{"title":"Dissipativity Analysis for Singular Interval Type-2 Fuzzy Markov Jump Systems With Actuator Faults and Time-Vary Delays","authors":"Fangyuan Liu, Guobao Liu, Huai Liu, Shicheng Huo, Weixing Qian","doi":"10.1007/s40815-024-01839-4","DOIUrl":null,"url":null,"abstract":"<p>This paper investigates the dissipativity analysis problem of discrete-time singular interval type-2 (IT-2) fuzzy Markov jump systems (FMJSs) with actuator faults and time-vary delays. First, considering the influence of actuator faults, a method employing Lyapunov function dependent on system modes and fuzzy bases is proposed. Second, based on the linear matrix inequality (LMI), a stability criterion related to time delay is established using the discrete Jensen inequality and delay partitioning technique. Additionally, addressing the mismatched membership functions (MFs) between the system fuzzy model and the controller, this paper adopts a membership function dependency approach, effectively resolving the problem of mismatched premise variables between the fuzzy model and the controller. Finally, the effectiveness of this method is validated through an illustrative example.</p>","PeriodicalId":14056,"journal":{"name":"International Journal of Fuzzy Systems","volume":"2677 1","pages":""},"PeriodicalIF":3.6000,"publicationDate":"2024-09-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"International Journal of Fuzzy Systems","FirstCategoryId":"94","ListUrlMain":"https://doi.org/10.1007/s40815-024-01839-4","RegionNum":3,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"AUTOMATION & CONTROL SYSTEMS","Score":null,"Total":0}
引用次数: 0
Abstract
This paper investigates the dissipativity analysis problem of discrete-time singular interval type-2 (IT-2) fuzzy Markov jump systems (FMJSs) with actuator faults and time-vary delays. First, considering the influence of actuator faults, a method employing Lyapunov function dependent on system modes and fuzzy bases is proposed. Second, based on the linear matrix inequality (LMI), a stability criterion related to time delay is established using the discrete Jensen inequality and delay partitioning technique. Additionally, addressing the mismatched membership functions (MFs) between the system fuzzy model and the controller, this paper adopts a membership function dependency approach, effectively resolving the problem of mismatched premise variables between the fuzzy model and the controller. Finally, the effectiveness of this method is validated through an illustrative example.
期刊介绍：
The International Journal of Fuzzy Systems (IJFS) is an official journal of Taiwan Fuzzy Systems Association (TFSA) and is published semi-quarterly. IJFS will consider high quality papers that deal with the theory, design, and application of fuzzy systems, soft computing systems, grey systems, and extension theory systems ranging from hardware to software. Survey and expository submissions are also welcome.
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