Distributed Adaptive Consensus Disturbance Rejection: a Directed-spanning-tree Perspective

Dongdong Yue; Simone Baldi; Jinde Cao

doi:10.23919/CCC55666.2022.9902382

Distributed Adaptive Consensus Disturbance Rejection: a Directed-spanning-tree Perspective

Dongdong Yue, Simone Baldi, Jinde Cao

Team Bart De Schutter

Research output: Chapter in Book/Conference proceedings/Edited volume › Conference contribution › Scientific › peer-review

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Abstract

In this paper, we revisit the problem of consensus disturbance rejection for multiagent systems over a digraph, but from a different perspective, i.e., the perspective of a directed spanning tree (DST). When the minimum nonzero real part of the Laplacian eigenvalues is available, we reproduce the sufficient lower bound for a static homogeneous coupling gain in the literature, by exploring a DST structure of the digraph. The major novelty arises when it is shown that by adaptively tuning the coupling gains along a DST, consensus disturbance rejection can be achieved when the above eigenvalue information is not available. Numerical examples on networks of second-order oscillators and UAVs are included to validate the theoretical results.

Original language	English
Title of host publication	Proceedings of the 41st Chinese Control Conference, CCC 2022
Editors	Zhijun Li, Jian Sun
Publisher	IEEE
Pages	4694-4699
ISBN (Electronic)	978-98-8758-153-6
DOIs	https://doi.org/10.23919/CCC55666.2022.9902382
Publication status	Published - 2022
Event	41st Chinese Control Conference, CCC 2022 - Hefei, China Duration: 25 Jul 2022 → 27 Jul 2022

Conference

Conference	41st Chinese Control Conference, CCC 2022
Country/Territory	China
City	Hefei
Period	25/07/22 → 27/07/22

Bibliographical note

Green Open Access added to TU Delft Institutional Repository 'You share, we take care!' - Taverne project https://www.openaccess.nl/en/you-share-we-take-care
Otherwise as indicated in the copyright section: the publisher is the copyright holder of this work and the author uses the Dutch legislation to make this work public.

Keywords

Consensus
Directed spanning tree
Distributed adaptive control
Disturbance rejection

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Cite this

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title = "Distributed Adaptive Consensus Disturbance Rejection: a Directed-spanning-tree Perspective",

abstract = "In this paper, we revisit the problem of consensus disturbance rejection for multiagent systems over a digraph, but from a different perspective, i.e., the perspective of a directed spanning tree (DST). When the minimum nonzero real part of the Laplacian eigenvalues is available, we reproduce the sufficient lower bound for a static homogeneous coupling gain in the literature, by exploring a DST structure of the digraph. The major novelty arises when it is shown that by adaptively tuning the coupling gains along a DST, consensus disturbance rejection can be achieved when the above eigenvalue information is not available. Numerical examples on networks of second-order oscillators and UAVs are included to validate the theoretical results. ",

keywords = "Consensus, Directed spanning tree, Distributed adaptive control, Disturbance rejection",

author = "Dongdong Yue and Simone Baldi and Jinde Cao",

note = "Green Open Access added to TU Delft Institutional Repository 'You share, we take care!' - Taverne project https://www.openaccess.nl/en/you-share-we-take-care Otherwise as indicated in the copyright section: the publisher is the copyright holder of this work and the author uses the Dutch legislation to make this work public.; 41st Chinese Control Conference, CCC 2022 ; Conference date: 25-07-2022 Through 27-07-2022",

year = "2022",

doi = "10.23919/CCC55666.2022.9902382",

language = "English",

pages = "4694--4699",

editor = "Zhijun Li and Jian Sun",

booktitle = "Proceedings of the 41st Chinese Control Conference, CCC 2022",

publisher = "IEEE",

address = "United States",

}

Distributed Adaptive Consensus Disturbance Rejection: a Directed-spanning-tree Perspective. / Yue, Dongdong; Baldi, Simone; Cao, Jinde.
Proceedings of the 41st Chinese Control Conference, CCC 2022. ed. / Zhijun Li; Jian Sun. IEEE, 2022. p. 4694-4699.

Research output: Chapter in Book/Conference proceedings/Edited volume › Conference contribution › Scientific › peer-review

TY - GEN

T1 - Distributed Adaptive Consensus Disturbance Rejection

T2 - 41st Chinese Control Conference, CCC 2022

AU - Yue, Dongdong

AU - Baldi, Simone

AU - Cao, Jinde

N1 - Green Open Access added to TU Delft Institutional Repository 'You share, we take care!' - Taverne project https://www.openaccess.nl/en/you-share-we-take-care Otherwise as indicated in the copyright section: the publisher is the copyright holder of this work and the author uses the Dutch legislation to make this work public.

PY - 2022

Y1 - 2022

N2 - In this paper, we revisit the problem of consensus disturbance rejection for multiagent systems over a digraph, but from a different perspective, i.e., the perspective of a directed spanning tree (DST). When the minimum nonzero real part of the Laplacian eigenvalues is available, we reproduce the sufficient lower bound for a static homogeneous coupling gain in the literature, by exploring a DST structure of the digraph. The major novelty arises when it is shown that by adaptively tuning the coupling gains along a DST, consensus disturbance rejection can be achieved when the above eigenvalue information is not available. Numerical examples on networks of second-order oscillators and UAVs are included to validate the theoretical results.

AB - In this paper, we revisit the problem of consensus disturbance rejection for multiagent systems over a digraph, but from a different perspective, i.e., the perspective of a directed spanning tree (DST). When the minimum nonzero real part of the Laplacian eigenvalues is available, we reproduce the sufficient lower bound for a static homogeneous coupling gain in the literature, by exploring a DST structure of the digraph. The major novelty arises when it is shown that by adaptively tuning the coupling gains along a DST, consensus disturbance rejection can be achieved when the above eigenvalue information is not available. Numerical examples on networks of second-order oscillators and UAVs are included to validate the theoretical results.

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KW - Directed spanning tree

KW - Distributed adaptive control

KW - Disturbance rejection

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DO - 10.23919/CCC55666.2022.9902382

M3 - Conference contribution

AN - SCOPUS:85140433298

SP - 4694

EP - 4699

BT - Proceedings of the 41st Chinese Control Conference, CCC 2022

A2 - Li, Zhijun

A2 - Sun, Jian

PB - IEEE

Y2 - 25 July 2022 through 27 July 2022

ER -

Distributed Adaptive Consensus Disturbance Rejection: a Directed-spanning-tree Perspective

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Keywords

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