I'm trying to model a non-linear, static SISO system with

  • input variable $u$
  • disturbance variable $z$ (can be controlled for identification purposes but not during actual operation)
  • output variable $x$
  • system behaviour $N\{x,u,z\}$ is hysteresis afflicted for both $u$ and $z$
  • $u$ and $z$ influence the hysteresis characteristics of each other

I'm searching for any literature that deals with this kind of problem. It should contain approaches on how to model such a system and if possible a way to invert it, because ultimately I'm trying to linearize the overall behaviour $N^{-1}\{N\} = 1$.


I found 2 possible approaches:

  1. Mayergoyz describes in chapter 2 of his book "Mathematical Models of Hysteresis and Their Applications" a Preisach model of magnetostricitve material. He considers a system with two cross-coupled inputs, which suits the problem prefectly.
  2. If the hysteresis of the disturbance value $z$ is negligible, one might try the modified Prandtl-Ishlinksi approach, in which the influence of $z$ on the $x$-$u$ hysteresis is modelled by an unambiguous characteristic. Furthermore this approach is highly suited for compensation purposes, since the model can be analytically inverted.

Your Answer

By clicking “Post Your Answer”, you agree to our terms of service, privacy policy and cookie policy

Not the answer you're looking for? Browse other questions tagged or ask your own question.