{"title":"Asynchronous membership functions decoupling based event-triggered fuzzy networked control for nonlinear systems","authors":"Wen-Bo Xie , Yong-Qi Wu , Shi-Qi Zheng , Yu-Long Wang","doi":"10.1016/j.fss.2025.109377","DOIUrl":null,"url":null,"abstract":"<div><div>This paper focuses on the <span><math><msub><mrow><mi>H</mi></mrow><mrow><mo>∞</mo></mrow></msub></math></span> robust control for a kind of nonlinear networked control systems depicted by T-S fuzzy form model. An event-triggered communication scheme is adopted to improve the utilization of network resources. A new fuzzy system model is derived by designing an asynchronous membership functions decoupling method, such that more information about the membership functions is involved in the process of stability and robustness analysis. Based on Lyapunov Krasovskii Functional (LKF) method, a series of convex stability and robustness conditions can be given. Finally, two benchmark examples are introduced to prove the effectiveness of the designed method.</div></div>","PeriodicalId":55130,"journal":{"name":"Fuzzy Sets and Systems","volume":"512 ","pages":"Article 109377"},"PeriodicalIF":3.2000,"publicationDate":"2025-03-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Fuzzy Sets and Systems","FirstCategoryId":"100","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0165011425001162","RegionNum":1,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"COMPUTER SCIENCE, THEORY & METHODS","Score":null,"Total":0}
引用次数: 0
Abstract
This paper focuses on the robust control for a kind of nonlinear networked control systems depicted by T-S fuzzy form model. An event-triggered communication scheme is adopted to improve the utilization of network resources. A new fuzzy system model is derived by designing an asynchronous membership functions decoupling method, such that more information about the membership functions is involved in the process of stability and robustness analysis. Based on Lyapunov Krasovskii Functional (LKF) method, a series of convex stability and robustness conditions can be given. Finally, two benchmark examples are introduced to prove the effectiveness of the designed method.
期刊介绍:
Since its launching in 1978, the journal Fuzzy Sets and Systems has been devoted to the international advancement of the theory and application of fuzzy sets and systems. The theory of fuzzy sets now encompasses a well organized corpus of basic notions including (and not restricted to) aggregation operations, a generalized theory of relations, specific measures of information content, a calculus of fuzzy numbers. Fuzzy sets are also the cornerstone of a non-additive uncertainty theory, namely possibility theory, and of a versatile tool for both linguistic and numerical modeling: fuzzy rule-based systems. Numerous works now combine fuzzy concepts with other scientific disciplines as well as modern technologies.
In mathematics fuzzy sets have triggered new research topics in connection with category theory, topology, algebra, analysis. Fuzzy sets are also part of a recent trend in the study of generalized measures and integrals, and are combined with statistical methods. Furthermore, fuzzy sets have strong logical underpinnings in the tradition of many-valued logics.