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

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

doi:10.1109/CDC40024.2019.9029735

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

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

Onderzoeksoutput: Hoofdstuk in Boek/Rapport/Congresprocedure › Conferentiebijdrage › Academic › peer review

7 Citaten (Scopus)

Samenvatting

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.

Originele taal-2	Engels
Titel	2019 IEEE 58th Conference on Decision and Control, CDC 2019
Plaats van productie	Piscataway
Uitgeverij	Institute of Electrical and Electronics Engineers
Pagina's	5062-5067
Aantal pagina's	6
ISBN van elektronische versie	978-1-7281-1398-2
DOI's	https://doi.org/10.1109/CDC40024.2019.9029735
Status	Gepubliceerd - 12 mrt. 2020
Evenement	2019 IEEE 58th Conference on Decision and Control (CDC) - Nice, France, Nice, Frankrijk Duur: 11 dec. 2019 → 13 dec. 2019 Congresnummer: 58 https://cdc2019.ieeecss.org/

Congres

Congres	2019 IEEE 58th Conference on Decision and Control (CDC)
Verkorte titel	CDC 2019
Land/Regio	Frankrijk
Stad	Nice
Periode	11/12/19 → 13/12/19
Internet adres	https://cdc2019.ieeecss.org/

Financiering

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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10.1109/CDC40024.2019.9029735

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@inproceedings{a6f9bbd480dc4093b86d80e76ba824d4,

title = "ℋ2 sub-optimal model reduction for second-order network systems",

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.",

author = "Lanlin Yu and Xiaodong Cheng and Scherpen, \{Jacquelien M.A.\} and Emma Gort",

year = "2020",

month = mar,

day = "12",

doi = "10.1109/CDC40024.2019.9029735",

language = "English",

pages = "5062--5067",

booktitle = "2019 IEEE 58th Conference on Decision and Control, CDC 2019",

publisher = "Institute of Electrical and Electronics Engineers",

address = "United States",

note = "58th IEEE Conference on Decision and Control, CDC 2019, CDC 2019 ; Conference date: 11-12-2019 Through 13-12-2019",

url = "https://cdc2019.ieeecss.org/",

}

Yu, L, Cheng, X, Scherpen, JMA & Gort, E 2020, ℋ2 sub-optimal model reduction for second-order network systems. in 2019 IEEE 58th Conference on Decision and Control, CDC 2019., 9029735, Institute of Electrical and Electronics Engineers, Piscataway, blz. 5062-5067, 2019 IEEE 58th Conference on Decision and Control (CDC), Nice, Frankrijk, 11/12/19. https://doi.org/10.1109/CDC40024.2019.9029735

ℋ2 sub-optimal model reduction for second-order network systems. / Yu, Lanlin; Cheng, Xiaodong; Scherpen, Jacquelien M.A. et al.
2019 IEEE 58th Conference on Decision and Control, CDC 2019. Piscataway: Institute of Electrical and Electronics Engineers, 2020. blz. 5062-5067 9029735.

Onderzoeksoutput: Hoofdstuk in Boek/Rapport/Congresprocedure › Conferentiebijdrage › Academic › peer review

TY - GEN

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AB - 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.

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ER -

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

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