{"title":"不确定Newton-Leipnik混沌系统的自适应模糊终端滑模同步","authors":"Xiaomeng Cui, Xiaoshan Zhao, Yongfeng Guo, Xiang Li, Pengyu Hou","doi":"10.1109/ICCAR49639.2020.9107996","DOIUrl":null,"url":null,"abstract":"Based on fuzzy adaptive sliding mode control theories, we study the synchronization of fractional uncertain Newton-Leipnik system. In this paper, we design non-singular fractional sliding mode surfaces of error systems by using terminal sliding mode control theories. It is verified that the system is in equilibrium and then synchronized through Lyapunov stability theory. To reduce chattering, a fuzzy controller is designed. Finally, the feasibility and effectiveness of the method are verified by numerical simulation.","PeriodicalId":412255,"journal":{"name":"2020 6th International Conference on Control, Automation and Robotics (ICCAR)","volume":"89 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2020-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":"{\"title\":\"Adaptive Fuzzy Terminal Sliding Mode Synchronization of Uncertain Newton-Leipnik Chaotic System\",\"authors\":\"Xiaomeng Cui, Xiaoshan Zhao, Yongfeng Guo, Xiang Li, Pengyu Hou\",\"doi\":\"10.1109/ICCAR49639.2020.9107996\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Based on fuzzy adaptive sliding mode control theories, we study the synchronization of fractional uncertain Newton-Leipnik system. In this paper, we design non-singular fractional sliding mode surfaces of error systems by using terminal sliding mode control theories. It is verified that the system is in equilibrium and then synchronized through Lyapunov stability theory. To reduce chattering, a fuzzy controller is designed. Finally, the feasibility and effectiveness of the method are verified by numerical simulation.\",\"PeriodicalId\":412255,\"journal\":{\"name\":\"2020 6th International Conference on Control, Automation and Robotics (ICCAR)\",\"volume\":\"89 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2020-04-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"2\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2020 6th International Conference on Control, Automation and Robotics (ICCAR)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/ICCAR49639.2020.9107996\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2020 6th International Conference on Control, Automation and Robotics (ICCAR)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ICCAR49639.2020.9107996","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Adaptive Fuzzy Terminal Sliding Mode Synchronization of Uncertain Newton-Leipnik Chaotic System
Based on fuzzy adaptive sliding mode control theories, we study the synchronization of fractional uncertain Newton-Leipnik system. In this paper, we design non-singular fractional sliding mode surfaces of error systems by using terminal sliding mode control theories. It is verified that the system is in equilibrium and then synchronized through Lyapunov stability theory. To reduce chattering, a fuzzy controller is designed. Finally, the feasibility and effectiveness of the method are verified by numerical simulation.