Synchronization-Based Guaranteed-Performance Formation Design for Swarm Systems

Guaranteed-performance formation control for swarm systems with the second-order dynamics is investigated based on the synchronization control strategy. Firstly, a new formation protocol is presented, where the weights of connected edges are adaptively regulated and the performance constraint is imp...

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Main Authors: Hongtao Dang, Yichen Du, Lingyun Kong, Hui Yao, Jianxiang Xi
Format: Article
Language:English
Published: Wiley 2020-01-01
Series:Complexity
Online Access:http://dx.doi.org/10.1155/2020/3076132
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author Hongtao Dang
Yichen Du
Lingyun Kong
Hui Yao
Jianxiang Xi
author_facet Hongtao Dang
Yichen Du
Lingyun Kong
Hui Yao
Jianxiang Xi
author_sort Hongtao Dang
collection DOAJ
description Guaranteed-performance formation control for swarm systems with the second-order dynamics is investigated based on the synchronization control strategy. Firstly, a new formation protocol is presented, where the weights of connected edges are adaptively regulated and the performance constraint is imposed. Then, on the basis of the Riccati inequality, sufficient conditions for synchronization-based guaranteed-performance formation are proposed, and an explicit expression of the guaranteed-performance cost is shown, where it is fully distributed to design gain matrices of the formation protocol in the sense that it is independent of global information of swarm systems. Moreover, the whole motion of a swarm system is determined, which is associated with initial states of all agents and formation control vectors. Finally, two numerical examples are shown to demonstrate theoretical conclusions, where the static whole motion and the dynamic whole motion are considered, respectively.
format Article
id doaj-art-d2933c5c5f7e4a9397470ee0c7eaad77
institution Kabale University
issn 1076-2787
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language English
publishDate 2020-01-01
publisher Wiley
record_format Article
series Complexity
spelling doaj-art-d2933c5c5f7e4a9397470ee0c7eaad772025-08-20T03:24:08ZengWileyComplexity1076-27871099-05262020-01-01202010.1155/2020/30761323076132Synchronization-Based Guaranteed-Performance Formation Design for Swarm SystemsHongtao Dang0Yichen Du1Lingyun Kong2Hui Yao3Jianxiang Xi4Shaanxi Engineering Research Center of Controllable Neutron Source, School of Science, Xijing University, Xi’an 710123, ChinaShaanxi Engineering Research Center of Controllable Neutron Source, School of Science, Xijing University, Xi’an 710123, ChinaShaanxi Engineering Research Center of Controllable Neutron Source, School of Science, Xijing University, Xi’an 710123, ChinaRocket Force University of Engineering, Xi’an 710025, ChinaRocket Force University of Engineering, Xi’an 710025, ChinaGuaranteed-performance formation control for swarm systems with the second-order dynamics is investigated based on the synchronization control strategy. Firstly, a new formation protocol is presented, where the weights of connected edges are adaptively regulated and the performance constraint is imposed. Then, on the basis of the Riccati inequality, sufficient conditions for synchronization-based guaranteed-performance formation are proposed, and an explicit expression of the guaranteed-performance cost is shown, where it is fully distributed to design gain matrices of the formation protocol in the sense that it is independent of global information of swarm systems. Moreover, the whole motion of a swarm system is determined, which is associated with initial states of all agents and formation control vectors. Finally, two numerical examples are shown to demonstrate theoretical conclusions, where the static whole motion and the dynamic whole motion are considered, respectively.http://dx.doi.org/10.1155/2020/3076132
spellingShingle Hongtao Dang
Yichen Du
Lingyun Kong
Hui Yao
Jianxiang Xi
Synchronization-Based Guaranteed-Performance Formation Design for Swarm Systems
Complexity
title Synchronization-Based Guaranteed-Performance Formation Design for Swarm Systems
title_full Synchronization-Based Guaranteed-Performance Formation Design for Swarm Systems
title_fullStr Synchronization-Based Guaranteed-Performance Formation Design for Swarm Systems
title_full_unstemmed Synchronization-Based Guaranteed-Performance Formation Design for Swarm Systems
title_short Synchronization-Based Guaranteed-Performance Formation Design for Swarm Systems
title_sort synchronization based guaranteed performance formation design for swarm systems
url http://dx.doi.org/10.1155/2020/3076132
work_keys_str_mv AT hongtaodang synchronizationbasedguaranteedperformanceformationdesignforswarmsystems
AT yichendu synchronizationbasedguaranteedperformanceformationdesignforswarmsystems
AT lingyunkong synchronizationbasedguaranteedperformanceformationdesignforswarmsystems
AT huiyao synchronizationbasedguaranteedperformanceformationdesignforswarmsystems
AT jianxiangxi synchronizationbasedguaranteedperformanceformationdesignforswarmsystems