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Smart Structures and Systems
  Volume 33, Number 2, February 2024 , pages 133-143
DOI: https://doi.org/10.12989/sss.2024.33.2.133
 


Study of nonlinear hysteretic modelling and performance evaluation for piezoelectric actuators based on activation functions
Xingyang Xie, Yuguo Cui and Yang Yu

 
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.
 
Key Words
    activation function; hysteresis modelling; particle swarm optimization (PSO) algorithm; piezoelectric actuators
 
Address
(1) Xingyang Xie, Yuguo Cui:
Faculty of Mechanical Engineering & Mechanics, Ningbo University, Ningbo, Zhejiang, China;
(2) Xingyang Xie:
Taizhou Customs Comprehensive Technical Service Center, Taizhou, Zhejiang, China;
(3) Yang Yu:
Centre for Infrastructure Engineering and Safety, School of Civil and Environmental Engineering, The University of New South Wales, Sydney, NSW 2052, Australia.
 

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