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Identification of Piecewise Affine Systems via Mixed-Integer Programming
Linköping University, Department of Electrical Engineering, Automatic Control. Linköping University, The Institute of Technology.
University of Siena, Italy.
Linköping University, Department of Electrical Engineering, Automatic Control. Linköping University, The Institute of Technology.
2003 (English)Report (Other academic)
Abstract [en]

This paper addresses the problem of identification of hybrid dynamical systems, by focusing the attention on hinging hyperplanes and Wiener piecewise affine autoregressive exogenous models, in which the regressor space is partitioned into polyhedra with affine submodels for each polyhedron. In particular, we provide algorithms based on mixed-integer linear or quadratic programming which are guaranteed to converge to a global optimum. For the special case where the estimation data only seldom switches between the different submodels, we also suggest a way of trading off between optimality and complexity by using a change detection approach.

Place, publisher, year, edition, pages
Linköping: Linköping University Electronic Press, 2003. , 25 p.
Series
LiTH-ISY-R, ISSN 1400-3902 ; 2480
Keyword [en]
System identification, Piecewise affine systems, Mixed-integer programming
National Category
Control Engineering
Identifiers
URN: urn:nbn:se:liu:diva-55900ISRN: LiTH-ISY-R-2480OAI: oai:DiVA.org:liu-55900DiVA: diva2:316632
Available from: 2010-04-30 Created: 2010-04-30 Last updated: 2014-10-03Bibliographically approved

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Roll, JacobLjung, 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