Average Consensus Tracking of Weight-Balanced Multi-Agent Systems via Sampled Data

This paper studies the average consensus tracking problem of first-order multi-agent systems under directed topologies. A control protocol is constructed based on the neighbors’ agent sampled information. With the help of the matrix theory and frequency domain analysis, the necessary and sufficient...

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Main Authors: Baoyu Huo, Jian Ma, Mingjun Du, Lijian Yin
Format: Article
Language:English
Published: MDPI AG 2024-02-01
Series:Mathematics
Subjects:
Online Access:https://www.mdpi.com/2227-7390/12/5/674
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author Baoyu Huo
Jian Ma
Mingjun Du
Lijian Yin
author_facet Baoyu Huo
Jian Ma
Mingjun Du
Lijian Yin
author_sort Baoyu Huo
collection DOAJ
description This paper studies the average consensus tracking problem of first-order multi-agent systems under directed topologies. A control protocol is constructed based on the neighbors’ agent sampled information. With the help of the matrix theory and frequency domain analysis, the necessary and sufficient condition can be induced for the average consensus tracking of multi-agent systems, although the weight-balanced condition is not satisfied. In addition, a numerical simulation example is given to illustrate the effectiveness of the proposed results.
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spelling doaj.art-0589b5f501924ce1b20318464788c99c2024-03-12T16:49:55ZengMDPI AGMathematics2227-73902024-02-0112567410.3390/math12050674Average Consensus Tracking of Weight-Balanced Multi-Agent Systems via Sampled DataBaoyu Huo0Jian Ma1Mingjun Du2Lijian Yin3School of Information and Automation Engineering, Qilu University of Technology (Shandong Academy of Sciences), Jinan 250353, ChinaSchool of Information and Automation Engineering, Qilu University of Technology (Shandong Academy of Sciences), Jinan 250353, ChinaSchool of Information and Automation Engineering, Qilu University of Technology (Shandong Academy of Sciences), Jinan 250353, ChinaThe Second Construction Limited Company of China Construction Eighth Engineering Division, Jinan 250013, ChinaThis paper studies the average consensus tracking problem of first-order multi-agent systems under directed topologies. A control protocol is constructed based on the neighbors’ agent sampled information. With the help of the matrix theory and frequency domain analysis, the necessary and sufficient condition can be induced for the average consensus tracking of multi-agent systems, although the weight-balanced condition is not satisfied. In addition, a numerical simulation example is given to illustrate the effectiveness of the proposed results.https://www.mdpi.com/2227-7390/12/5/674multi-agent systemsdistributed average trackingsampled data
spellingShingle Baoyu Huo
Jian Ma
Mingjun Du
Lijian Yin
Average Consensus Tracking of Weight-Balanced Multi-Agent Systems via Sampled Data
Mathematics
multi-agent systems
distributed average tracking
sampled data
title Average Consensus Tracking of Weight-Balanced Multi-Agent Systems via Sampled Data
title_full Average Consensus Tracking of Weight-Balanced Multi-Agent Systems via Sampled Data
title_fullStr Average Consensus Tracking of Weight-Balanced Multi-Agent Systems via Sampled Data
title_full_unstemmed Average Consensus Tracking of Weight-Balanced Multi-Agent Systems via Sampled Data
title_short Average Consensus Tracking of Weight-Balanced Multi-Agent Systems via Sampled Data
title_sort average consensus tracking of weight balanced multi agent systems via sampled data
topic multi-agent systems
distributed average tracking
sampled data
url https://www.mdpi.com/2227-7390/12/5/674
work_keys_str_mv AT baoyuhuo averageconsensustrackingofweightbalancedmultiagentsystemsviasampleddata
AT jianma averageconsensustrackingofweightbalancedmultiagentsystemsviasampleddata
AT mingjundu averageconsensustrackingofweightbalancedmultiagentsystemsviasampleddata
AT lijianyin averageconsensustrackingofweightbalancedmultiagentsystemsviasampleddata