Affiliations: Guangdong Provincial Key Laboratory of Precision Equipment and Manufacturing Technology, School of Mechanical and Automotive Engineering, South China University of Technology, Guangzhou, Guangdong, China
Correspondence:
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Corresponding author: Xianmin Zhang, Guangdong Provincial Key Laboratory of Precision Equipment and Manufacturing Technology, School of Mechanical and Automotive Engineering, South China University of Technology, Guangzhou, Guangdong 510640, China. Tel.: +86 20 8711 0345; E-mail:zhangxm@scut.edu.cn
Abstract: Hysteresis behavior of piezoelectric actuators
considerably degrades the precision positioning system's performance. Many
hysteresis models are developed to describe rate-independent hysteresis,
while few models are presented to characterize rate-dependent hysteresis. In
this paper, a modified Prandtl-Ishlinskii model is developed to describe
rate-dependent hysteresis in piezoelectric actuators. The modified model
integrates input frequencies and quadratic polynomials. Meanwhile, the
parameters of the developed model are identified easily by the experimental
data using self-adaptive particle swarm optimization (SAPSO) and the least
square method (LSM) through MATLAB offline. Compared with other models, this
model simplifies the modeling of complicated rate-dependent hysteresis
behaviors. The validity of this developed model is demonstrated by comparing
simulation results with experimental data at different frequencies in the
range of 0.5-100 Hz.
Keywords: Piezoelectric actuators, rate-dependent hysteresis, Prandtl-Ishlinskii model
