Decentralized Fuzzy Observer-Based Fault Estimation for Nonlinear Large-Scale Systems

This paper presents a fault estimation technique based on the decentralized fuzzy observer for nonlinear large-scale systems, which are considered to be consisted of fuzzy subsystems and uncertain interconnections. Based on a Takagi–Sugeno fuzzy model for the subsystems of the large-scale...

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Main Author: Geun Bum Koo
Format: Article
Language:English
Published: IEEE 2024-01-01
Series:IEEE Access
Subjects:
Online Access:https://ieeexplore.ieee.org/document/10460537/
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author Geun Bum Koo
author_facet Geun Bum Koo
author_sort Geun Bum Koo
collection DOAJ
description This paper presents a fault estimation technique based on the decentralized fuzzy observer for nonlinear large-scale systems, which are considered to be consisted of fuzzy subsystems and uncertain interconnections. Based on a Takagi&#x2013;Sugeno fuzzy model for the subsystems of the large-scale system and the decentralized fuzzy observer, the <inline-formula> <tex-math notation="LaTeX">$H_{\infty }$ </tex-math></inline-formula> performance of the fault estimation problem is established by using the estimation error model. By using <inline-formula> <tex-math notation="LaTeX">$H_{\infty }$ </tex-math></inline-formula> performance inequalities to address the fault estimation problem, the decentralized fuzzy observer design techniques are proposed to guarantee the fault estimation conditions. Also, sufficient conditions of observer design are converted into the linear matrix inequality formats. Finally, an example is provided to verify the effectiveness of the proposed decentralized fuzzy observer design techniques for fault estimation.
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spelling doaj.art-e678fa26baba4c04b11f85a61798c9bd2024-03-26T17:46:53ZengIEEEIEEE Access2169-35362024-01-0112353783538810.1109/ACCESS.2024.337375410460537Decentralized Fuzzy Observer-Based Fault Estimation for Nonlinear Large-Scale SystemsGeun Bum Koo0https://orcid.org/0000-0001-5610-4093Division of Electrical, Electronic and Control Engineering, Kongju National University, Gongju-si, South KoreaThis paper presents a fault estimation technique based on the decentralized fuzzy observer for nonlinear large-scale systems, which are considered to be consisted of fuzzy subsystems and uncertain interconnections. Based on a Takagi&#x2013;Sugeno fuzzy model for the subsystems of the large-scale system and the decentralized fuzzy observer, the <inline-formula> <tex-math notation="LaTeX">$H_{\infty }$ </tex-math></inline-formula> performance of the fault estimation problem is established by using the estimation error model. By using <inline-formula> <tex-math notation="LaTeX">$H_{\infty }$ </tex-math></inline-formula> performance inequalities to address the fault estimation problem, the decentralized fuzzy observer design techniques are proposed to guarantee the fault estimation conditions. Also, sufficient conditions of observer design are converted into the linear matrix inequality formats. Finally, an example is provided to verify the effectiveness of the proposed decentralized fuzzy observer design techniques for fault estimation.https://ieeexplore.ieee.org/document/10460537/Decentralized controlestimation errorfault detectionfuzzy systemslarge-scale systemslinear matrix inequalities
spellingShingle Geun Bum Koo
Decentralized Fuzzy Observer-Based Fault Estimation for Nonlinear Large-Scale Systems
IEEE Access
Decentralized control
estimation error
fault detection
fuzzy systems
large-scale systems
linear matrix inequalities
title Decentralized Fuzzy Observer-Based Fault Estimation for Nonlinear Large-Scale Systems
title_full Decentralized Fuzzy Observer-Based Fault Estimation for Nonlinear Large-Scale Systems
title_fullStr Decentralized Fuzzy Observer-Based Fault Estimation for Nonlinear Large-Scale Systems
title_full_unstemmed Decentralized Fuzzy Observer-Based Fault Estimation for Nonlinear Large-Scale Systems
title_short Decentralized Fuzzy Observer-Based Fault Estimation for Nonlinear Large-Scale Systems
title_sort decentralized fuzzy observer based fault estimation for nonlinear large scale systems
topic Decentralized control
estimation error
fault detection
fuzzy systems
large-scale systems
linear matrix inequalities
url https://ieeexplore.ieee.org/document/10460537/
work_keys_str_mv AT geunbumkoo decentralizedfuzzyobserverbasedfaultestimationfornonlinearlargescalesystems