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Identification of Switched Linear Regression Models using Sum-of-Norms Regularization
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.
2013 (English)In: Automatica, ISSN 0005-1098, E-ISSN 1873-2836, Vol. 49, no 4, 1045-1050 p.Article in journal (Refereed) Published
Abstract [en]

This paper proposes a general convex framework for the identification of switched linear systems. The proposed framework uses over-parameterization to avoid solving the otherwise combinatorially forbidding identification problem, and takes the form of a least-squares problem with a sum-of-norms regularization, a generalization of the 1-regularization. The regularization constant regulates the complexity and is used to trade off the fit and the number of submodels.

Place, publisher, year, edition, pages
Elsevier, 2013. Vol. 49, no 4, 1045-1050 p.
Keyword [en]
Regularization, System identification, Sum-of-norms, Switched linear systems, Piecewise affine systems
National Category
Control Engineering
Identifiers
URN: urn:nbn:se:liu:diva-92612DOI: 10.1016/j.automatica.2013.01.031ISI: 000317167700024OAI: oai:DiVA.org:liu-92612DiVA: diva2:621693
Funder
Swedish Research Council
Note

Funding Agencies|Swedish foundation for strategic research in the center MOVIII||Swedish Research Council in the Linnaeus center CADICS||European Research Council|267381|Sweden-America Foundation||Swedish Science Foundation||

Available from: 2013-05-16 Created: 2013-05-14 Last updated: 2017-12-06

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Ohlsson, HenrikLjung, Lennart

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