Formation Control of Multiple Underactuated Surface Vehicles Based on Prescribed-Time Method

This paper investigates the formation control problem of multiple underactuated surface vehicles (USVs). By utilizing input and state transformations, the dynamic model of the USV is converted into an equivalent system consisting of two cascade-connected subsystems. For one of the subsystems, by com...

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Main Authors: Pengfei Zhang, Tingting Yang, Dong Li
Format: Article
Language:English
Published: IEEE 2020-01-01
Series:IEEE Access
Subjects:
Online Access:https://ieeexplore.ieee.org/document/9169640/
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author Pengfei Zhang
Tingting Yang
Dong Li
author_facet Pengfei Zhang
Tingting Yang
Dong Li
author_sort Pengfei Zhang
collection DOAJ
description This paper investigates the formation control problem of multiple underactuated surface vehicles (USVs). By utilizing input and state transformations, the dynamic model of the USV is converted into an equivalent system consisting of two cascade-connected subsystems. For one of the subsystems, by combining back-stepping method with time-varying scale functions, <inline-formula> <tex-math notation="LaTeX">$C_{1}$ </tex-math></inline-formula> smooth prescribed-time control laws are presented. This approach is proved to stabilize the transformed subsystem in the fixed time and address the formation problem while guaranteeing global exponential stabilization. Simulations are given to demonstrate the effectiveness of the presented method.
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spelling doaj.art-472e4e6d934a437ebf2392007d316cd72022-12-22T03:47:07ZengIEEEIEEE Access2169-35362020-01-01815137115138210.1109/ACCESS.2020.30169809169640Formation Control of Multiple Underactuated Surface Vehicles Based on Prescribed-Time MethodPengfei Zhang0https://orcid.org/0000-0003-1628-4450Tingting Yang1Dong Li2School of Engineering, Huzhou University, Huzhou, ChinaSchool of Engineering, Huzhou University, Huzhou, ChinaDepartment of Mechanical and Electrical Engineering, Wuhan City Vocational University, Wuhan, ChinaThis paper investigates the formation control problem of multiple underactuated surface vehicles (USVs). By utilizing input and state transformations, the dynamic model of the USV is converted into an equivalent system consisting of two cascade-connected subsystems. For one of the subsystems, by combining back-stepping method with time-varying scale functions, <inline-formula> <tex-math notation="LaTeX">$C_{1}$ </tex-math></inline-formula> smooth prescribed-time control laws are presented. This approach is proved to stabilize the transformed subsystem in the fixed time and address the formation problem while guaranteeing global exponential stabilization. Simulations are given to demonstrate the effectiveness of the presented method.https://ieeexplore.ieee.org/document/9169640/Exponential stabilityformation controlprescribed-time methodunderactuated surface vehicles
spellingShingle Pengfei Zhang
Tingting Yang
Dong Li
Formation Control of Multiple Underactuated Surface Vehicles Based on Prescribed-Time Method
IEEE Access
Exponential stability
formation control
prescribed-time method
underactuated surface vehicles
title Formation Control of Multiple Underactuated Surface Vehicles Based on Prescribed-Time Method
title_full Formation Control of Multiple Underactuated Surface Vehicles Based on Prescribed-Time Method
title_fullStr Formation Control of Multiple Underactuated Surface Vehicles Based on Prescribed-Time Method
title_full_unstemmed Formation Control of Multiple Underactuated Surface Vehicles Based on Prescribed-Time Method
title_short Formation Control of Multiple Underactuated Surface Vehicles Based on Prescribed-Time Method
title_sort formation control of multiple underactuated surface vehicles based on prescribed time method
topic Exponential stability
formation control
prescribed-time method
underactuated surface vehicles
url https://ieeexplore.ieee.org/document/9169640/
work_keys_str_mv AT pengfeizhang formationcontrolofmultipleunderactuatedsurfacevehiclesbasedonprescribedtimemethod
AT tingtingyang formationcontrolofmultipleunderactuatedsurfacevehiclesbasedonprescribedtimemethod
AT dongli formationcontrolofmultipleunderactuatedsurfacevehiclesbasedonprescribedtimemethod