{"title":"多执行器约束非线性系统的预定义时间模糊输出反馈控制","authors":"Libin Wang, Junlong Niu, Wei Wang","doi":"10.1007/s40815-024-01786-0","DOIUrl":null,"url":null,"abstract":"<p>In this paper, a predefined-time adaptive fuzzy tracking control method is proposed for uncertain nonlinear systems with multiple actuator constraints and external disturbances. The unknown dynamic part of the system is dealt with by means of the fuzzy approximation theory, and the unmeasured state in the system is approximated by the constructed fuzzy state observer. On the basis of the observer, a novel predefined-time control scheme is developed to ensure that the system can achieve the practical predefined time stable (PPTS). Combined with the stability analysis, the virtual control input with predefined time can be obtained, and its derivative can be estimated by the first-order filter. Theoretical analysis shows that the proposed controller achieves a small residual set of error convergence to the origin in a predefined time. Finally, the feasibility of the theoretical results is demonstrated through simulation examples.</p>","PeriodicalId":14056,"journal":{"name":"International Journal of Fuzzy Systems","volume":"36 1","pages":""},"PeriodicalIF":3.6000,"publicationDate":"2024-07-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Predefined-time Fuzzy Output Feedback Control for Nonlinear Systems with Multiple Actuator Constraints\",\"authors\":\"Libin Wang, Junlong Niu, Wei Wang\",\"doi\":\"10.1007/s40815-024-01786-0\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<p>In this paper, a predefined-time adaptive fuzzy tracking control method is proposed for uncertain nonlinear systems with multiple actuator constraints and external disturbances. The unknown dynamic part of the system is dealt with by means of the fuzzy approximation theory, and the unmeasured state in the system is approximated by the constructed fuzzy state observer. On the basis of the observer, a novel predefined-time control scheme is developed to ensure that the system can achieve the practical predefined time stable (PPTS). Combined with the stability analysis, the virtual control input with predefined time can be obtained, and its derivative can be estimated by the first-order filter. Theoretical analysis shows that the proposed controller achieves a small residual set of error convergence to the origin in a predefined time. Finally, the feasibility of the theoretical results is demonstrated through simulation examples.</p>\",\"PeriodicalId\":14056,\"journal\":{\"name\":\"International Journal of Fuzzy Systems\",\"volume\":\"36 1\",\"pages\":\"\"},\"PeriodicalIF\":3.6000,\"publicationDate\":\"2024-07-17\",\"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/s40815-024-01786-0\",\"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}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"International Journal of Fuzzy Systems","FirstCategoryId":"94","ListUrlMain":"https://doi.org/10.1007/s40815-024-01786-0","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}
Predefined-time Fuzzy Output Feedback Control for Nonlinear Systems with Multiple Actuator Constraints
In this paper, a predefined-time adaptive fuzzy tracking control method is proposed for uncertain nonlinear systems with multiple actuator constraints and external disturbances. The unknown dynamic part of the system is dealt with by means of the fuzzy approximation theory, and the unmeasured state in the system is approximated by the constructed fuzzy state observer. On the basis of the observer, a novel predefined-time control scheme is developed to ensure that the system can achieve the practical predefined time stable (PPTS). Combined with the stability analysis, the virtual control input with predefined time can be obtained, and its derivative can be estimated by the first-order filter. Theoretical analysis shows that the proposed controller achieves a small residual set of error convergence to the origin in a predefined time. Finally, the feasibility of the theoretical results is demonstrated through simulation examples.
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.