Change search
CiteExportLink to record
Permanent link

Direct link
Cite
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
  • rtf
Bounding L2 Gain System Error Due to Approximations of the Nonlinear Vector Field
Electrical Engineering and Computer Science, Massachusetts Institute of Technology.
Electrical Engineering and Computer Science, Massachusetts Institute of Technology.
Electrical Engineering and Computer Science, Massachusetts Institute of Technology.
2007 (English)In: Proceedings of the IEEE Conference on Computer-Aided Design, 2007, 879-886 p.Conference paper, Published paper (Refereed)
Abstract [en]

Typical nonlinear model order reduction approachesneed to address two issues: reducing the order ofthe model, and approximating the vector field. In this paperwe focus exclusively on the second issue, and present resultscharacterizing the repercussions at the system level of vector fieldapproximations. The error assessment problem is formulatedas the L2 gain upper bounding problem of a scaled feedbackinterconnection. Applying the small gain theorem in the proposedsetup, we prove that the L2 gain of the error system is upperbounded by the L2 gain of the vector field approximationerror, provided it is small. In addition, the paper also presentsa numerical procedure, based on the IQC/LMI approach, toperform the error estimation task with less conservatism. Anumerical example is given in this paper to demonstrate thepractical implications of the presented results.

Place, publisher, year, edition, pages
2007. 879-886 p.
National Category
Control Engineering
Identifiers
URN: urn:nbn:se:kth:diva-82413OAI: oai:DiVA.org:kth-82413DiVA: diva2:498216
Conference
IEEE/ACM International Conference on Computer-Aided Design. San Jose, CA, USA. 5-8 November 2007
Note
QC 20120522Available from: 2012-02-11 Created: 2012-02-11 Last updated: 2012-05-22Bibliographically approved

Open Access in DiVA

No full text

Search in DiVA

By author/editor
Sou, Kin Cheong
Control Engineering

Search outside of DiVA

GoogleGoogle Scholar

urn-nbn

Altmetric score

urn-nbn
Total: 27 hits
CiteExportLink to record
Permanent link

Direct link
Cite
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
  • rtf