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Transient and Harmonic Unipolar Hysteresis Model of Piezoelectric Actuators Using a System-Level Approach

1
School of Aeronautics, Northwestern Polytechnical University, Xi’an 710068, China
2
Univ. Lyon, INSA-Lyon, LGEF EA 682, F-69621 Villeurbanne, France
*
Author to whom correspondence should be addressed.
Appl. Sci. 2020, 10(20), 7268; https://doi.org/10.3390/app10207268
Received: 25 August 2020 / Revised: 30 September 2020 / Accepted: 13 October 2020 / Published: 17 October 2020
(This article belongs to the Section Acoustics and Vibrations)
Thanks to their integrability and good electromechanical conversion abilities, piezoelectric actuators are a good choice for many actuation applications. However, these elements feature a frequency-dependent hysteresis response that may yield complex control implementation. The purpose of this paper is to provide the extension of a simple hysteresis model based on a system-level approach linking the strain derivative to the driving voltage derivative and taking into account the dynamic behavior of the hysteretic response of the actuator. The proposed enhancement consists of transient and harmonic regimes, allowing to extend the quasi-static model to dynamic behavior with any frequency. In particular, initial strain shift arising from stabilization and accommodation effects as well as frequency-dependent hysteresis shape are considered. The inclusion of the system dynamics in the model is obtained thanks to fractional derivatives and associated fractional transfer functions, allowing the consideration of the full actuator history as well as a fine tuning of the system dynamics over a wide frequency band. Finally, a numerical example of linearized control through compensation loop is provided, demonstrating the interest in the proposed approach for providing a computationally-efficient, simple yet efficient way for finely predicting the actuator response and thus designing appropriate controllers. View Full-Text
Keywords: hysteresis; piezoelectric actuator; control hysteresis; piezoelectric actuator; control
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MDPI and ACS Style

Lallart, M.; Li, K.; Yang, Z.; Zhou, S. Transient and Harmonic Unipolar Hysteresis Model of Piezoelectric Actuators Using a System-Level Approach. Appl. Sci. 2020, 10, 7268. https://doi.org/10.3390/app10207268

AMA Style

Lallart M, Li K, Yang Z, Zhou S. Transient and Harmonic Unipolar Hysteresis Model of Piezoelectric Actuators Using a System-Level Approach. Applied Sciences. 2020; 10(20):7268. https://doi.org/10.3390/app10207268

Chicago/Turabian Style

Lallart, Mickaël; Li, Kui; Yang, Zhichun; Zhou, Shengxi. 2020. "Transient and Harmonic Unipolar Hysteresis Model of Piezoelectric Actuators Using a System-Level Approach" Appl. Sci. 10, no. 20: 7268. https://doi.org/10.3390/app10207268

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