Abstract
This paper studies a moment matching model reduction method for second-order network systems. For a given complex second-order network system, our goal is to find a reduced second-order network system that achieves moment matching. Firstly, the original second-order network system is split into an asymptotically stable subsystem and an average subsystem. Then, moment matching approach is implemented to reduce the dimension of the asymptotically stable subsystem. The resulting reduced-order model is combined with the average subsystem, leading to a reduced second-order system preserves the semistability. Subsequently, a specific coordinate transform allows for the reduced-order model to be converted to a complete network. A mass-spring-damper network demonstrates the effectiveness of the proposed method.
| 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 | 5062-5067 |
| Number of pages | 6 |
| ISBN (Electronic) | 978-1-7281-1398-2 |
| 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 |
Funding
Lanlin Yu is with the Department of Automation, University of Science and Technology of China, Hefei 230026, China. [email protected] Xiaodong Cheng is with Control Systems Group, Department of Electrical Engineering Eindhoven University of Technology, 5600 MB Einhoven, The Netherlands. [email protected] Jacquelien M.A. Scherpen and Emma Gort are with Jan C. Willems Center for Systems and Control, Engineering and Technology Institute Groningen, Faculty of Science and Engineering, University of Groningen, Nijenborgh 4, 9747 AG Groningen, The Netherlands. [email protected], [email protected] This work of L. Yu was supported by Chinese Scholarship Council (CSC).