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. (c) 2005 Elsevier B.V. All rights reserved.