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Complexity Reduction for Parameter-Dependent Linear Systems
KTH, School of Electrical Engineering (EES), Automatic Control. KTH, School of Electrical Engineering (EES), Centres, ACCESS Linnaeus Centre.
KTH, School of Electrical Engineering (EES), Automatic Control. KTH, School of Electrical Engineering (EES), Centres, ACCESS Linnaeus Centre.ORCID iD: 0000-0003-1835-2963
KTH, School of Electrical Engineering (EES), Automatic Control. KTH, School of Electrical Engineering (EES), Centres, ACCESS Linnaeus Centre.ORCID iD: 0000-0001-9940-5929
2013 (English)In: 2013 American Control Conference (ACC), American Automatic Control Council , 2013, 2624-2630 p.Conference paper, Published paper (Refereed)
Abstract [en]

We present a complexity reduction algorithm for a family of parameter-dependent linear systems when the system parameters belong to a compact semi-algebraic set. This algorithm potentially describes the underlying dynamical system with fewer parameters or state variables. To do so, it minimizes the distance (i.e., $H_\infty$-norm of the difference) between the original system and its reduced version. We present a sub-optimal solution to this problem using sum-of-squares optimization methods. We present the results for both continuous-time and discrete-time systems. Lastly, we illustrate the applicability of our proposed algorithm on numerical examples.

Place, publisher, year, edition, pages
American Automatic Control Council , 2013. 2624-2630 p.
Series
American Control Conference. Proceedings, ISSN 0743-1619
Keyword [en]
Large scale systems, Reduced order modeling, Linear systems
National Category
Control Engineering
Identifiers
URN: urn:nbn:se:kth:diva-124939ISI: 000327210202129Scopus ID: 2-s2.0-84883521472ISBN: 978-147990177-7 (print)OAI: oai:DiVA.org:kth-124939DiVA: diva2:638752
Conference
2013 1st American Control Conference, ACC 2013; Washington, DC; United States; 17 June 2013 through 19 June 2013
Note

QC 20131105

Available from: 2013-08-02 Created: 2013-08-02 Last updated: 2014-01-07Bibliographically approved

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Sandberg, HenrikJohansson, Karl Henrik

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CiteExportLink to record
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Citation style
  • apa
  • harvard1
  • ieee
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Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
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  • Other locale
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Output format
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  • asciidoc
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