Temperature-dependent asymmetric Prandtl-Ishlinskii hysteresis model for piezoelectric actuators

Abstract

A temperature-dependent asymmetric Prandtl-Ishlinskii (TAPI) model is developed to describe changes in hysteresis curves with respect to temperature found in the displacement curves vs. input voltage of a piezoelectric actuator (PEA). The proposed modeling scheme considers nonlinearities in an idealized capacitor term in the electromechanical model of the PEA to introduce both asymmetry and temperature dependence in the model. The developed model has the advantage of incorporating asymmetric and thermal effects in a hysteresis-free region of the model which simplifies inversion of the model as well as parameter determination. A parameter identification scheme is described to simplify model identification, even for a large number of thresholds, based on the advantages of the classical PI model. The TAPI model is verified experimentally and a compensator is designed to demonstrate that the PEA output is effectively linearized throughout the temperature range.

Design and experimental evaluation of an inchworm motor driven by bender-type piezoelectric actuators

“…A bender-type PEA combines bending PEAs and extending PEAs using the bonding layer that absorbs internal stress, and this bonding layer increases flexibility of bender-type PEAs. Each bender-type PEAs on the top arranged along counterclockwise are named as [1], [2], [3] and [4] respectively. Correspondingly, each PEAs on the bottom are separately labeled as…”

“…Additionally, it is acknowledged that the bender-type PEAs push the runner by interaction force effect, so interaction forces analysis schematic of the runner when it is driven is shown in figure 5. The centroid of the runner was used to obtain force analysis, where the forces of PEAs arranged on the top are named as F [1] , F [2] , F [3] and F [4] , respectively, and the deformation angles of PEAs on the runner are separately named as θ [1] , θ [2] , θ [3] and θ [4] . Similarly, the forces of PEAs on the bottom are separately labeled as…”

“…Piezoelectric actuators (PEAs) are transducers producing a mechanical displacement in response to an applied voltage based on an inverse piezoelectric effect [1,2]. Given their nano-precision displacement, rapid response, and high positioning accuracy [3,4], PEAs are widely used in the fields * Author to whom any correspondence should be addressed.…”

Modeling and identification of nonlinear hysteresis behavior of piezoelectric actuators using a computationally efficient phenomenological model and modified cuckoo search algorithm

“…Different from physical models, phenomenological hysteresis models employ numerical equations directly to characterize nonlinear input and output relationships of hysteresis, without regard to the natural physical properties. Accordingly, phenomenological models are extensively applied in nonlinear hysteresis modeling of PZT actuators, such as Preisach model [9][10][11][12], Maxwell slip model [13,14], Prandtl-Ishlinskii (PI) model [15][16][17], Rayleigh model [18], Dahl model [19], Duhem model [20,21], Jiles-Atherton (J-A) model [22], neural networks model [23], frictional model [24], Bouc-Wen (BW) model [25][26][27], etc. Xiao and Li [12] developed a modified inverse Preisach model to characterize hysteretic responses of PZT actuators at a wide frequency range, where µ-density functions and weights were optimized by fast Fourier transform to realize the online rate-dependent compensation of PZT hysteresis in real-time.…”

“…Liu et al [14] designed an extended Maxwell-slip model for portraying hysteretic behavior of PZT actuators, which consists of a stiffness function and a saturation deformation function. Savoie and Shann [17] considered the asymmetry property and thermal effect on the displacement outputs of PZT actuator, and proposed an asymmetrically temperature-dependent PI model. Xu and Li [19] proposed a novel phenomenological model of PZT actuator with Dahl hysteresis, the parameter of which were identified using particle swarm optimization (PSO) algorithm.…”