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Frequency Response Analysis for T-S Fuzzy Systems

by Shinq-Jen Wu
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International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 184 - Number 47
Year of Publication: 2023
Authors: Shinq-Jen Wu
10.5120/ijca2023922580

Shinq-Jen Wu . Frequency Response Analysis for T-S Fuzzy Systems. International Journal of Computer Applications. 184, 47 ( Feb 2023), 17-22. DOI=10.5120/ijca2023922580

@article{ 10.5120/ijca2023922580,
author = { Shinq-Jen Wu },
title = { Frequency Response Analysis for T-S Fuzzy Systems },
journal = { International Journal of Computer Applications },
issue_date = { Feb 2023 },
volume = { 184 },
number = { 47 },
month = { Feb },
year = { 2023 },
issn = { 0975-8887 },
pages = { 17-22 },
numpages = {9},
url = { https://ijcaonline.org/archives/volume184/number47/32622-2023922580/ },
doi = { 10.5120/ijca2023922580 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-07T01:24:13.634208+05:30
%A Shinq-Jen Wu
%T Frequency Response Analysis for T-S Fuzzy Systems
%J International Journal of Computer Applications
%@ 0975-8887
%V 184
%N 47
%P 17-22
%D 2023
%I Foundation of Computer Science (FCS), NY, USA
Abstract

Frequency response is an important physical quantity in audio systems for minimizing audible distortion and in control systems for assessing system relative stability. For linear time-invariant systems (LTI systems), frequency response has one-to-one relationship to system impulse response. However, the LTI systems-based analysis cannot describe nonlinear frequency response well. T-S fuzzy systems are based on fuzzily blending several linear subsystems and are widely used to describe nonlinear systemsbehavior in various fields. Recently, researcherstried to obtain frequency response of T-S fuzzy systems through the assumption thatthe same fuzzy relationship exists in both time domain and frequency domain. In this paper, we focus on deriving fuzzy frequency response from both basic definitions of frequency response and previously proposed neural-network-based fuzzy blending feature to find out the limitations, the range of frequency response for T-S fuzzy systems. Steady-state system response is additionally discussed and tested with two active magnetic bearing systems.

References
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Index Terms

Computer Science
Information Sciences

Keywords

Fuzzy systems frequency response relative stability

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