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Article type: Research Article
Authors: Gan, Jinqiang | Zhang, Xianmin*
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: [*] 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:[email protected]
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
DOI: 10.3233/JAE-150070
Journal: International Journal of Applied Electromagnetics and Mechanics, vol. 49, no. 4, pp. 557-565, 2015
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