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A Rank Minimization Formulation for Identification of Linear Parameter Varying Models
MathWorks Inc, MA 01760 USA.
Northeastern Univ, MA 02115 USA.
Linköping University, Department of Electrical Engineering, Automatic Control. Linköping University, Faculty of Science & Engineering.
2018 (English)In: IFAC PAPERSONLINE, ELSEVIER SCIENCE BV , 2018, Vol. 51, no 26, p. 74-80Conference paper, Published paper (Refereed)
Abstract [en]

We explore the problem of identification of LPV models when the scheduling variables are not known in advance and the model parameters exhibit a dynamic dependence on them. We consider an affine ARX model structure whose parameters vary with time. We solve for the models parameters and scheduling variables in two steps. In the first step, we use the measured input-output data to realize a parameter trajectory by solving a regularized Hankel matrix rank minimization problem. The regularization penalty is guided by the prior knowledge regarding the nature of systems time variation. In the second step, the scheduling variables are estimated as parameters of a sparse ARX structure relating the models parameters to the measured input-output variables. The effectiveness of the proposed approach is illustrated with two practical examples. (C) 2018, IFAC (International Federation of Automatic Control) Hosting by Elsevier Ltd. All rights reserved.

Place, publisher, year, edition, pages
ELSEVIER SCIENCE BV , 2018. Vol. 51, no 26, p. 74-80
Keywords [en]
LPV; subspace; convex optimization; rank minimization; system identification; bilinear; LTV
National Category
Control Engineering
Identifiers
URN: urn:nbn:se:liu:diva-153416DOI: 10.1016/j.ifacol.2018.11.165ISI: 000451095300013OAI: oai:DiVA.org:liu-153416DiVA, id: diva2:1271473
Conference
Joint Meeting of the 2nd IFAC Workshop on Linear Parameter Varying Systems (LPVS) / 9th IFAC Symposium on Robust Control Design (ROCOND)
Note

Funding Agencies|NSF [ECCS-1404163, CNS-1646121, CMMI-1638234]; AFOSR [FA9550-12-1-0271]; Alert DHS Center of Excellence [2008-ST-061-ED0001]

Available from: 2018-12-17 Created: 2018-12-17 Last updated: 2018-12-17

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CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • 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