Publication

Synchronization Preserving Model Reduction of Multi-Agent Network Systems by Eigenvalue Assignments

Yu, L., Cheng, X., Scherpen, J. M. A. & Xiong, J., 12-Mar-2020, Proceedings of the 58th Conference on Decision and Control. IEEE, p. 7794-7799

Research output: Chapter in Book/Report/Conference proceedingConference contributionAcademicpeer-review

APA

Yu, L., Cheng, X., Scherpen, J. M. A., & Xiong, J. (2020). Synchronization Preserving Model Reduction of Multi-Agent Network Systems by Eigenvalue Assignments. In Proceedings of the 58th Conference on Decision and Control (pp. 7794-7799). IEEE. https://doi.org/10.1109/CDC40024.2019.9029857

Author

Yu, Lanlin ; Cheng, Xiaodong ; Scherpen, Jacquelien M.A. ; Xiong, Junlin. / Synchronization Preserving Model Reduction of Multi-Agent Network Systems by Eigenvalue Assignments. Proceedings of the 58th Conference on Decision and Control. IEEE, 2020. pp. 7794-7799

Harvard

Yu, L, Cheng, X, Scherpen, JMA & Xiong, J 2020, Synchronization Preserving Model Reduction of Multi-Agent Network Systems by Eigenvalue Assignments. in Proceedings of the 58th Conference on Decision and Control. IEEE, pp. 7794-7799, 58th Conference on Decision and Control (CDC2019), Nice, France, 11/12/2019. https://doi.org/10.1109/CDC40024.2019.9029857

Standard

Synchronization Preserving Model Reduction of Multi-Agent Network Systems by Eigenvalue Assignments. / Yu, Lanlin; Cheng, Xiaodong; Scherpen, Jacquelien M.A.; Xiong, Junlin.

Proceedings of the 58th Conference on Decision and Control. IEEE, 2020. p. 7794-7799.

Research output: Chapter in Book/Report/Conference proceedingConference contributionAcademicpeer-review

Vancouver

Yu L, Cheng X, Scherpen JMA, Xiong J. Synchronization Preserving Model Reduction of Multi-Agent Network Systems by Eigenvalue Assignments. In Proceedings of the 58th Conference on Decision and Control. IEEE. 2020. p. 7794-7799 https://doi.org/10.1109/CDC40024.2019.9029857


BibTeX

@inproceedings{b7efa382ba504116a585ea8df7db703c,
title = "Synchronization Preserving Model Reduction of Multi-Agent Network Systems by Eigenvalue Assignments",
abstract = "In this paper, structure preserving model reduction problem for multi-agent network systems consisting of diffusively coupled agents is investigated. A new model reduction method based on eigenvalue assignment is derived. Particularly, the spectrum of the reduced textit{Laplacian matrix} is selected as a subset of the spectrum of the original textit{Laplacian matrix}. The resulting reduced-order model retains the network protocol of diffusive couplings, and thus the synchronization property is preserved. Moreover, a concise expression for the upper-bound of the mathcal{H}_{2} approximation error is presented in the setting of a leader-follower network, and it provides a guideline to select the eigenvalues of the reduced textit{Laplacian matrix}. The effectiveness of the proposed method is finally illustrated via the application to a spacecraft network, with a comparison of performances with the graph clustering method in cite{monshizadeh2014projection} and balanced truncation approach in cite{cheng2017balancedb}.",
keywords = "Model/Controller reduction, Networked control systems, Network analysis and control",
author = "Lanlin Yu and Xiaodong Cheng and Scherpen, {Jacquelien M.A.} and Junlin Xiong",
year = "2020",
month = "3",
day = "12",
doi = "10.1109/CDC40024.2019.9029857",
language = "English",
isbn = "978-1-7281-1398-2",
pages = "7794--7799",
booktitle = "Proceedings of the 58th Conference on Decision and Control",
publisher = "IEEE",

}

RIS

TY - GEN

T1 - Synchronization Preserving Model Reduction of Multi-Agent Network Systems by Eigenvalue Assignments

AU - Yu, Lanlin

AU - Cheng, Xiaodong

AU - Scherpen, Jacquelien M.A.

AU - Xiong, Junlin

PY - 2020/3/12

Y1 - 2020/3/12

N2 - In this paper, structure preserving model reduction problem for multi-agent network systems consisting of diffusively coupled agents is investigated. A new model reduction method based on eigenvalue assignment is derived. Particularly, the spectrum of the reduced textit{Laplacian matrix} is selected as a subset of the spectrum of the original textit{Laplacian matrix}. The resulting reduced-order model retains the network protocol of diffusive couplings, and thus the synchronization property is preserved. Moreover, a concise expression for the upper-bound of the mathcal{H}_{2} approximation error is presented in the setting of a leader-follower network, and it provides a guideline to select the eigenvalues of the reduced textit{Laplacian matrix}. The effectiveness of the proposed method is finally illustrated via the application to a spacecraft network, with a comparison of performances with the graph clustering method in cite{monshizadeh2014projection} and balanced truncation approach in cite{cheng2017balancedb}.

AB - In this paper, structure preserving model reduction problem for multi-agent network systems consisting of diffusively coupled agents is investigated. A new model reduction method based on eigenvalue assignment is derived. Particularly, the spectrum of the reduced textit{Laplacian matrix} is selected as a subset of the spectrum of the original textit{Laplacian matrix}. The resulting reduced-order model retains the network protocol of diffusive couplings, and thus the synchronization property is preserved. Moreover, a concise expression for the upper-bound of the mathcal{H}_{2} approximation error is presented in the setting of a leader-follower network, and it provides a guideline to select the eigenvalues of the reduced textit{Laplacian matrix}. The effectiveness of the proposed method is finally illustrated via the application to a spacecraft network, with a comparison of performances with the graph clustering method in cite{monshizadeh2014projection} and balanced truncation approach in cite{cheng2017balancedb}.

KW - Model/Controller reduction, Networked control systems, Network analysis and control

U2 - 10.1109/CDC40024.2019.9029857

DO - 10.1109/CDC40024.2019.9029857

M3 - Conference contribution

SN - 978-1-7281-1398-2

SP - 7794

EP - 7799

BT - Proceedings of the 58th Conference on Decision and Control

PB - IEEE

ER -

ID: 98550487