Consensus Control of Time-Varying Delayed Multiagent Systems with High-Order Iterative Learning Control

We address the consensus control problem of time-varying delayed multiagent systems with directed communication topology. The model of each agent includes time-varying nonlinear dynamic and external disturbance, where the time-varying nonlinear term satisfies the global Lipschitz condition and the d...

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Main Authors: Xiongfeng Deng, Xiuxia Sun, Ri Liu, Shuguang Liu
Format: Article
Language:English
Published: Wiley 2018-01-01
Series:International Journal of Aerospace Engineering
Online Access:http://dx.doi.org/10.1155/2018/4865745
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author Xiongfeng Deng
Xiuxia Sun
Ri Liu
Shuguang Liu
author_facet Xiongfeng Deng
Xiuxia Sun
Ri Liu
Shuguang Liu
author_sort Xiongfeng Deng
collection DOAJ
description We address the consensus control problem of time-varying delayed multiagent systems with directed communication topology. The model of each agent includes time-varying nonlinear dynamic and external disturbance, where the time-varying nonlinear term satisfies the global Lipschitz condition and the disturbance term satisfies norm-bounded condition. An improved control protocol, that is, a high-order iterative learning control scheme, is applied to cope with consensus tracking problem, where the desired trajectory is generated by a virtual leader agent. Through theoretical analysis, the improved control protocol guarantees that the tracking errors converge asymptotically to a sufficiently small interval under the given convergence conditions. Furthermore, the bounds of initial state difference and disturbances tend to zero; the bound of tracking errors also tends to zero. In the end, some cases are provided to illustrate the effectiveness of the theoretical analysis.
format Article
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institution Kabale University
issn 1687-5966
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language English
publishDate 2018-01-01
publisher Wiley
record_format Article
series International Journal of Aerospace Engineering
spelling doaj-art-7bfd96c0ac6743db9050efd42f68cad22025-02-03T01:23:26ZengWileyInternational Journal of Aerospace Engineering1687-59661687-59742018-01-01201810.1155/2018/48657454865745Consensus Control of Time-Varying Delayed Multiagent Systems with High-Order Iterative Learning ControlXiongfeng Deng0Xiuxia Sun1Ri Liu2Shuguang Liu3Equipment Management and Unmanned Aerial Vehicle Engineering College, Air Force Engineering University, Xi’an 710051, ChinaEquipment Management and Unmanned Aerial Vehicle Engineering College, Air Force Engineering University, Xi’an 710051, ChinaTheory Training Department, Air Force Harbin Flight Academy, Harbin 150001, ChinaEquipment Management and Unmanned Aerial Vehicle Engineering College, Air Force Engineering University, Xi’an 710051, ChinaWe address the consensus control problem of time-varying delayed multiagent systems with directed communication topology. The model of each agent includes time-varying nonlinear dynamic and external disturbance, where the time-varying nonlinear term satisfies the global Lipschitz condition and the disturbance term satisfies norm-bounded condition. An improved control protocol, that is, a high-order iterative learning control scheme, is applied to cope with consensus tracking problem, where the desired trajectory is generated by a virtual leader agent. Through theoretical analysis, the improved control protocol guarantees that the tracking errors converge asymptotically to a sufficiently small interval under the given convergence conditions. Furthermore, the bounds of initial state difference and disturbances tend to zero; the bound of tracking errors also tends to zero. In the end, some cases are provided to illustrate the effectiveness of the theoretical analysis.http://dx.doi.org/10.1155/2018/4865745
spellingShingle Xiongfeng Deng
Xiuxia Sun
Ri Liu
Shuguang Liu
Consensus Control of Time-Varying Delayed Multiagent Systems with High-Order Iterative Learning Control
International Journal of Aerospace Engineering
title Consensus Control of Time-Varying Delayed Multiagent Systems with High-Order Iterative Learning Control
title_full Consensus Control of Time-Varying Delayed Multiagent Systems with High-Order Iterative Learning Control
title_fullStr Consensus Control of Time-Varying Delayed Multiagent Systems with High-Order Iterative Learning Control
title_full_unstemmed Consensus Control of Time-Varying Delayed Multiagent Systems with High-Order Iterative Learning Control
title_short Consensus Control of Time-Varying Delayed Multiagent Systems with High-Order Iterative Learning Control
title_sort consensus control of time varying delayed multiagent systems with high order iterative learning control
url http://dx.doi.org/10.1155/2018/4865745
work_keys_str_mv AT xiongfengdeng consensuscontroloftimevaryingdelayedmultiagentsystemswithhighorderiterativelearningcontrol
AT xiuxiasun consensuscontroloftimevaryingdelayedmultiagentsystemswithhighorderiterativelearningcontrol
AT riliu consensuscontroloftimevaryingdelayedmultiagentsystemswithhighorderiterativelearningcontrol
AT shuguangliu consensuscontroloftimevaryingdelayedmultiagentsystemswithhighorderiterativelearningcontrol