Consensus Formation Control for a Class of Networked Multiple Mobile Robot Systems

A consensus-based formation control for a class of networked multiple mobile robots is investigated with a virtual leader approach. A novel distributed control algorithm is designed based on the Lyapunov method and linear matrix inequality (LMI) technique for time delay systems. A multiple Lyapunov...

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Main Authors: Long Sheng, Ya-Jun Pan, Xiang Gong
Format: Article
Language:English
Published: Wiley 2012-01-01
Series:Journal of Control Science and Engineering
Online Access:http://dx.doi.org/10.1155/2012/150250
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author Long Sheng
Ya-Jun Pan
Xiang Gong
author_facet Long Sheng
Ya-Jun Pan
Xiang Gong
author_sort Long Sheng
collection DOAJ
description A consensus-based formation control for a class of networked multiple mobile robots is investigated with a virtual leader approach. A novel distributed control algorithm is designed based on the Lyapunov method and linear matrix inequality (LMI) technique for time delay systems. A multiple Lyapunov Krasovskii functional candidate is proposed for investigating the sufficient conditions to linear control gain design for the system with constant time delays. Simulation results as well as experimental studies on Pioneer 3 series mobile robots are shown to verify the effectiveness of the proposed approach.
format Article
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institution Kabale University
issn 1687-5249
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language English
publishDate 2012-01-01
publisher Wiley
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series Journal of Control Science and Engineering
spelling doaj-art-04309f203bcf465aa959b22f21786f4b2025-02-03T01:26:12ZengWileyJournal of Control Science and Engineering1687-52491687-52572012-01-01201210.1155/2012/150250150250Consensus Formation Control for a Class of Networked Multiple Mobile Robot SystemsLong Sheng0Ya-Jun Pan1Xiang Gong2Department of Mechanical Engineering, Dalhousie University, Halifax, NS, B3J 2X4, CanadaDepartment of Mechanical Engineering, Dalhousie University, Halifax, NS, B3J 2X4, CanadaDepartment of Mechanical Engineering, Dalhousie University, Halifax, NS, B3J 2X4, CanadaA consensus-based formation control for a class of networked multiple mobile robots is investigated with a virtual leader approach. A novel distributed control algorithm is designed based on the Lyapunov method and linear matrix inequality (LMI) technique for time delay systems. A multiple Lyapunov Krasovskii functional candidate is proposed for investigating the sufficient conditions to linear control gain design for the system with constant time delays. Simulation results as well as experimental studies on Pioneer 3 series mobile robots are shown to verify the effectiveness of the proposed approach.http://dx.doi.org/10.1155/2012/150250
spellingShingle Long Sheng
Ya-Jun Pan
Xiang Gong
Consensus Formation Control for a Class of Networked Multiple Mobile Robot Systems
Journal of Control Science and Engineering
title Consensus Formation Control for a Class of Networked Multiple Mobile Robot Systems
title_full Consensus Formation Control for a Class of Networked Multiple Mobile Robot Systems
title_fullStr Consensus Formation Control for a Class of Networked Multiple Mobile Robot Systems
title_full_unstemmed Consensus Formation Control for a Class of Networked Multiple Mobile Robot Systems
title_short Consensus Formation Control for a Class of Networked Multiple Mobile Robot Systems
title_sort consensus formation control for a class of networked multiple mobile robot systems
url http://dx.doi.org/10.1155/2012/150250
work_keys_str_mv AT longsheng consensusformationcontrolforaclassofnetworkedmultiplemobilerobotsystems
AT yajunpan consensusformationcontrolforaclassofnetworkedmultiplemobilerobotsystems
AT xianggong consensusformationcontrolforaclassofnetworkedmultiplemobilerobotsystems