Ivan Gushkov;Amer Orucevic;Kristin Y. Pettersen;Weijia Yao;Marianna Wrzos-Kaminska;Jan Tommy Gravdahl
{"title":"Vector Field Path Following of Time-Varying Sinusoidal Paths for Underwater Snake Robots","authors":"Ivan Gushkov;Amer Orucevic;Kristin Y. Pettersen;Weijia Yao;Marianna Wrzos-Kaminska;Jan Tommy Gravdahl","doi":"10.1109/TCST.2026.3677852","DOIUrl":null,"url":null,"abstract":"In this article, a guiding vector field (GVF) approach is applied to solve the path-following problem of a time-varying sinusoidal path for an underwater snake robot (USR). The time-varying path-following application is motivated from one of the promising use cases for USRs: underwater exploration and energy autonomy. We present a Lyapunov design method for GVFs, which accounts for the time-varying nature of the path. The GVF is formally shown to make the path-following error dynamics uniform semiglobal exponential stable (USGES). A sliding mode velocity controller for the USR is designed, and the path-following error dynamics for the normalized GVF are analyzed through cascaded systems theory. The cascade is shown to be globally uniformly asymptotically stable (GUAS) when perturbed by a uniformly bounded interconnection term which vanishes with the heading error. Results from a simulation study in a high fidelity computational fluid dynamics (CFDs) simulator are presented, validating the design approach.","PeriodicalId":13103,"journal":{"name":"IEEE Transactions on Control Systems Technology","volume":"34 3","pages":"1507-1519"},"PeriodicalIF":4.4000,"publicationDate":"2026-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"IEEE Transactions on Control Systems Technology","FirstCategoryId":"94","ListUrlMain":"https://ieeexplore.ieee.org/document/11498397/","RegionNum":2,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"2026/4/29 0:00:00","PubModel":"Epub","JCR":"Q1","JCRName":"AUTOMATION & CONTROL SYSTEMS","Score":null,"Total":0}
引用次数: 0
Abstract
In this article, a guiding vector field (GVF) approach is applied to solve the path-following problem of a time-varying sinusoidal path for an underwater snake robot (USR). The time-varying path-following application is motivated from one of the promising use cases for USRs: underwater exploration and energy autonomy. We present a Lyapunov design method for GVFs, which accounts for the time-varying nature of the path. The GVF is formally shown to make the path-following error dynamics uniform semiglobal exponential stable (USGES). A sliding mode velocity controller for the USR is designed, and the path-following error dynamics for the normalized GVF are analyzed through cascaded systems theory. The cascade is shown to be globally uniformly asymptotically stable (GUAS) when perturbed by a uniformly bounded interconnection term which vanishes with the heading error. Results from a simulation study in a high fidelity computational fluid dynamics (CFDs) simulator are presented, validating the design approach.
期刊介绍:
The IEEE Transactions on Control Systems Technology publishes high quality technical papers on technological advances in control engineering. The word technology is from the Greek technologia. The modern meaning is a scientific method to achieve a practical purpose. Control Systems Technology includes all aspects of control engineering needed to implement practical control systems, from analysis and design, through simulation and hardware. A primary purpose of the IEEE Transactions on Control Systems Technology is to have an archival publication which will bridge the gap between theory and practice. Papers are published in the IEEE Transactions on Control System Technology which disclose significant new knowledge, exploratory developments, or practical applications in all aspects of technology needed to implement control systems, from analysis and design through simulation, and hardware.