We introduce a new class of time dependent hysteresis models by combining the time
dependent Prandtl–Ishlinskii model with functional nonlinearities. This combination …

Smart actuators, such as shape memory alloy (SMA) and magnetostrictive actuators, exhibit
saturation nonlinearity and hysteresis that may be symmetric or asymmetric. The Prandtl …

We present a time-dependent stop operator-based Prandtl–Ishlinskii model to characterize
singular hysteresis loops in a piezoceramic actuator. The model is constructed based on the …

In this paper, a generalized hysteresis model is developed to describe both rate-
independent and rate-dependent hysteresis in piezoelectric actuators. Based on the …

Abstract A generalized Prandtl–Ishlinskii (PI) model has been proposed in Al Janaideh et al
(2009 Smart Mater. Struct. 18 045001) to describe the asymmetric hysteresis in smart …

A generalized Prandtl–Ishlinskii model is proposed for characterizing the rate-dependent
hysteresis behavior of smart actuators. A rate-dependent play operator is formulated and …

Hysteresis is a nonlinear phenomenon arising in diverse fields such as mechanics, biology,
electronics, and economics (see “Summary”). In particular, hysteresis is ubiquitously …

Hysteresis of piezoelectric actuators is rate-dependent at high frequencies, but most of the
hysteresis models are rate-independent and cannot describe the rate-dependent hysteresis …

The hysteresis nonlinearities of a magnetostrictive actuator were characterized under
different amplitudes of simple and complex harmonic excitations over a wide range of …

Piezoelectric, magnetostrictive, and shape memory alloy actuators are gaining importance in
high-frequency precision applications constrained by space. Their intrinsic hysteretic …