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
A time-periodic sector condition for limit cycle robustness
KTH, School of Engineering Sciences (SCI), Mathematics (Dept.), Optimization and Systems Theory.
2007 (English)In: Proceedings Of The 46th IEEE Conference On Decision And Control, Vols 1-14, 2007, 1513-1519 p.Conference paper, Published paper (Refereed)
Abstract [en]

Existence and robustness of periodic oscillations in autonomous feedback systems are considered for systems with separable nonlinearities. Local quadratic separation of the nonlinear dynamics from the linear part of the dynamics is used to characterize a set of systems that exhibit periodic oscillation in a bounded frequency and amplitude band range. The quadratic constraint is generated as a time-periodic sector condition that characterizes the nonlinearity along a nominal periodic solution. The main analysis condition is formulated as an operator inequality involving the nominal dynamics and the sector constraint. This is an infinite dimensional robustness test that must be truncated to be verified numerically. We discuss two possible ways of performing the analysis.

Place, publisher, year, edition, pages
2007. 1513-1519 p.
Series
IEEE Conference On Decision And Control - Proceedings, ISSN 0191-2216
National Category
Mathematics
Identifiers
URN: urn:nbn:se:kth:diva-41054DOI: 10.1109/CDC.2007.4434255ISI: 000255181700252Scopus ID: 2-s2.0-62749136267ISBN: 978-1-4244-1497-0 (print)OAI: oai:DiVA.org:kth-41054DiVA: diva2:444794
Conference
46th IEEE Conference on Decision and Control Location: New Orleans, LA Date: DEC 12-14, 2007
Note
QC 20110930Available from: 2011-09-30 Created: 2011-09-23 Last updated: 2011-09-30Bibliographically approved

Open Access in DiVA

No full text

Other links

Publisher's full textScopus

Search in DiVA

By author/editor
Jönsson, Ulf T.
By organisation
Optimization and Systems Theory
Mathematics

Search outside of DiVA

GoogleGoogle Scholar

doi
isbn
urn-nbn

Altmetric score

doi
isbn
urn-nbn
Total: 19 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