Open AccessImproved filtering H∞ finite frequency of Takagi-Sugeno fuzzy systems
Author(s) -
Rim Mrani Alaoui,
Abderrahim El-Amrani
Publication year - 2021
Publication title -
international journal of power electronics and drive systems/international journal of electrical and computer engineering
Language(s) - English
Resource type - Journals
eISSN - 2722-2578
pISSN - 2722-256X
DOI - 10.11591/ijpeds.v12.i4.pp2523-2530
Subject(s) - lemma (botany) , control theory (sociology) , mathematics , filter (signal processing) , kalman filter , fuzzy logic , noise (video) , lyapunov function , fuzzy control system , filter design , computer science , nonlinear system , artificial intelligence , statistics , ecology , physics , poaceae , control (management) , quantum mechanics , image (mathematics) , computer vision , biology
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.