{"title":"Reachable set estimation for switched T-S fuzzy systems with a switching dynamic memory event-triggered mechanism","authors":"Donghui Wu, Ying Zhao, Hong Sang, Shuanghe Yu","doi":"10.1016/j.fss.2024.109050","DOIUrl":null,"url":null,"abstract":"<div><p>The paper investigates the dynamic memory event-triggered reachable set (DMETRS) estimation problem for a class of switched Takagi-Sugeno fuzzy systems (ST-SFSs). A switching fuzzy dynamic memory event-triggered (SFDMET) mechanism is developed with a memory element inserted, which provides a lower communication frequency. Under the SFDMET rule, the controllers and switching command are constructed to force the reachable set estimation of the ST-SFSs. The reachable set estimation region is relevant to the SFDMET rule. In the end, the effectiveness of the proposed DMETRS estimation approach is validated through a room air regulating system.</p></div>","PeriodicalId":55130,"journal":{"name":"Fuzzy Sets and Systems","volume":"490 ","pages":"Article 109050"},"PeriodicalIF":3.2000,"publicationDate":"2024-06-17","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/S0165011424001969","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
The paper investigates the dynamic memory event-triggered reachable set (DMETRS) estimation problem for a class of switched Takagi-Sugeno fuzzy systems (ST-SFSs). A switching fuzzy dynamic memory event-triggered (SFDMET) mechanism is developed with a memory element inserted, which provides a lower communication frequency. Under the SFDMET rule, the controllers and switching command are constructed to force the reachable set estimation of the ST-SFSs. The reachable set estimation region is relevant to the SFDMET rule. In the end, the effectiveness of the proposed DMETRS estimation approach is validated through a room air regulating system.
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.
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