{"title":"通过基于区位分析的中间观测器进行离散时间高木-菅野模糊系统的状态和故障区间估计","authors":"Lulin Zhang;Zhuoxue Li;Yi Li;Jiuxiang Dong","doi":"10.1109/TFUZZ.2024.3459642","DOIUrl":null,"url":null,"abstract":"In this article, we study state and fault interval estimation method for discrete-time Takagi–Sugeno fuzzy systems. First, a novel intermediate observer via T-N-L structure with \n<inline-formula><tex-math>$H_{\\infty }$</tex-math></inline-formula>\n performance is designed. The intermediate observer proposed is designed with a higher degree of freedom due to the introduction of two auxiliary variables. Second, based on this novel intermediate observer, zonotopic analysis is utilized to give a range of the effects of unknown inputs and fault derivatives on state and fault estimation, thus interval estimation results for state and fault are obtained. The effectiveness of the proposed method is verified by a dc motor-controlled inverted pendulum system.","PeriodicalId":13212,"journal":{"name":"IEEE Transactions on Fuzzy Systems","volume":"32 11","pages":"6588-6593"},"PeriodicalIF":10.7000,"publicationDate":"2024-09-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"State and Fault Interval Estimation for Discrete-Time Takagi–Sugeno Fuzzy Systems via Intermediate Observer Base on Zonotopic Analysis\",\"authors\":\"Lulin Zhang;Zhuoxue Li;Yi Li;Jiuxiang Dong\",\"doi\":\"10.1109/TFUZZ.2024.3459642\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this article, we study state and fault interval estimation method for discrete-time Takagi–Sugeno fuzzy systems. First, a novel intermediate observer via T-N-L structure with \\n<inline-formula><tex-math>$H_{\\\\infty }$</tex-math></inline-formula>\\n performance is designed. The intermediate observer proposed is designed with a higher degree of freedom due to the introduction of two auxiliary variables. Second, based on this novel intermediate observer, zonotopic analysis is utilized to give a range of the effects of unknown inputs and fault derivatives on state and fault estimation, thus interval estimation results for state and fault are obtained. The effectiveness of the proposed method is verified by a dc motor-controlled inverted pendulum system.\",\"PeriodicalId\":13212,\"journal\":{\"name\":\"IEEE Transactions on Fuzzy Systems\",\"volume\":\"32 11\",\"pages\":\"6588-6593\"},\"PeriodicalIF\":10.7000,\"publicationDate\":\"2024-09-12\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"IEEE Transactions on Fuzzy Systems\",\"FirstCategoryId\":\"94\",\"ListUrlMain\":\"https://ieeexplore.ieee.org/document/10678919/\",\"RegionNum\":1,\"RegionCategory\":\"计算机科学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q1\",\"JCRName\":\"COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"IEEE Transactions on Fuzzy Systems","FirstCategoryId":"94","ListUrlMain":"https://ieeexplore.ieee.org/document/10678919/","RegionNum":1,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE","Score":null,"Total":0}
State and Fault Interval Estimation for Discrete-Time Takagi–Sugeno Fuzzy Systems via Intermediate Observer Base on Zonotopic Analysis
In this article, we study state and fault interval estimation method for discrete-time Takagi–Sugeno fuzzy systems. First, a novel intermediate observer via T-N-L structure with
$H_{\infty }$
performance is designed. The intermediate observer proposed is designed with a higher degree of freedom due to the introduction of two auxiliary variables. Second, based on this novel intermediate observer, zonotopic analysis is utilized to give a range of the effects of unknown inputs and fault derivatives on state and fault estimation, thus interval estimation results for state and fault are obtained. The effectiveness of the proposed method is verified by a dc motor-controlled inverted pendulum system.
期刊介绍:
The IEEE Transactions on Fuzzy Systems is a scholarly journal that focuses on the theory, design, and application of fuzzy systems. It aims to publish high-quality technical papers that contribute significant technical knowledge and exploratory developments in the field of fuzzy systems. The journal particularly emphasizes engineering systems and scientific applications. In addition to research articles, the Transactions also includes a letters section featuring current information, comments, and rebuttals related to published papers.