2023.132514⟩. ⟨hal-04182513⟩
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