Adaptive Formation Control of Multiple Underactuated Autonomous Underwater Vehicles

In this paper, we present a 3D formation control scheme for a group of torpedo-type underactuated autonomous underwater vehicles (AUVs). These multiple AUVs combined with an unmanned surface vessel (USV) construct a sort of star-topology acoustic communication network where the USV is at the center...

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Main Authors: Ji-Hong Li, Hyungjoo Kang, Min-Gyu Kim, Mun-Jik Lee, Gun Rae Cho, Han-Sol Jin
Format: Article
Language:English
Published: MDPI AG 2022-09-01
Series:Journal of Marine Science and Engineering
Subjects:
Online Access:https://www.mdpi.com/2077-1312/10/9/1233
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author Ji-Hong Li
Hyungjoo Kang
Min-Gyu Kim
Mun-Jik Lee
Gun Rae Cho
Han-Sol Jin
author_facet Ji-Hong Li
Hyungjoo Kang
Min-Gyu Kim
Mun-Jik Lee
Gun Rae Cho
Han-Sol Jin
author_sort Ji-Hong Li
collection DOAJ
description In this paper, we present a 3D formation control scheme for a group of torpedo-type underactuated autonomous underwater vehicles (AUVs). These multiple AUVs combined with an unmanned surface vessel (USV) construct a sort of star-topology acoustic communication network where the USV is at the center point. Due to this kind of topological feature, this paper applies a virtual school concept. This is a geometric graph where each node is taken as a virtual leader for each specific AUV and assigned its own reference trajectory. For each individual vehicle, its formation strategy is simple: just follow the trajectory of its corresponding virtual leader so as for multiple AUVs to compose the given formation. As for the formation subject, this paper mainly focuses on the formation tracking problem rather than the formation producing. For the torpedo-type vehicle considered in this paper, there are only three control inputs (surge force, pitch, and yaw moments) available for its underwater 3D motion and therefore this is a typical underactuated system. For the following vehicle’s trajectory, a sort of potential field method is used for obstacle avoidance, and a neural network-based adaptive scheme is applied to on-line approximate the vehicle’s unknown nonlinear dynamics, and the uncertainty terms including modeling errors, measurement noises, and external disturbances are handled by the properly designed robust scheme. The proposed formation method can guarantee the uniform ultimate boundedness (UUB) of the closed-loop system. Numerical studies are also carried out to verify the effectiveness of the proposed scheme.
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spelling doaj.art-fce5c0ddf4ac4adeb313e332c2f6d1ac2023-11-23T17:06:54ZengMDPI AGJournal of Marine Science and Engineering2077-13122022-09-01109123310.3390/jmse10091233Adaptive Formation Control of Multiple Underactuated Autonomous Underwater VehiclesJi-Hong Li0Hyungjoo Kang1Min-Gyu Kim2Mun-Jik Lee3Gun Rae Cho4Han-Sol Jin5Intelligent Robotics R&D Division, Korea Institute of Robotics and Technology Convergence, Jigok-Ro 39, Nam-Gu, Pohang 37666, KoreaIntelligent Robotics R&D Division, Korea Institute of Robotics and Technology Convergence, Jigok-Ro 39, Nam-Gu, Pohang 37666, KoreaIntelligent Robotics R&D Division, Korea Institute of Robotics and Technology Convergence, Jigok-Ro 39, Nam-Gu, Pohang 37666, KoreaIntelligent Robotics R&D Division, Korea Institute of Robotics and Technology Convergence, Jigok-Ro 39, Nam-Gu, Pohang 37666, KoreaIntelligent Robotics R&D Division, Korea Institute of Robotics and Technology Convergence, Jigok-Ro 39, Nam-Gu, Pohang 37666, KoreaIntelligent Robotics R&D Division, Korea Institute of Robotics and Technology Convergence, Jigok-Ro 39, Nam-Gu, Pohang 37666, KoreaIn this paper, we present a 3D formation control scheme for a group of torpedo-type underactuated autonomous underwater vehicles (AUVs). These multiple AUVs combined with an unmanned surface vessel (USV) construct a sort of star-topology acoustic communication network where the USV is at the center point. Due to this kind of topological feature, this paper applies a virtual school concept. This is a geometric graph where each node is taken as a virtual leader for each specific AUV and assigned its own reference trajectory. For each individual vehicle, its formation strategy is simple: just follow the trajectory of its corresponding virtual leader so as for multiple AUVs to compose the given formation. As for the formation subject, this paper mainly focuses on the formation tracking problem rather than the formation producing. For the torpedo-type vehicle considered in this paper, there are only three control inputs (surge force, pitch, and yaw moments) available for its underwater 3D motion and therefore this is a typical underactuated system. For the following vehicle’s trajectory, a sort of potential field method is used for obstacle avoidance, and a neural network-based adaptive scheme is applied to on-line approximate the vehicle’s unknown nonlinear dynamics, and the uncertainty terms including modeling errors, measurement noises, and external disturbances are handled by the properly designed robust scheme. The proposed formation method can guarantee the uniform ultimate boundedness (UUB) of the closed-loop system. Numerical studies are also carried out to verify the effectiveness of the proposed scheme.https://www.mdpi.com/2077-1312/10/9/1233formation controlunderactuated systemspotential field methodLyapunov direct methodrobust adaptive control
spellingShingle Ji-Hong Li
Hyungjoo Kang
Min-Gyu Kim
Mun-Jik Lee
Gun Rae Cho
Han-Sol Jin
Adaptive Formation Control of Multiple Underactuated Autonomous Underwater Vehicles
Journal of Marine Science and Engineering
formation control
underactuated systems
potential field method
Lyapunov direct method
robust adaptive control
title Adaptive Formation Control of Multiple Underactuated Autonomous Underwater Vehicles
title_full Adaptive Formation Control of Multiple Underactuated Autonomous Underwater Vehicles
title_fullStr Adaptive Formation Control of Multiple Underactuated Autonomous Underwater Vehicles
title_full_unstemmed Adaptive Formation Control of Multiple Underactuated Autonomous Underwater Vehicles
title_short Adaptive Formation Control of Multiple Underactuated Autonomous Underwater Vehicles
title_sort adaptive formation control of multiple underactuated autonomous underwater vehicles
topic formation control
underactuated systems
potential field method
Lyapunov direct method
robust adaptive control
url https://www.mdpi.com/2077-1312/10/9/1233
work_keys_str_mv AT jihongli adaptiveformationcontrolofmultipleunderactuatedautonomousunderwatervehicles
AT hyungjookang adaptiveformationcontrolofmultipleunderactuatedautonomousunderwatervehicles
AT mingyukim adaptiveformationcontrolofmultipleunderactuatedautonomousunderwatervehicles
AT munjiklee adaptiveformationcontrolofmultipleunderactuatedautonomousunderwatervehicles
AT gunraecho adaptiveformationcontrolofmultipleunderactuatedautonomousunderwatervehicles
AT hansoljin adaptiveformationcontrolofmultipleunderactuatedautonomousunderwatervehicles