Adaptive Image-Based Leader-Follower Approach of Mobile Robot with Omnidirectional Camera

This paper focuses on the problem of the adaptive image-based leader-follower formation control of mobile robot with on-board omnidirectional camera. A calibrated omnidirectional camera is fixed on the follower in any position, and a feature point representing the leader can be chosen in any positio...

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Main Authors: Dejun Guo, Hesheng Wang, Weidong Chen, Xinwu Liang
Format: Article
Language:English
Published: Wiley 2015-01-01
Series:Journal of Applied Mathematics
Online Access:http://dx.doi.org/10.1155/2015/194251
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author Dejun Guo
Hesheng Wang
Weidong Chen
Xinwu Liang
author_facet Dejun Guo
Hesheng Wang
Weidong Chen
Xinwu Liang
author_sort Dejun Guo
collection DOAJ
description This paper focuses on the problem of the adaptive image-based leader-follower formation control of mobile robot with on-board omnidirectional camera. A calibrated omnidirectional camera is fixed on the follower in any position, and a feature point representing the leader can be chosen in any position. An adaptive image-based controller without depending on the velocity of the leader is proposed based on a filter technology. In other words, only by relying on the projection of the feature on the image plane, can the follower track the leader and achieve the formation control. Moreover, an observer is introduced to estimate the unknown camera extrinsic parameters and the unknown parameters of plane, where the feature point moves, relative to omnidirectional camera frame. At last, the lyapunov method is applied to prove the uniform semiglobal practical asymptotic stability (USPAS) for the closed-loop system. Simulation results are presented to validate the algorithm.
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institution DOAJ
issn 1110-757X
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publishDate 2015-01-01
publisher Wiley
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series Journal of Applied Mathematics
spelling doaj-art-545260e73ee545d19e3b1565fab7e8712025-08-20T03:20:14ZengWileyJournal of Applied Mathematics1110-757X1687-00422015-01-01201510.1155/2015/194251194251Adaptive Image-Based Leader-Follower Approach of Mobile Robot with Omnidirectional CameraDejun Guo0Hesheng Wang1Weidong Chen2Xinwu Liang3Department of Automation, Shanghai Jiao Tong University and Key Laboratory of System Control and Information Processing, Ministry of Education of China, Shanghai 200240, ChinaDepartment of Automation, Shanghai Jiao Tong University and Key Laboratory of System Control and Information Processing, Ministry of Education of China, Shanghai 200240, ChinaDepartment of Automation, Shanghai Jiao Tong University and Key Laboratory of System Control and Information Processing, Ministry of Education of China, Shanghai 200240, ChinaDepartment of Automation, Shanghai Jiao Tong University and Key Laboratory of System Control and Information Processing, Ministry of Education of China, Shanghai 200240, ChinaThis paper focuses on the problem of the adaptive image-based leader-follower formation control of mobile robot with on-board omnidirectional camera. A calibrated omnidirectional camera is fixed on the follower in any position, and a feature point representing the leader can be chosen in any position. An adaptive image-based controller without depending on the velocity of the leader is proposed based on a filter technology. In other words, only by relying on the projection of the feature on the image plane, can the follower track the leader and achieve the formation control. Moreover, an observer is introduced to estimate the unknown camera extrinsic parameters and the unknown parameters of plane, where the feature point moves, relative to omnidirectional camera frame. At last, the lyapunov method is applied to prove the uniform semiglobal practical asymptotic stability (USPAS) for the closed-loop system. Simulation results are presented to validate the algorithm.http://dx.doi.org/10.1155/2015/194251
spellingShingle Dejun Guo
Hesheng Wang
Weidong Chen
Xinwu Liang
Adaptive Image-Based Leader-Follower Approach of Mobile Robot with Omnidirectional Camera
Journal of Applied Mathematics
title Adaptive Image-Based Leader-Follower Approach of Mobile Robot with Omnidirectional Camera
title_full Adaptive Image-Based Leader-Follower Approach of Mobile Robot with Omnidirectional Camera
title_fullStr Adaptive Image-Based Leader-Follower Approach of Mobile Robot with Omnidirectional Camera
title_full_unstemmed Adaptive Image-Based Leader-Follower Approach of Mobile Robot with Omnidirectional Camera
title_short Adaptive Image-Based Leader-Follower Approach of Mobile Robot with Omnidirectional Camera
title_sort adaptive image based leader follower approach of mobile robot with omnidirectional camera
url http://dx.doi.org/10.1155/2015/194251
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AT heshengwang adaptiveimagebasedleaderfollowerapproachofmobilerobotwithomnidirectionalcamera
AT weidongchen adaptiveimagebasedleaderfollowerapproachofmobilerobotwithomnidirectionalcamera
AT xinwuliang adaptiveimagebasedleaderfollowerapproachofmobilerobotwithomnidirectionalcamera