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 Laplacian matrix is selected as a subset of the spectrum of the original 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 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 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 [1] and balanced truncation approach in [2].
Original language | English |
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Title of host publication | 2019 IEEE 58th Conference on Decision and Control, CDC 2019 |
Place of Publication | Piscataway |
Publisher | Institute of Electrical and Electronics Engineers |
Pages | 7794-7799 |
Number of pages | 6 |
ISBN (Electronic) | 9781728113982 |
DOIs | |
Publication status | Published - 12 Mar 2020 |
Event | 58th IEEE Conference on Decision and Control, CDC 2019 - Nice, France, Nice, France Duration: 11 Dec 2019 → 13 Dec 2019 Conference number: 58 https://cdc2019.ieeecss.org/ |
Conference
Conference | 58th IEEE Conference on Decision and Control, CDC 2019 |
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Abbreviated title | CDC 2019 |
Country/Territory | France |
City | Nice |
Period | 11/12/19 → 13/12/19 |
Internet address |