Hysteresis parameter identification with limited experimental data

Ram V. Iyer, Matthew E. Shirley

Research output: Contribution to journalArticlepeer-review

63 Scopus citations


The Preisach operator and its variants have been successfully used in the modeling of hysteresis observed in ferromagnetic, magnetostrictive, and piezoelectric materials. However, in designing with these "smart" materials, one has to determine a density function for the Preisach operator by using the input-output behavior of the material at hand. In this paper, we describe a method for numerically determining an approximation of the density function when there is not enough experimental data to uniquely solve for the actual density function by Mayergoyz's method. We present theoretical justification for our method by establishing links to regularization methods for ill-posed problems. We also present numerical results where we estimate an approximate density function from data published in the literature for a magnetostrictive actuator and two electroactive polymers.

Original languageEnglish
Pages (from-to)3227-3239
Number of pages13
JournalIEEE Transactions on Magnetics
Issue number5
StatePublished - Sep 2004


  • Constrained least squares
  • Density function identification
  • Electroactive polymers
  • Hysteresis
  • Ill-posed problems
  • Magnetostrictive
  • Piezolelectric
  • Preisach operator
  • SMA actuators
  • SVD regularization
  • Smart materials


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