Membership-dependent and line integral Lyapunov functionals for event-triggered T–S fuzzy observer design

IF 2.8 3区 物理与天体物理 Q2 PHYSICS, MULTIDISCIPLINARY
R. Elavarasi, B. Adhira, G. Nagamani, A. Meyer-baese
{"title":"Membership-dependent and line integral Lyapunov functionals for event-triggered T–S fuzzy observer design","authors":"R. Elavarasi,&nbsp;B. Adhira,&nbsp;G. Nagamani,&nbsp;A. Meyer-baese","doi":"10.1140/epjp/s13360-025-06165-8","DOIUrl":null,"url":null,"abstract":"<div><p>This paper addresses the problem of asymptotic stability analysis of the Takagi–Sugeno (T–S) fuzzy system with an event-triggered observer-based control design. To analyze the stability of the constructed delayed observer-based T–S fuzzy error system, two different Lyapunov-Krasovskii functionals (LKFs) techniques are employed namely membership-dependent LKF and fuzzy line integral LKF. Based on these LKFs, two different sets of sufficient conditions ensuring the asymptotic stability of the T–S fuzzy system are obtained in the context of linear matrix inequalities. Further, the numerical examples are provided to validate the effectiveness and advantages of the proposed method. Additionally, the efficiency of the considered LKFs is examined.</p></div>","PeriodicalId":792,"journal":{"name":"The European Physical Journal Plus","volume":"140 4","pages":""},"PeriodicalIF":2.8000,"publicationDate":"2025-04-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"The European Physical Journal Plus","FirstCategoryId":"4","ListUrlMain":"https://link.springer.com/article/10.1140/epjp/s13360-025-06165-8","RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"PHYSICS, MULTIDISCIPLINARY","Score":null,"Total":0}
引用次数: 0

Abstract

This paper addresses the problem of asymptotic stability analysis of the Takagi–Sugeno (T–S) fuzzy system with an event-triggered observer-based control design. To analyze the stability of the constructed delayed observer-based T–S fuzzy error system, two different Lyapunov-Krasovskii functionals (LKFs) techniques are employed namely membership-dependent LKF and fuzzy line integral LKF. Based on these LKFs, two different sets of sufficient conditions ensuring the asymptotic stability of the T–S fuzzy system are obtained in the context of linear matrix inequalities. Further, the numerical examples are provided to validate the effectiveness and advantages of the proposed method. Additionally, the efficiency of the considered LKFs is examined.

本文探讨了基于事件触发观测器控制设计的高木-杉野(Takagi-Sugeno,T-S)模糊系统的渐近稳定性分析问题。为了分析所构建的基于延迟观测器的 T-S 模糊误差系统的稳定性,本文采用了两种不同的 Lyapunov-Krasovskii 函数(LKFs)技术,即成员依赖 LKF 和模糊线积分 LKF。基于这些 LKFs,在线性矩阵不等式的背景下获得了两组不同的充分条件,确保 T-S 模糊系统的渐近稳定性。此外,还提供了数值示例来验证所提方法的有效性和优势。此外,还考察了所考虑的 LKF 的效率。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
求助全文
约1分钟内获得全文 求助全文
来源期刊
The European Physical Journal Plus
The European Physical Journal Plus PHYSICS, MULTIDISCIPLINARY-
CiteScore
5.40
自引率
8.80%
发文量
1150
审稿时长
4-8 weeks
期刊介绍: The aims of this peer-reviewed online journal are to distribute and archive all relevant material required to document, assess, validate and reconstruct in detail the body of knowledge in the physical and related sciences. The scope of EPJ Plus encompasses a broad landscape of fields and disciplines in the physical and related sciences - such as covered by the topical EPJ journals and with the explicit addition of geophysics, astrophysics, general relativity and cosmology, mathematical and quantum physics, classical and fluid mechanics, accelerator and medical physics, as well as physics techniques applied to any other topics, including energy, environment and cultural heritage.
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
提示
您的信息不完整,为了账户安全,请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
确定
请完成安全验证×
copy
已复制链接
快去分享给好友吧!
我知道了
右上角分享
点击右上角分享
0
联系我们:info@booksci.cn Book学术提供免费学术资源搜索服务,方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。 Copyright © 2023 布克学术 All rights reserved.
京ICP备2023020795号-1
ghs 京公网安备 11010802042870号
Book学术文献互助
Book学术文献互助群
群 号:481959085
Book学术官方微信