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

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic › peer-review

3 Citations (Scopus)

27 Downloads (Pure)

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.

Original language	English
Title of host publication	Proceedings of the IFAC World Congress 2020
Editors	Rolf Findeisen, Sandra Hirche, Klaus Janschek, Martin Mönnigmann
Publisher	IFAC
Pages	5629-5634
Number of pages	6
Volume	53
Edition	2
DOIs	https://doi.org/10.1016/j.ifacol.2020.12.1580
Publication status	Published - 2020
Event	21st IFAC World Congress 2020 - Berlin, Germany Duration: 11-Jul-2020 → 17-Jul-2020 https://www.ifac2020.org/

Publication series

Name	IFAC Proceedings Volumes (IFAC-PapersOnline)
Publisher	IFAC
Number	2
Volume	53
ISSN (Print)	2405-8963

Conference

Conference	21st IFAC World Congress 2020
Country/Territory	Germany
City	Berlin
Period	11/07/2020 → 17/07/2020
Internet address	https://www.ifac2020.org/

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

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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 (Eds.), Proceedings of the IFAC World Congress 2020 (2 ed., Vol. 53, pp. 5629-5634). (IFAC Proceedings Volumes (IFAC-PapersOnline); Vol. 53, No. 2). IFAC. https://doi.org/10.1016/j.ifacol.2020.12.1580

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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",

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

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

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

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

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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 (eds), Proceedings of the IFAC World Congress 2020. 2 edn, vol. 53, IFAC Proceedings Volumes (IFAC-PapersOnline), no. 2, vol. 53, IFAC, pp. 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. ed. / Rolf Findeisen; Sandra Hirche; Klaus Janschek; Martin Mönnigmann. Vol. 53 2. ed. IFAC, 2020. p. 5629-5634 (IFAC Proceedings Volumes (IFAC-PapersOnline); Vol. 53, No. 2).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › 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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