liu.seSearch for publications in DiVA
Change search
CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • harvard1
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • oxford
  • 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
Nonlinear Dynamics Identified by Multi-Index Models
Linköping University, Department of Electrical Engineering, Automatic Control. Linköping University, The Institute of Technology.
Linköping University, Department of Electrical Engineering, Automatic Control. Linköping University, The Institute of Technology.
2007 (English)Report (Other academic)
Abstract [en]

For a class of nonlinear systems, the residual of a well fitted model has low intrinsic dimensionality. For these systems, a particular low-dimensional linear projection of the regressor will facilitate both visualization of the nonlinearities and subsequent nonlinear modeling. The least squares fit of polynomial and piecewise affine functions are used as criterion by which numerical programs search for the linear projection that gives the best low-dimensional description of the residual. For a simulated water tank and for real life data sampled from an electronic circuit, the regressor can be projected down to 2 dimensions and still yield a model simulation fit of about 99%. The electronic circuit data can be described by a model structure with far less parameters than conventional, nonlinear black-box models.

Place, publisher, year, edition, pages
Linköping: Linköping University Electronic Press, 2007. , 9 p.
Series
LiTH-ISY-R, ISSN 1400-3902 ; 2791
Keyword [en]
System identification-Multi-index models-Projection pursuit
National Category
Control Engineering
Identifiers
URN: urn:nbn:se:liu:diva-56057ISRN: LiTH-ISY-R-2791OAI: oai:DiVA.org:liu-56057DiVA: diva2:316881
Available from: 2010-04-30 Created: 2010-04-30 Last updated: 2014-09-03Bibliographically approved

Open Access in DiVA

fulltext(1290 kB)67 downloads
File information
File name FULLTEXT01.pdfFile size 1290 kBChecksum SHA-512
cf93fc11297860cd998b2d12be06b7d771c181b65c5448a4191e677682d13dc260e96c8da7d151b8dba0d8324280e7b5a1f171dd55684f2a21c88e226434e3b4
Type fulltextMimetype application/pdf

Authority records BETA

Lindgren, DavidLjung, Lennart

Search in DiVA

By author/editor
Lindgren, DavidLjung, Lennart
By organisation
Automatic ControlThe Institute of Technology
Control Engineering

Search outside of DiVA

GoogleGoogle Scholar
Total: 67 downloads
The number of downloads is the sum of all downloads of full texts. It may include eg previous versions that are now no longer available

urn-nbn

Altmetric score

urn-nbn
Total: 152 hits
CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • harvard1
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • oxford
  • 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