ℋ2 sub-optimal model reduction for second-order network systems

Lanlin Yu, Xiaodong Cheng, Jacquelien M.A. Scherpen, Emma Gort

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

7 Citations (Scopus)

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 languageEnglish
Title of host publication2019 IEEE 58th Conference on Decision and Control, CDC 2019
Place of PublicationPiscataway
PublisherInstitute of Electrical and Electronics Engineers
Pages5062-5067
Number of pages6
ISBN (Electronic)978-1-7281-1398-2
DOIs
Publication statusPublished - 12 Mar 2020
Event58th IEEE Conference on Decision and Control, CDC 2019 - Nice, France, Nice, France
Duration: 11 Dec 201913 Dec 2019
Conference number: 58
https://cdc2019.ieeecss.org/

Conference

Conference58th IEEE Conference on Decision and Control, CDC 2019
Abbreviated titleCDC 2019
Country/TerritoryFrance
CityNice
Period11/12/1913/12/19
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).

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