Yi Chang , Yiqi Wang , Zhiguang Feng , Ruifeng Zhu
{"title":"Research on adaptive neural networks spatial trajectory tracking control problem of an underactuated AUV under disturbances","authors":"Yi Chang , Yiqi Wang , Zhiguang Feng , Ruifeng Zhu","doi":"10.1016/j.jfranklin.2026.108433","DOIUrl":null,"url":null,"abstract":"<div><div>This paper studies the spatial trajectory tracking control issue for an underactuated autonomous underwater vehicle (AUV) with disturbances. Firstly, by performing coordinate transformation, a strict-feedback form of error variables is constructed, which facilitates the design of the scheme using the backstepping method. Secondly, neural networks are introduced to approximate the disturbances and the complex dynamic of AUV, which not only reduces the requirement for model accuracy in the backstepping method, but also simplifies the design process. At the same time, the inevitable problem of “computational explosion” in the backstepping method is solved by the command filter, and combined with the adaptive control method, the weights of the neural networks are adjusted online to complete the design of the adaptive neural networks command filter controllers. Lyapunov theory analysis demonstrates that all signals are ultimately bounded, and the tracking error converges to a small neighborhood near the origin. Finally, a comparative simulation is provided to validate the effectiveness and superiority of the designed control scheme.</div></div>","PeriodicalId":17283,"journal":{"name":"Journal of The Franklin Institute-engineering and Applied Mathematics","volume":"363 4","pages":"Article 108433"},"PeriodicalIF":3.7000,"publicationDate":"2026-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of The Franklin Institute-engineering and Applied Mathematics","FirstCategoryId":"94","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0016003226000335","RegionNum":3,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"2026/1/22 0:00:00","PubModel":"Epub","JCR":"Q2","JCRName":"AUTOMATION & CONTROL SYSTEMS","Score":null,"Total":0}
引用次数: 0
Abstract
This paper studies the spatial trajectory tracking control issue for an underactuated autonomous underwater vehicle (AUV) with disturbances. Firstly, by performing coordinate transformation, a strict-feedback form of error variables is constructed, which facilitates the design of the scheme using the backstepping method. Secondly, neural networks are introduced to approximate the disturbances and the complex dynamic of AUV, which not only reduces the requirement for model accuracy in the backstepping method, but also simplifies the design process. At the same time, the inevitable problem of “computational explosion” in the backstepping method is solved by the command filter, and combined with the adaptive control method, the weights of the neural networks are adjusted online to complete the design of the adaptive neural networks command filter controllers. Lyapunov theory analysis demonstrates that all signals are ultimately bounded, and the tracking error converges to a small neighborhood near the origin. Finally, a comparative simulation is provided to validate the effectiveness and superiority of the designed control scheme.
期刊介绍:
The Journal of The Franklin Institute has an established reputation for publishing high-quality papers in the field of engineering and applied mathematics. Its current focus is on control systems, complex networks and dynamic systems, signal processing and communications and their applications. All submitted papers are peer-reviewed. The Journal will publish original research papers and research review papers of substance. Papers and special focus issues are judged upon possible lasting value, which has been and continues to be the strength of the Journal of The Franklin Institute.