Improved filtering H∞ finite frequency of Takagi-Sugeno fuzzy systems

Rim Mrani Alaoui, Abderrahim El-Amrani

Abstract


The work treats the filter H∞ finite frequency (FF) in Takagi-Sugeno (T-S) two dimensional (2-D) systems described by Fornasini-Marchesini local state-space (FM LSS)models. The goal of this work is to find an FF H∞ T-S fuzzy filter model design in such a way that the error system is stable and has a reduced FF H∞ performance over FF area swith noise is established as aprerequisite. Via the use of the generalized Kalman Yakubovich Popov (gKYP) lemma, Lyapunov functions approach, Finsler’s lemma, and parameterize slack matrices, new design conditions guaranteeing the FF H∞ T-S fuzzy filter method of FM LSS models are developed by solving linear matrix inequalities (LMIs). At last, the simulation results are provided to show the effectiveness and the validity of the proposed FF T-S fuzzy of FM LSS models strategy by a practical application has been made.

Keywords


Filter problem; Finite frequency; Fuzzy systems; H∞ index; Nonlinear models

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DOI: http://doi.org/10.11591/ijpeds.v12.i4.pp2523-2530

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