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Identifiability Analysis of Prandtl-Ishilinskii Hysteresis Model with Saturation - Derivations
Mid Sweden University, Faculty of Science, Technology and Media, Department of Information Technology and Media. (MUCOM)ORCID iD: 0000-0003-3751-6089
Mid Sweden University, Faculty of Science, Technology and Media, Department of Engineering, Physics and Mathematics.
Responsible organisation
2007 (English)Report (Other academic)
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 show 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.

Place, publisher, year, edition, pages
2007.
Series
MUCOM technical report
Keyword [en]
inversion, hysteresis, Prandtl model, Preisach model, identification, least square error
National Category
Electrical Engineering, Electronic Engineering, Information Engineering Mathematics Computer Science
Identifiers
URN: urn:nbn:se:miun:diva-5917Local ID: 5031OAI: oai:DiVA.org:miun-5917DiVA: diva2:30950
Available from: 2008-09-30 Created: 2008-12-17 Last updated: 2017-08-22Bibliographically approved

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Sjöström, MårtenGulliksson, Mårten

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