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Generalized incremental balanced truncation for nonlinear systems
KTH, School of Electrical Engineering (EES), Automatic Control. KTH, School of Electrical Engineering (EES), Centres, ACCESS Linnaeus Centre.ORCID iD: 0000-0001-5194-3306
2013 (English)In: 2013 IEEE 52nd Annual Conference on Decision and Control (CDC), IEEE conference proceedings, 2013, 5552-5557 p.Conference paper, Published paper (Refereed)
Abstract [en]

The method of generalized incremental balanced truncation is introduced in this paper, providing a technique for model reduction of nonlinear systems in which the autonomous part of the vector field is anti-symmetric. This approach differs from existing balancing-like reduction techniques in the definition of two novel, incremental energy functions, which provides several advantages. First, stability properties of the reduced-order model can be guaranteed, hereby considering the stability of trajectories for both zero and nonzero input. Second, a computable bound on the reduction error is derived. The reduction technique is illustrated by means of application to an example of a nonlinear electronic circuit.

Place, publisher, year, edition, pages
IEEE conference proceedings, 2013. 5552-5557 p.
Series
IEEE Conference on Decision and Control. Proceedings, ISSN 0743-1546
Keyword [en]
Nonlinear systems, Stability, Anti-symmetric, Balanced truncation, Energy functions, Model reduction, Nonlinear electronic circuits, Reduced order models, Reduction techniques, Stability properties, Control theory
National Category
Electrical Engineering, Electronic Engineering, Information Engineering
Identifiers
URN: urn:nbn:se:kth:diva-150878DOI: 10.1109/CDC.2013.6760764ISI: 000352223506047Scopus ID: 2-s2.0-84902354952ISBN: 978-146735717-3 (print)OAI: oai:DiVA.org:kth-150878DiVA: diva2:745732
Conference
52nd IEEE Conference on Decision and Control, CDC 2013, 10 December 2013 through 13 December 2013, Florence, Italy
Note

QC 20140911

Available from: 2014-09-11 Created: 2014-09-11 Last updated: 2015-12-08Bibliographically approved

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Besselink, Bart

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CiteExportLink to record
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Citation style
  • apa
  • harvard1
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
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