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A systematic identification approach for biaxial piezoelectric stage with coupled Duhem-type hysteresis

Qun Chen (School of Information Engineering, Henan University of Science and Technology, Luoyang, China and College of Physics and Electronic Information, Luoyang Normal University, Luoyang, China)
Zong-Xiao Yang (School of Information Engineering, Henan University of Science and Technology, Luoyang, China and Institute of Systems Science and Engineering, Henan University of Science and Technology, Luoyang, China)
Zhumu Fu (School of Information Engineering, Henan University of Science and Technology, Luoyang, China)

COMPEL - The international journal for computation and mathematics in electrical and electronic engineering

ISSN: 0332-1649

Article publication date: 9 April 2021

Issue publication date: 20 August 2021

195

Abstract

Purpose

The problem of parameter identification for biaxial piezoelectric stages is still a challenging task because of the existing hysteresis, dynamics and cross-axis coupling. This study aims to find an accurate and systematic approach to tackle this problem.

Design/methodology/approach

First, a dual-input and dual-output (DIDO) model with Duhem-type hysteresis is proposed to depict the dynamic behavior of the biaxial piezoelectric stage. Then, a systematic identification approach based on a modified differential evolution (DE) algorithm is proposed to identify the unknown parameters of the Duhem-type DIDO model for a biaxial piezostage. The randomness and parallelism of the modified DE algorithm guarantee its high efficiency.

Findings

The experimental results show that the characteristics of the biaxial piezoelectric stage can be identified with adequate accuracy based on the input–output data, and the peak-valley errors account for 2.8% of the full range in the X direction and 1.5% in the Y direction. The attained results validated the correctness and effectiveness of the presented identification method.

Originality/value

The classical DE algorithm has many adjustment parameters, which increases the inconvenience and difficulty of using in practice. The parameter identification of Duhem-type DIDO piezoelectric model is rarely studied in detail and its successful application based on DE algorithm on a biaxial piezostage is hitherto unexplored. To close this gap, this work proposed a modified DE-based systematic identification approach. It not only can identify this complicated model with more parameters, but also has little tuning parameters and thus is easy to use.

Keywords

Citation

Chen, Q., Yang, Z.-X. and Fu, Z. (2021), "A systematic identification approach for biaxial piezoelectric stage with coupled Duhem-type hysteresis", COMPEL - The international journal for computation and mathematics in electrical and electronic engineering, Vol. 40 No. 3, pp. 358-372. https://doi.org/10.1108/COMPEL-06-2020-0219

Publisher

:

Emerald Publishing Limited

Copyright © 2021, Emerald Publishing Limited

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