Robust Coordinated Formation for Multiple Surface Vessels Based on Backstepping Sliding Mode Control

We investigate the problem of coordinated formation control for multiple surface vessels in the presence of unknown external disturbances. In order to realize the leaderless coordinated formation and achieve the robustness against unknown external disturbances, a new robust coordinated formation con...

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Main Authors: Mingyu Fu, Jianfang Jiao, Shen Yin
Format: Article
Language:English
Published: Wiley 2013-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2013/681319
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author Mingyu Fu
Jianfang Jiao
Shen Yin
author_facet Mingyu Fu
Jianfang Jiao
Shen Yin
author_sort Mingyu Fu
collection DOAJ
description We investigate the problem of coordinated formation control for multiple surface vessels in the presence of unknown external disturbances. In order to realize the leaderless coordinated formation and achieve the robustness against unknown external disturbances, a new robust coordinated formation control algorithm based on backstepping sliding mode control is proposed. The proposed coordinated control algorithm is achieved by defining a new switched function using the combination of position tracking error and cross-coupling error. Particularly, the cross-coupling error is defined using velocity tracking error and velocity synchronization error so as to be applicable for sliding mode controller design. Furthermore, the adaptive control law is proposed to estimate unknown disturbances for each vessel. The globally asymptotically stability is proved using the Lyapunov direct method. Finally, the effectiveness of the proposed coordinated formation control algorithm is demonstrated by corresponding simulations.
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institution Kabale University
issn 1085-3375
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language English
publishDate 2013-01-01
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series Abstract and Applied Analysis
spelling doaj-art-6988b1a3ac054e8aa56cdd37436f2b412025-08-20T03:33:31ZengWileyAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/681319681319Robust Coordinated Formation for Multiple Surface Vessels Based on Backstepping Sliding Mode ControlMingyu Fu0Jianfang Jiao1Shen Yin2College of Automation, Harbin Engineering University, Harbin, Heilongjiang 150001, ChinaCollege of Automation, Harbin Engineering University, Harbin, Heilongjiang 150001, ChinaUniversity of Duisburg-Essen, 47057 Duisburg, GermanyWe investigate the problem of coordinated formation control for multiple surface vessels in the presence of unknown external disturbances. In order to realize the leaderless coordinated formation and achieve the robustness against unknown external disturbances, a new robust coordinated formation control algorithm based on backstepping sliding mode control is proposed. The proposed coordinated control algorithm is achieved by defining a new switched function using the combination of position tracking error and cross-coupling error. Particularly, the cross-coupling error is defined using velocity tracking error and velocity synchronization error so as to be applicable for sliding mode controller design. Furthermore, the adaptive control law is proposed to estimate unknown disturbances for each vessel. The globally asymptotically stability is proved using the Lyapunov direct method. Finally, the effectiveness of the proposed coordinated formation control algorithm is demonstrated by corresponding simulations.http://dx.doi.org/10.1155/2013/681319
spellingShingle Mingyu Fu
Jianfang Jiao
Shen Yin
Robust Coordinated Formation for Multiple Surface Vessels Based on Backstepping Sliding Mode Control
Abstract and Applied Analysis
title Robust Coordinated Formation for Multiple Surface Vessels Based on Backstepping Sliding Mode Control
title_full Robust Coordinated Formation for Multiple Surface Vessels Based on Backstepping Sliding Mode Control
title_fullStr Robust Coordinated Formation for Multiple Surface Vessels Based on Backstepping Sliding Mode Control
title_full_unstemmed Robust Coordinated Formation for Multiple Surface Vessels Based on Backstepping Sliding Mode Control
title_short Robust Coordinated Formation for Multiple Surface Vessels Based on Backstepping Sliding Mode Control
title_sort robust coordinated formation for multiple surface vessels based on backstepping sliding mode control
url http://dx.doi.org/10.1155/2013/681319
work_keys_str_mv AT mingyufu robustcoordinatedformationformultiplesurfacevesselsbasedonbacksteppingslidingmodecontrol
AT jianfangjiao robustcoordinatedformationformultiplesurfacevesselsbasedonbacksteppingslidingmodecontrol
AT shenyin robustcoordinatedformationformultiplesurfacevesselsbasedonbacksteppingslidingmodecontrol