Title
Discrete-time rate-dependent hysteresis modeling and parameter identification of piezoelectric actuators
Abstract
A discrete-time-modified Bouc-Wen model is proposed to describe the non-symmetrical and rate-dependent hysteresis of piezoelectric actuators for micro-vibration control applications. The modified model combines a non-symmetrical Bouc-Wen model and a frequency-dependent dynamic module. A series of experiments are conducted to characterize the rate-dependent hysteresis of piezoelectric stack actuators under sinusoidal excitations at a range of 1 to 20 Hz. The experimental results verify the validity of the modified model. The modified Bouc-Wen model increases the complexity of Bouc-Wen hysteresis nonlinear differential equation, which brings difficulties to parameter identification. To identify the parameters of Bouc-Wen model, an improved hybrid differential evolution and Jaya (DE-Jaya) algorithm is introduced with a hybrid mutant operator and Jaya operator that tried to balance between convergence speed and solution accuracy. The improved algorithm is tested on benchmark functions and compared with other optimizations to prove its effectiveness. The comparison results show that hybrid DE-Jaya algorithm has better performance in convergence speed and solution accuracy. The identified discrete-time-modified Bouc-Wen model is used as the secondary path in a filtered-x variable step-size affine projection algorithm (FXVSSAPA), and experimental verifications are done on a micro-vibration control platform. The experimental results show that the FXVSSAPA algorithm can converge to the steady-state error faster and verify the effectiveness of the proposed discrete-time-modified Bouc-Wen model.
Year
DOI
Venue
2022
10.1177/01423312211069364
TRANSACTIONS OF THE INSTITUTE OF MEASUREMENT AND CONTROL
Keywords
DocType
Volume
System identification, hysteresis modeling, parameter identification, piezoelectric actuator, vibration control
Journal
44
Issue
ISSN
Citations 
10
0142-3312
0
PageRank 
References 
Authors
0.34
0
4
Name
Order
Citations
PageRank
Muyao Shao100.34
Yiru Wang200.34
Zhiyuan Gao300.34
Xiaojin Zhu43586222.74