{"title":"Extended dissipative analysis of integral sliding mode control for singular interval type-2 fuzzy systems with time delay","authors":"Fangyuan Liu, Guobao Liu, Huai Liu, Shicheng Huo","doi":"10.1016/j.amc.2024.129251","DOIUrl":null,"url":null,"abstract":"<div><div>This paper explores the extended dissipative analysis of integral sliding mode control in the context of singular interval type-2 (IT-2) fuzzy systems with time delays. To better align with the characteristics of type-2 fuzzy models, a suitable integral fuzzy switching surface is introduced, taking into account state-dependent input matrices. Additionally, to address conservatism resulting from time delays, the paper utilizes suitable augmented Lyapunov-Krasovskii functionals and integral inequalities based on auxiliary functions to analyze the system's extended dissipative properties. Furthermore, by leveraging membership function dependency (MFD), this article effectively addresses the premise variable mismatch issue. The paper also provides relaxed stability conditions for feedback system stability and attainability of the desired sliding surface. Finally, the inclusion of illustrative examples serves to validate the efficacy of this approach.</div></div>","PeriodicalId":55496,"journal":{"name":"Applied Mathematics and Computation","volume":"493 ","pages":"Article 129251"},"PeriodicalIF":3.5000,"publicationDate":"2024-12-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Applied Mathematics and Computation","FirstCategoryId":"100","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0096300324007124","RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"MATHEMATICS, APPLIED","Score":null,"Total":0}
引用次数: 0
Abstract
This paper explores the extended dissipative analysis of integral sliding mode control in the context of singular interval type-2 (IT-2) fuzzy systems with time delays. To better align with the characteristics of type-2 fuzzy models, a suitable integral fuzzy switching surface is introduced, taking into account state-dependent input matrices. Additionally, to address conservatism resulting from time delays, the paper utilizes suitable augmented Lyapunov-Krasovskii functionals and integral inequalities based on auxiliary functions to analyze the system's extended dissipative properties. Furthermore, by leveraging membership function dependency (MFD), this article effectively addresses the premise variable mismatch issue. The paper also provides relaxed stability conditions for feedback system stability and attainability of the desired sliding surface. Finally, the inclusion of illustrative examples serves to validate the efficacy of this approach.
期刊介绍：
Applied Mathematics and Computation addresses work at the interface between applied mathematics, numerical computation, and applications of systems – oriented ideas to the physical, biological, social, and behavioral sciences, and emphasizes papers of a computational nature focusing on new algorithms, their analysis and numerical results.
In addition to presenting research papers, Applied Mathematics and Computation publishes review articles and single–topics issues.
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