{"title":"Finite-time bounded asynchronous sliding-mode control for T-S fuzzy time-delay systems via event-triggered scheme","authors":"Guiling Li , Chen Peng , Zhiru Cao","doi":"10.1016/j.fss.2025.109400","DOIUrl":null,"url":null,"abstract":"<div><div>This paper investigates the finite-time bounded sliding mode control problem of networked T-S fuzzy time-delay systems by utilizing the event-triggered scheme. The input matrices in the networked control systems under consideration are different. First, based on the designed integral sliding mode function, a novel finite-time asynchronous fuzzy sliding mode controller is constructed for T-S fuzzy time-delay systems (TSFTDSs) to realize the reachability of the sliding mode manifold within a specified finite time. Second, by using the asynchronous premise reconstruction approach, new unified networked closed-loop systems with the matched uncertainty and external disturbance are presented. Third, different from the asymptotic stability discussed in other articles, the finite-time boundedness of the state trajectories in the closed-loop systems throughout the entire motion process can be guaranteed and the controller gains are obtained. Finally, the superiority and effectiveness of the derived results are verified through two simulation examples.</div></div>","PeriodicalId":55130,"journal":{"name":"Fuzzy Sets and Systems","volume":"514 ","pages":"Article 109400"},"PeriodicalIF":3.2000,"publicationDate":"2025-04-11","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/S0165011425001393","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 investigates the finite-time bounded sliding mode control problem of networked T-S fuzzy time-delay systems by utilizing the event-triggered scheme. The input matrices in the networked control systems under consideration are different. First, based on the designed integral sliding mode function, a novel finite-time asynchronous fuzzy sliding mode controller is constructed for T-S fuzzy time-delay systems (TSFTDSs) to realize the reachability of the sliding mode manifold within a specified finite time. Second, by using the asynchronous premise reconstruction approach, new unified networked closed-loop systems with the matched uncertainty and external disturbance are presented. Third, different from the asymptotic stability discussed in other articles, the finite-time boundedness of the state trajectories in the closed-loop systems throughout the entire motion process can be guaranteed and the controller gains are obtained. Finally, the superiority and effectiveness of the derived results are verified through two simulation examples.
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.