“Moving” Prandtl-Ishilinskii operators with compensator in a closed form

The present paper proposes a class of Preisach-like hysteresis models with saturation having the compensator operator in a closed form, where a mean field contribution (moving model or feedback model) is also considered. The paper pays attention to the conditions for which such a “moving” model is well-defined. Moreover, attention is given to the identification procedures requiring a limited amount of data, where some constraints enhance the correspondence of the model to the underlying hysteresis. Examples showing performances of the model in cases of physical interest are provided.