Adaptive Second-Order Fast Terminal Sliding-Mode Formation Control for Unmanned Surface Vehicles

The formation control of unmanned surface vehicles (USVs) while considering communication topology, dynamic model uncertainties, environmental disturbances, and a fast convergence rate is addressed in this paper. First, graph theory is introduced to describe the connective relationships and establis...

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Main Authors: Duansong Wang, Min Kong, Gang Zhang, Xiaoling Liang
Format: Article
Language:English
Published: MDPI AG 2022-11-01
Series:Journal of Marine Science and Engineering
Subjects:
Online Access:https://www.mdpi.com/2077-1312/10/11/1782
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author Duansong Wang
Min Kong
Gang Zhang
Xiaoling Liang
author_facet Duansong Wang
Min Kong
Gang Zhang
Xiaoling Liang
author_sort Duansong Wang
collection DOAJ
description The formation control of unmanned surface vehicles (USVs) while considering communication topology, dynamic model uncertainties, environmental disturbances, and a fast convergence rate is addressed in this paper. First, graph theory is introduced to describe the connective relationships and establish generalized formation errors among USVs. Then, a second-order fast nonsingular terminal sliding-mode control (SOFNTSMC) is designed to guarantee that the system converges quickly and without chatter. An adaptive update law is designed in order to estimate the model uncertainties and external disturbances without the requirement of the boundary information of the system uncertainties. With the application of the adaptive SOFNTSMC (ASOFNTSMC) and graph theory, a distributed control is developed for every USV to perform the desired formation pattern. Finally, the results of simulations and comparisons demonstrate the effectiveness of the proposed method.
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spelling doaj.art-69080c456d8c46a4b3db9ac80107dbf92023-11-24T08:52:51ZengMDPI AGJournal of Marine Science and Engineering2077-13122022-11-011011178210.3390/jmse10111782Adaptive Second-Order Fast Terminal Sliding-Mode Formation Control for Unmanned Surface VehiclesDuansong Wang0Min Kong1Gang Zhang2Xiaoling Liang3School of Electrical and Photoelectronic Engineering, West Anhui University, Lu’an 237012, ChinaSchool of Electrical and Photoelectronic Engineering, West Anhui University, Lu’an 237012, ChinaSchool of Electrical and Photoelectronic Engineering, West Anhui University, Lu’an 237012, ChinaDepartment of Marine Engineering, Dalian Maritime University, Dalian 116026, ChinaThe formation control of unmanned surface vehicles (USVs) while considering communication topology, dynamic model uncertainties, environmental disturbances, and a fast convergence rate is addressed in this paper. First, graph theory is introduced to describe the connective relationships and establish generalized formation errors among USVs. Then, a second-order fast nonsingular terminal sliding-mode control (SOFNTSMC) is designed to guarantee that the system converges quickly and without chatter. An adaptive update law is designed in order to estimate the model uncertainties and external disturbances without the requirement of the boundary information of the system uncertainties. With the application of the adaptive SOFNTSMC (ASOFNTSMC) and graph theory, a distributed control is developed for every USV to perform the desired formation pattern. Finally, the results of simulations and comparisons demonstrate the effectiveness of the proposed method.https://www.mdpi.com/2077-1312/10/11/1782unmanned surface vehiclesformation controlgraph theoryadaptive second-order fast sliding mode
spellingShingle Duansong Wang
Min Kong
Gang Zhang
Xiaoling Liang
Adaptive Second-Order Fast Terminal Sliding-Mode Formation Control for Unmanned Surface Vehicles
Journal of Marine Science and Engineering
unmanned surface vehicles
formation control
graph theory
adaptive second-order fast sliding mode
title Adaptive Second-Order Fast Terminal Sliding-Mode Formation Control for Unmanned Surface Vehicles
title_full Adaptive Second-Order Fast Terminal Sliding-Mode Formation Control for Unmanned Surface Vehicles
title_fullStr Adaptive Second-Order Fast Terminal Sliding-Mode Formation Control for Unmanned Surface Vehicles
title_full_unstemmed Adaptive Second-Order Fast Terminal Sliding-Mode Formation Control for Unmanned Surface Vehicles
title_short Adaptive Second-Order Fast Terminal Sliding-Mode Formation Control for Unmanned Surface Vehicles
title_sort adaptive second order fast terminal sliding mode formation control for unmanned surface vehicles
topic unmanned surface vehicles
formation control
graph theory
adaptive second-order fast sliding mode
url https://www.mdpi.com/2077-1312/10/11/1782
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AT minkong adaptivesecondorderfastterminalslidingmodeformationcontrolforunmannedsurfacevehicles
AT gangzhang adaptivesecondorderfastterminalslidingmodeformationcontrolforunmannedsurfacevehicles
AT xiaolingliang adaptivesecondorderfastterminalslidingmodeformationcontrolforunmannedsurfacevehicles