Smart Structures and Systems

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Study of nonlinear hysteretic modelling and performance evaluation for piezoelectric actuators based on activation functions

  • Xingyang Xie (Faculty of Mechanical Engineering & Mechanics, Ningbo University) ;
  • Yuguo Cui (Faculty of Mechanical Engineering & Mechanics, Ningbo University) ;
  • Yang Yu (Centre for Infrastructure Engineering and Safety, School of Civil and Environmental Engineering, The University of New South Wales)
  • Received : 2022.12.12
  • Accepted : 2024.01.09
  • Published : 2024.02.25
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Abstract

Piezoelectric (PZT) actuators have been widely used in precision positioning fields for their excellent displacement resolution. However, due to the inherent characteristics of piezoelectric actuators, hysteresis has been proven to greatly reduce positioning performance. In this paper, five mathematical hysteretic models based on activation function are proposed to characterize the nonlinear hysteresis characteristics of piezoelectric actuators. Then the performance of the proposed models is verified by particle swarm optimization (PSO) algorithm and the experiment data. Thirdly, the fitting performance of the proposed models is compared with the classical Bouc-Wen model. Finally, the performance of the five proposed models in modelling hysteresis nonlinearity of piezoelectric drivers is compared, in terms of RMSE, MAPE, SAPE and operation efficiency, and relevant suggestions are given.

Keywords

Acknowledgement

This research is supported by the National Natural Science Foundation of China (No. U23A20618, No. 52075273) and Ningbo Science and Technology Innovation 2025 Major Project (No.2020Z070).

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