Fractional-Order Modeling of Piezoelectric Actuators with Coupled Hysteresis and Creep Effects

Author:

Xu Yifan1,Luo Ying2ORCID,Luo Xin1ORCID,Chen Yangquan3ORCID,Liu Wei2ORCID

Affiliation:

1. School of Mechanical Science and Engineering, Huazhong University of Science and Technology, Wuhan 430074, China

2. School of Automation Science and Engineering, South China University of Technology, Guangzhou 510641, China

3. School of Engineering, University of California, Merced, 5200 North Lake Rd, Merced, CA 95343, USA

Abstract

A novel fractional-order model, incorporating coupled hysteresis and creep effects, is proposed for typical piezoelectric actuators in this study. Throughout the actuation process, various nonlinear behaviors such as piezoelectric hysteresis, non-local memory, peak transition, and creep nonlinearity are accurately characterized by the model. Offering a simpler structure and superior tracking performance compared to conventional models, the proposed fractional-order model parameters are identified using a method that integrates actuator dynamics and employs the particle swarm optimization algorithm. Experimental validation on a piezoelectric actuation platform confirms the model’s superior accuracy and simplified structure, contributing to a deeper understanding of piezoelectric actuation mechanisms and providing an efficient modeling tool for enhanced system performance.

Funder

National Natural Science Foundation of China

Publisher

MDPI AG

Subject

Statistics and Probability,Statistical and Nonlinear Physics,Analysis

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