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Identifiability Analysis of Prandtl-Ishilinskii Hysteresis Model with Saturation
Mittuniversitetet, Fakulteten för naturvetenskap, teknik och medier, Institutionen för informationsteknologi och medier. (SensibleReality, MUCOM)ORCID-id: 0000-0003-3751-6089
Mittuniversitetet, Fakulteten för naturvetenskap, teknik och medier, Institutionen för naturvetenskap, teknik och matematik.
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2008 (engelsk)Inngår i: Physica. B, Condensed matter, ISSN 0921-4526, E-ISSN 1873-2135, Vol. 403, nr 2-3, s. 266-270Artikkel i tidsskrift (Fagfellevurdert) Published
Abstract [en]

A new class of Preisach operators based on play operators with an inverse in a closed form and allowing for saturation has recently been proposed. Its existence criteria and identification procedure were considered in earlier articles. The present paper analyses the identification procedure with respect to the sensitivity to underlying functions (i.e. intrinsic behaviour of the hysteretic system), to spline approximation, and to the least square error estimation procedure. The analysis shows that model errors are significantly influenced by large derivatives of the underlying functions. Spline approximations have generally little effect on model errors. In particular, an upper bound of for the relative parameter error due to measurement discrepancies has been derived for the least square error problem. The bound increases, the closer to saturation data are measured.

sted, utgiver, år, opplag, sider
2008. Vol. 403, nr 2-3, s. 266-270
Emneord [en]
inversion, hysteresis, Preisach model, identification, spline, least square error
HSV kategori
Identifikatorer
URN: urn:nbn:se:miun:diva-4124DOI: 10.1016/j.physb.2007.08.025ISI: 000252913300010Scopus ID: 2-s2.0-37349043182Lokal ID: 5030OAI: oai:DiVA.org:miun-4124DiVA, id: diva2:29156
Konferanse
6th International Symposium on Hysteresis and Modeling Micromagnetics, Jun 04-06, 2007, Naples, Italy
Merknad
6th International Symposium on Hysteresis and Modeling Micromagnetics, JUN 04-06, 2007, Naples, ItalyTilgjengelig fra: 2008-11-19 Laget: 2008-11-19 Sist oppdatert: 2018-01-12bibliografisk kontrollert

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