Robust Time-Varying Output Formation Control for Swarm Systems with Nonlinear Uncertainties

Time-varying output formation control problems for high-order time-invariant swarm systems are studied with nonlinear uncertainties and directed network topology in this paper. A robust controller which consists of a nominal controller and a robust compensator is applied to achieve formation control...

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Main Authors: Xiaofeng Chai, Qing Wang, Yao Yu, Changyin Sun
Format: Article
Language:English
Published: Wiley 2020-01-01
Series:Complexity
Online Access:http://dx.doi.org/10.1155/2020/2069170
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author Xiaofeng Chai
Qing Wang
Yao Yu
Changyin Sun
author_facet Xiaofeng Chai
Qing Wang
Yao Yu
Changyin Sun
author_sort Xiaofeng Chai
collection DOAJ
description Time-varying output formation control problems for high-order time-invariant swarm systems are studied with nonlinear uncertainties and directed network topology in this paper. A robust controller which consists of a nominal controller and a robust compensator is applied to achieve formation control. The nominal controller based on the output feedback is designed to achieve desired time-varying formation properties for the nominal system. And the robust compensator based on the robust signal compensator technology is constructed to restrain nonlinear uncertainties. The time-varying formation problem is transformed into the stability problem. And the formation errors can be arbitrarily small with expected convergence rate. Numerical examples are provided to illustrate the effectiveness of the proposed strategy.
format Article
id doaj-art-1242503e7de247b2a371f099cc2fcb8b
institution Kabale University
issn 1076-2787
1099-0526
language English
publishDate 2020-01-01
publisher Wiley
record_format Article
series Complexity
spelling doaj-art-1242503e7de247b2a371f099cc2fcb8b2025-02-03T05:53:21ZengWileyComplexity1076-27871099-05262020-01-01202010.1155/2020/20691702069170Robust Time-Varying Output Formation Control for Swarm Systems with Nonlinear UncertaintiesXiaofeng Chai0Qing Wang1Yao Yu2Changyin Sun3School of Automation and Electrical Engineering, University of Science and Technology Beijing, Beijing 100083, ChinaSchool of Automation, Beijing Institute of Technology, Beijing 100081, ChinaSchool of Automation and Electrical Engineering, University of Science and Technology Beijing, Beijing 100083, ChinaSchool of Automation, Southeast University, Nanjing 210096, ChinaTime-varying output formation control problems for high-order time-invariant swarm systems are studied with nonlinear uncertainties and directed network topology in this paper. A robust controller which consists of a nominal controller and a robust compensator is applied to achieve formation control. The nominal controller based on the output feedback is designed to achieve desired time-varying formation properties for the nominal system. And the robust compensator based on the robust signal compensator technology is constructed to restrain nonlinear uncertainties. The time-varying formation problem is transformed into the stability problem. And the formation errors can be arbitrarily small with expected convergence rate. Numerical examples are provided to illustrate the effectiveness of the proposed strategy.http://dx.doi.org/10.1155/2020/2069170
spellingShingle Xiaofeng Chai
Qing Wang
Yao Yu
Changyin Sun
Robust Time-Varying Output Formation Control for Swarm Systems with Nonlinear Uncertainties
Complexity
title Robust Time-Varying Output Formation Control for Swarm Systems with Nonlinear Uncertainties
title_full Robust Time-Varying Output Formation Control for Swarm Systems with Nonlinear Uncertainties
title_fullStr Robust Time-Varying Output Formation Control for Swarm Systems with Nonlinear Uncertainties
title_full_unstemmed Robust Time-Varying Output Formation Control for Swarm Systems with Nonlinear Uncertainties
title_short Robust Time-Varying Output Formation Control for Swarm Systems with Nonlinear Uncertainties
title_sort robust time varying output formation control for swarm systems with nonlinear uncertainties
url http://dx.doi.org/10.1155/2020/2069170
work_keys_str_mv AT xiaofengchai robusttimevaryingoutputformationcontrolforswarmsystemswithnonlinearuncertainties
AT qingwang robusttimevaryingoutputformationcontrolforswarmsystemswithnonlinearuncertainties
AT yaoyu robusttimevaryingoutputformationcontrolforswarmsystemswithnonlinearuncertainties
AT changyinsun robusttimevaryingoutputformationcontrolforswarmsystemswithnonlinearuncertainties