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Nonlinear Dynamics Isolated by Delaunay Triangulation Criteria
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.
2004 (English)Report (Other academic)
Abstract [en]

Inspired by an idea by Q. Zhang, we show that Delaunay triangulation of data points sampled from a system with an additive nonlinearity gives a criterion by which a linear projection can be found that isolates the nonlinear dependence, leaving out the linear one. This isolation means the nonlinear modeling can be confined to a regressor space of lower dimensionality, which in turn means over-parameterization can be avoided. Monte Carlo simulations indicate that a particular criterion built on triangle asymmetries has a minimum that coincides with the sampled system nonlinear part. The criterion is however complex to compute and non-convex, which makes it difficult to optimize globally.

Place, publisher, year, edition, pages
Linköping: Linköping University Electronic Press, 2004. , 17 p.
Series
LiTH-ISY-R, ISSN 1400-3902 ; 2598
Keyword [en]
Identification, Delaunay triangulation, Nonlinear modeling, Monte Carlo simulation
National Category
Control Engineering
Identifiers
URN: urn:nbn:se:liu:diva-55981ISRN: LiTH-ISY-R-2598OAI: oai:DiVA.org:liu-55981DiVA: diva2:316755
Available from: 2010-04-30 Created: 2010-04-30 Last updated: 2014-09-04Bibliographically approved

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Lindgren, DavidLjung, Lennart

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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