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
Dynamic equations on time-scale: Application to stability analysis and stabilization of aperiodic sampled-data systems
KTH, School of Engineering Sciences (SCI), Mathematics (Dept.), Optimization and Systems Theory. KTH, School of Electrical Engineering (EES), Centres, ACCESS Linnaeus Centre.
KTH, School of Engineering Sciences (SCI), Mathematics (Dept.), Optimization and Systems Theory. KTH, School of Electrical Engineering (EES), Centres, ACCESS Linnaeus Centre.
2011 (English)In: IFAC Proc. Vol. (IFAC-PapersOnline), 2011, no PART 1, 11374-11379 p.Conference paper, Published paper (Refereed)
Abstract [en]

The stability analysis of systems with aperiodic sampling is analyzed in the framework of dynamic equations on time-scales. Lyapunov theory is used, with sample-period-dependent and independent Lyapunov functions, to obtain stability conditions expressed in terms of parameter dependent matrix inequalities. The examples illustrate the efficiency of the approach which is able to recover, for some systems, the theoretical results for the periodic sampling case even in the aperiodic case. It is also shown that some systems may have admissible varying sampling periods located in disjoint sets. Finally, stabilization results via switching statefeedback are provided; both robust and sampling-period-dependent controllers are considered. It is shown that the latter ones, using the information on the sampling period, can improve stability properties. Stabilization examples illustrate the effectiveness of the approach.

Place, publisher, year, edition, pages
2011. no PART 1, 11374-11379 p.
Series
IFAC Proceedings Volumes (IFAC-PapersOnline), ISSN 1474-6670 ; 18
Keyword [en]
Dynamic equations on time-scales, LMIs, LPV control, Sampled-data systems, Disjoint sets, Dynamic equations, Lyapunov theories, Parameter-dependent matrix, Periodic sampling, Sampled data systems, Sampling period, Stability analysis, Stability condition, Stability properties, Theoretical result, Time-scales, Lyapunov functions, Sampled data control systems, Stabilization
National Category
Embedded Systems
Identifiers
URN: urn:nbn:se:kth:diva-150207DOI: 10.3182/20110828-6-IT-1002.01815Scopus ID: 2-s2.0-84866358688ISBN: 9783902661937 (print)OAI: oai:DiVA.org:kth-150207DiVA: diva2:742970
Conference
18th IFAC World Congress, 28 August 2011 through 2 September 2011, Milano, Italy
Note

QC 20140903

Available from: 2014-09-03 Created: 2014-09-01 Last updated: 2014-10-03Bibliographically approved

Open Access in DiVA

No full text

Other links

Publisher's full textScopus

Search in DiVA

By author/editor
Briat, CorentinJönsson, Ulf T.
By organisation
Optimization and Systems TheoryACCESS Linnaeus Centre
Embedded Systems

Search outside of DiVA

GoogleGoogle Scholar

doi
isbn
urn-nbn

Altmetric score

doi
isbn
urn-nbn
Total: 63 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