Predefined-Time Hybrid Tracking Control for Dynamic Positioning Vessels Based on Fully Actuated Approach

This study investigates the problem of tracking the trajectory of a dynamic positioning (DP) ship under sudden surges of elevated sea states. First, the tracking problem is reformulated as an error calibration problem through the introduction of fully actuated system (FAS) approaches, thereby simpli...

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Main Authors: Yujie Xu, Yingjie Wang, Mingyu Fu, Hao Chen
Format: Article
Language:English
Published: MDPI AG 2024-11-01
Series:Journal of Marine Science and Engineering
Subjects:
Online Access:https://www.mdpi.com/2077-1312/12/11/2025
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author Yujie Xu
Yingjie Wang
Mingyu Fu
Hao Chen
author_facet Yujie Xu
Yingjie Wang
Mingyu Fu
Hao Chen
author_sort Yujie Xu
collection DOAJ
description This study investigates the problem of tracking the trajectory of a dynamic positioning (DP) ship under sudden surges of elevated sea states. First, the tracking problem is reformulated as an error calibration problem through the introduction of fully actuated system (FAS) approaches, thereby simplifying controller design. Second, a predefined-time control term is designed to maintain the convergence time of the trajectory tracking error within a specified range; however, the upper bound of the perturbation must be estimated in advance. The high sea state during operation can result in an abrupt change in the upper bound of disturbance, thereby affecting the control accuracy and stability of the system. Therefore, a linear control matrix is developed to eliminate the system’s dependence on the estimation of the upper bound of disturbance following smooth switching, thereby achieving control decoupling and providing a conservative switching time. Additionally, a nonlinear reduced-order expansion observer (RESO) is constructed for feedforward compensation. The stability of the system is demonstrated using the Lyapunov function, indicating that the selection of appropriate poles can theoretically enhance the system’s convergence with greater control accuracy and robustness after switching. Finally, the effectiveness of the proposed method is validated through simulations and comparative experiments.
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institution OA Journals
issn 2077-1312
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spelling doaj-art-ce89dce917ae4a148a708c309fabbb662025-08-20T01:54:07ZengMDPI AGJournal of Marine Science and Engineering2077-13122024-11-011211202510.3390/jmse12112025Predefined-Time Hybrid Tracking Control for Dynamic Positioning Vessels Based on Fully Actuated ApproachYujie Xu0Yingjie Wang1Mingyu Fu2Hao Chen3College of Intelligent Systems Science and Engineering, Harbin Engineering University, Harbin 150001, ChinaCollege of Intelligent Systems Science and Engineering, Harbin Engineering University, Harbin 150001, ChinaCollege of Intelligent Systems Science and Engineering, Harbin Engineering University, Harbin 150001, ChinaCollege of Intelligent Systems Science and Engineering, Harbin Engineering University, Harbin 150001, ChinaThis study investigates the problem of tracking the trajectory of a dynamic positioning (DP) ship under sudden surges of elevated sea states. First, the tracking problem is reformulated as an error calibration problem through the introduction of fully actuated system (FAS) approaches, thereby simplifying controller design. Second, a predefined-time control term is designed to maintain the convergence time of the trajectory tracking error within a specified range; however, the upper bound of the perturbation must be estimated in advance. The high sea state during operation can result in an abrupt change in the upper bound of disturbance, thereby affecting the control accuracy and stability of the system. Therefore, a linear control matrix is developed to eliminate the system’s dependence on the estimation of the upper bound of disturbance following smooth switching, thereby achieving control decoupling and providing a conservative switching time. Additionally, a nonlinear reduced-order expansion observer (RESO) is constructed for feedforward compensation. The stability of the system is demonstrated using the Lyapunov function, indicating that the selection of appropriate poles can theoretically enhance the system’s convergence with greater control accuracy and robustness after switching. Finally, the effectiveness of the proposed method is validated through simulations and comparative experiments.https://www.mdpi.com/2077-1312/12/11/2025predefined-timetrajectory trackinghybrid controldynamic positioningFASRESO
spellingShingle Yujie Xu
Yingjie Wang
Mingyu Fu
Hao Chen
Predefined-Time Hybrid Tracking Control for Dynamic Positioning Vessels Based on Fully Actuated Approach
Journal of Marine Science and Engineering
predefined-time
trajectory tracking
hybrid control
dynamic positioning
FAS
RESO
title Predefined-Time Hybrid Tracking Control for Dynamic Positioning Vessels Based on Fully Actuated Approach
title_full Predefined-Time Hybrid Tracking Control for Dynamic Positioning Vessels Based on Fully Actuated Approach
title_fullStr Predefined-Time Hybrid Tracking Control for Dynamic Positioning Vessels Based on Fully Actuated Approach
title_full_unstemmed Predefined-Time Hybrid Tracking Control for Dynamic Positioning Vessels Based on Fully Actuated Approach
title_short Predefined-Time Hybrid Tracking Control for Dynamic Positioning Vessels Based on Fully Actuated Approach
title_sort predefined time hybrid tracking control for dynamic positioning vessels based on fully actuated approach
topic predefined-time
trajectory tracking
hybrid control
dynamic positioning
FAS
RESO
url https://www.mdpi.com/2077-1312/12/11/2025
work_keys_str_mv AT yujiexu predefinedtimehybridtrackingcontrolfordynamicpositioningvesselsbasedonfullyactuatedapproach
AT yingjiewang predefinedtimehybridtrackingcontrolfordynamicpositioningvesselsbasedonfullyactuatedapproach
AT mingyufu predefinedtimehybridtrackingcontrolfordynamicpositioningvesselsbasedonfullyactuatedapproach
AT haochen predefinedtimehybridtrackingcontrolfordynamicpositioningvesselsbasedonfullyactuatedapproach