Hysteresis of smart devices should be modeled in order to improve the performances and to relieve the control system tasks. Prandtl-Ishlinskiĭ (PI) and Generalized Prandtl-Ishlinskiĭ (GPI) hysteresis operators are popular because of their easiness of implementation and of the availability of inverse closed formulas. Nevertheless, PI and GPI are a subset of Preisach model (PM). Therefore, in principle, they are limited in representing hysteretic behaviors with respect to PM. In this paper, a first attempt to study the representation error of GPI with respect to general Preisach hysteretic behavior is presented and evaluated through two numerical experiments.

Comparison of Prandtl–Ishlinskii and Preisach modeling for smart devices applications

Davino D;Visone C
2016-01-01

Abstract

Hysteresis of smart devices should be modeled in order to improve the performances and to relieve the control system tasks. Prandtl-Ishlinskiĭ (PI) and Generalized Prandtl-Ishlinskiĭ (GPI) hysteresis operators are popular because of their easiness of implementation and of the availability of inverse closed formulas. Nevertheless, PI and GPI are a subset of Preisach model (PM). Therefore, in principle, they are limited in representing hysteretic behaviors with respect to PM. In this paper, a first attempt to study the representation error of GPI with respect to general Preisach hysteretic behavior is presented and evaluated through two numerical experiments.
2016
Hysteresis modeling; Smart materials
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.12070/6168
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