Filter design for two-dimensional discrete-time T-S fuzzy systems described by FM LSS model

This our work is concerned with the problem of filter design in two-dimensional (2D) discrete-time non-linear systems in Takagi-Sugeno (T-S) fuzzy model described by Fornasini-Marchesini local state-space (FM LSS) Model. The problem to be solved in the paper is to find a H_{\infty} filter model such...

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Bibliographic Details
Published in2021 Fifth International Conference On Intelligent Computing in Data Sciences (ICDS) pp. 1 - 6
Main Authors Chakib, Rachid, El-Amrani, Abderrahim
Format Conference Proceeding
LanguageEnglish
Published IEEE 20.10.2021
Subjects
Filtering
Frequency modulation
Fuzzy systems
H∞ filter
Linear matrix inequalities
LMI Technique
Multi-dimensional Systems
Nonlinear filters
Simulation
Systematics
Two dimensional displays
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Summary:This our work is concerned with the problem of filter design in two-dimensional (2D) discrete-time non-linear systems in Takagi-Sugeno (T-S) fuzzy model described by Fornasini-Marchesini local state-space (FM LSS) Model. The problem to be solved in the paper is to find a H_{\infty} filter model such that the filtering error system is asymptotically stable and has a reduced H_{\infty} performance index. Via the use of the Lyapunov functions approach and parameterize slack matrices, new design conditions guaranteeing the H_{\infty} T-S fuzzy filter method of FM LSS model 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 T-S fuzzy of FM LSS model strategy by a practical application has been made.
DOI:10.1109/ICDS53782.2021.9626748