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
Optimization based LPV-Approximation of Multi-Model Systems
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.
2009 (English)In: Proceeding of the 10th European Control Conference, 2009, 3172-3177 p.Conference paper, Published paper (Refereed)
Abstract [en]

In this paper we have formulated the problem offinding an LPV-approximation to a system as an optimization problem. For this optimization problem we have presented two possible ways to solve this. The problem is posed as a model reduction problem and formulated such that it should try to preserve the input-output behavior of the system. In the two examples in the paper the potential of the new methods are shown. We have also shown the benefits of using model reduction techniques to capture the input-output behavior to obtain accurate low order LPV-approximations. One method uses SDP-optimization to solve the problem. SDP optimization has been a hot topic during the last years, but the problem with the SDP method is that it scales badly with the dimension of the problem. Also here it has bilinear constraint swhich makes the problem really difficult. With the other method we try to use a more general nonlinear approach which seem to be more suitable for this problem. For this method we have also calculated a gradient that can be used to apply a descentor Newton-like method to solve the problem.

Place, publisher, year, edition, pages
2009. 3172-3177 p.
Keyword [en]
LPV, Optimization, Identification
National Category
Control Engineering
Identifiers
URN: urn:nbn:se:liu:diva-21978OAI: oai:DiVA.org:liu-21978DiVA: diva2:242190
Conference
10th European Control Conference, Budapest, Hungary, August, 2009
Available from: 2009-10-07 Created: 2009-10-07 Last updated: 2013-09-16

Open Access in DiVA

No full text

Other links

Related report

Authority records BETA

Petersson, DanielLöfberg, Johan

Search in DiVA

By author/editor
Petersson, DanielLöfberg, Johan
By organisation
Automatic ControlThe Institute of Technology
Control Engineering

Search outside of DiVA

GoogleGoogle Scholar

urn-nbn

Altmetric score

urn-nbn
Total: 138 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