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Robust Generation of LPV State-Space Models Using a Regularized H2-Cost
Linköping University, Department of Electrical Engineering, Automatic Control. Linköping University, The Institute of Technology. (Optimering)
Linköping University, Department of Electrical Engineering, Automatic Control. Linköping University, The Institute of Technology. (Optimering)
2010 (English)Report (Other academic)
Abstract [en]

In this paper we present a regularization of an H2-minimization based LPV-model generation algorithm. Our goal is to take care of uncertainties in the data, and obtain more robust models when we have few data. We give an interpretation of the regularization, which shows that the regularization has connections to robust optimization and worst-case approaches. We present how to effectively calculate the original cost function and its gradient, and extend these ideas to the regularized cost function and its gradient. A few examples, illustrating effects of both uncertain and few data, are finally presented to show the validity of the regularization. 

Place, publisher, year, edition, pages
Linköping: Linköping University Electronic Press, 2010. , 9 p.
Series
LiTH-ISY-R, ISSN 1400-3902 ; 2998
Keyword [en]
Optimization, LPV
National Category
Control Engineering
Identifiers
URN: urn:nbn:se:liu:diva-88941ISRN: LiTH-ISY-R-2998OAI: oai:DiVA.org:liu-88941DiVA: diva2:606346
Available from: 2013-02-19 Created: 2013-02-19 Last updated: 2014-09-22Bibliographically approved

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Robust Generation of LPV State-Space Models Using a Regularized H2-Cost(480 kB)80 downloads
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Petersson, DanielLöfberg, Johan

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CiteExportLink to record
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Citation style
  • apa
  • harvard1
  • ieee
  • modern-language-association-8th-edition
  • vancouver
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  • 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