Jiafeng Li , Hao Yan , Ruihang Ji , Xiaoling Liang , Shuzhi Sam Ge
{"title":"具有死区随机系统的有限时间事件触发预定控制","authors":"Jiafeng Li , Hao Yan , Ruihang Ji , Xiaoling Liang , Shuzhi Sam Ge","doi":"10.1016/j.fss.2025.109406","DOIUrl":null,"url":null,"abstract":"<div><div>This paper addresses the problem of finite-time event-triggered prescribed performance control for stochastic systems with unknown dead-zone effects. A fuzzy state observer is developed to estimate unknown states, while fuzzy logic systems are used to approximate the nonlinear dynamics. To construct the prescribed performance controller, dynamic surface control technology is integrated to overcome the computational explosion problem associated with backstepping control, thereby reducing computational complexity. The proposed control method ensures bounded closed-loop system states and confines the tracking error within a small neighborhood of the equilibrium point in finite time, even with unknown input dead-zone. Finally, the effectiveness of the proposed method is demonstrated by simulations.</div></div>","PeriodicalId":55130,"journal":{"name":"Fuzzy Sets and Systems","volume":"514 ","pages":"Article 109406"},"PeriodicalIF":3.2000,"publicationDate":"2025-04-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Finite-time event-triggered prescribed control for stochastic systems with dead-zone\",\"authors\":\"Jiafeng Li , Hao Yan , Ruihang Ji , Xiaoling Liang , Shuzhi Sam Ge\",\"doi\":\"10.1016/j.fss.2025.109406\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><div>This paper addresses the problem of finite-time event-triggered prescribed performance control for stochastic systems with unknown dead-zone effects. A fuzzy state observer is developed to estimate unknown states, while fuzzy logic systems are used to approximate the nonlinear dynamics. To construct the prescribed performance controller, dynamic surface control technology is integrated to overcome the computational explosion problem associated with backstepping control, thereby reducing computational complexity. The proposed control method ensures bounded closed-loop system states and confines the tracking error within a small neighborhood of the equilibrium point in finite time, even with unknown input dead-zone. Finally, the effectiveness of the proposed method is demonstrated by simulations.</div></div>\",\"PeriodicalId\":55130,\"journal\":{\"name\":\"Fuzzy Sets and Systems\",\"volume\":\"514 \",\"pages\":\"Article 109406\"},\"PeriodicalIF\":3.2000,\"publicationDate\":\"2025-04-10\",\"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/S0165011425001459\",\"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}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Fuzzy Sets and Systems","FirstCategoryId":"100","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0165011425001459","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}
Finite-time event-triggered prescribed control for stochastic systems with dead-zone
This paper addresses the problem of finite-time event-triggered prescribed performance control for stochastic systems with unknown dead-zone effects. A fuzzy state observer is developed to estimate unknown states, while fuzzy logic systems are used to approximate the nonlinear dynamics. To construct the prescribed performance controller, dynamic surface control technology is integrated to overcome the computational explosion problem associated with backstepping control, thereby reducing computational complexity. The proposed control method ensures bounded closed-loop system states and confines the tracking error within a small neighborhood of the equilibrium point in finite time, even with unknown input dead-zone. Finally, the effectiveness of the proposed method is demonstrated by simulations.
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.