A time-varying Gramian based model reduction approach for Linear Switched Systems

Md Sumon Hossain; Stephan Trenn

doi:10.1016/j.ifacol.2020.12.1580

A time-varying Gramian based model reduction approach for Linear Switched Systems

Md Sumon Hossain, Stephan Trenn

Systems, Control and Applied Analysis

Onderzoeksoutput › Academic › peer review

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Samenvatting

We propose a model reduction approach for switched linear system based on a balanced truncation reduction method for linear time-varying systems. The key idea is to approximate the piecewise-constant coefficient matrices with continuous time-varying coefficients and then apply available balance truncation methods for (continuous) time-varying systems. The proposed method is illustrated with a low dimensional academic example.

Originele taal-2	English
Titel	Proceedings of the IFAC World Congress 2020
Redacteuren	Rolf Findeisen, Sandra Hirche, Klaus Janschek, Martin Mönnigmann
Uitgeverij	IFAC
Pagina's	5629-5634
Aantal pagina's	6
Volume	53
Uitgave	2
DOI's	https://doi.org/10.1016/j.ifacol.2020.12.1580
Status	Published - 2020
Evenement	21st IFAC World Congress 2020 - Berlin, Germany Duur: 11-jul-2020 → 17-jul-2020 https://www.ifac2020.org/

Publicatie series

Naam	IFAC Proceedings Volumes (IFAC-PapersOnline)
Uitgeverij	IFAC
Nummer	2
Volume	53
ISSN van geprinte versie	2405-8963

Conference

Conference	21st IFAC World Congress 2020
Land/Regio	Germany
Stad	Berlin
Periode	11/07/2020 → 17/07/2020
Internet adres	https://www.ifac2020.org/

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10.1016/j.ifacol.2020.12.1580Licentie: CC BY-NC-ND

A time-varying Gramian based model reduction approach for Linear Switched SystemsFinal publisher's version, 563 KBLicentie: CC BY-NC-ND

Citeer dit

Hossain, M. S., & Trenn, S. (2020). A time-varying Gramian based model reduction approach for Linear Switched Systems. In R. Findeisen, S. Hirche, K. Janschek, & M. Mönnigmann (editors), Proceedings of the IFAC World Congress 2020 (2 redactie, Vol. 53, blz. 5629-5634). (IFAC Proceedings Volumes (IFAC-PapersOnline); Vol. 53, Nr. 2). IFAC. https://doi.org/10.1016/j.ifacol.2020.12.1580

@inproceedings{f04a6004ecb24e7e88fbc36ec6c822c0,

title = "A time-varying Gramian based model reduction approach for Linear Switched Systems",

abstract = "We propose a model reduction approach for switched linear system based on a balanced truncation reduction method for linear time-varying systems. The key idea is to approximate the piecewise-constant coefficient matrices with continuous time-varying coefficients and then apply available balance truncation methods for (continuous) time-varying systems. The proposed method is illustrated with a low dimensional academic example.",

author = "Hossain, {Md Sumon} and Stephan Trenn",

year = "2020",

doi = "10.1016/j.ifacol.2020.12.1580",

language = "English",

volume = "53",

series = "IFAC Proceedings Volumes (IFAC-PapersOnline)",

publisher = "IFAC",

number = "2",

pages = "5629--5634",

editor = "Rolf Findeisen and Sandra Hirche and Janschek, {Klaus } and Martin M{\"o}nnigmann",

booktitle = "Proceedings of the IFAC World Congress 2020",

edition = "2",

note = "21st IFAC World Congress 2020 ; Conference date: 11-07-2020 Through 17-07-2020",

url = "https://www.ifac2020.org/",

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Hossain, MS & Trenn, S 2020, A time-varying Gramian based model reduction approach for Linear Switched Systems. in R Findeisen, S Hirche, K Janschek & M Mönnigmann (redactie), Proceedings of the IFAC World Congress 2020. 2 edn, vol. 53, IFAC Proceedings Volumes (IFAC-PapersOnline), nr. 2, vol. 53, IFAC, blz. 5629-5634, 21st IFAC World Congress 2020, Berlin, Germany, 11/07/2020. https://doi.org/10.1016/j.ifacol.2020.12.1580

A time-varying Gramian based model reduction approach for Linear Switched Systems. / Hossain, Md Sumon ; Trenn, Stephan.

Proceedings of the IFAC World Congress 2020. redactie / Rolf Findeisen; Sandra Hirche; Klaus Janschek; Martin Mönnigmann. Vol. 53 2. redactie IFAC, 2020. blz. 5629-5634 (IFAC Proceedings Volumes (IFAC-PapersOnline); Vol. 53, Nr. 2).

Onderzoeksoutput › Academic › peer review

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AB - We propose a model reduction approach for switched linear system based on a balanced truncation reduction method for linear time-varying systems. The key idea is to approximate the piecewise-constant coefficient matrices with continuous time-varying coefficients and then apply available balance truncation methods for (continuous) time-varying systems. The proposed method is illustrated with a low dimensional academic example.

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