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Fractional-order model and experimental verification for broadband hysteresis in piezoelectric actuators

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Abstract

Piezoelectric actuators are increasingly popular for high-accuracy and high-speed nanopositioning systems. However, nonlinear rate-dependent hysteresis of piezoelectric actuators leads to many difficulties in accurately analyzing the dynamic characteristics of piezoelectric nanopositioning systems in a wide frequency band. This paper proposes fractional-order model methods to characterize the hysteresis of piezoelectric actuators in time and frequency domains. Input voltage and output displacement of the piezoelectric actuator in time domain are employed to identify the parameters of the fractional-order model. Moreover, amplitude and phase errors are utilized to obtain the fractional model in frequency domain. Simulations and experiments are performed to validate the effectiveness of the proposed fractional-order model. The results show that the identified model in frequency domain is preferable in a wider frequency range from 1 to 200 Hz, and the maximum error is about 4.47%.

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Acknowledgements

This study has been supported by the National Key Research & Development Program of China (Grant No. 2018YFB1306100) and the National Natural Science Foundation of China (Grant Nos. 51575426, 51421004).

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Authors and Affiliations

  1. Key Laboratory of Education Ministry for Modern Design and Rotor-Bearing System, School of Mechanical Engineering, Xi’an Jiaotong University, Xi’an, 710049, China

    Changshun Ding & Junyi Cao

  2. School of Engineering, University of California, Merced, 95343, USA

    YangQuan Chen

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  1. Changshun Ding
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  2. Junyi Cao
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Correspondence to Junyi Cao.

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Ding, C., Cao, J. & Chen, Y. Fractional-order model and experimental verification for broadband hysteresis in piezoelectric actuators. Nonlinear Dyn 98, 3143–3153 (2019). https://doi.org/10.1007/s11071-019-05128-w

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