Adaptive compound control based on generalized Bouc–Wen inverse hysteresis modeling in piezoelectric actuators

2021 ◽  
Vol 92 (11) ◽  
pp. 115004
Author(s):  
Quan Zhang ◽  
Yuanpeng Gao ◽  
Qingling Li ◽  
Dayi Yin
Keyword(s):  
Piezoelectric Actuators ◽  
Compound Control ◽  
Hysteresis Modeling ◽  
Inverse Hysteresis

scholarly journals Hysteresis Modeling and Compensation of Fast Steering Mirrors with Hysteresis Operator Based Back Propagation Neural Networks

Micromachines ◽  
2021 ◽  
Vol 12 (7) ◽  
pp. 732
Author(s):  
Kairui Cao ◽  
Guanglu Hao ◽  
Qingfeng Liu ◽  
Liying Tan ◽  
Jing Ma
Keyword(s):  
Neural Network ◽  
Back Propagation ◽  
Hysteresis Model ◽  
Cooperative Movement ◽  
Hysteresis Operator ◽  
The Neural Network ◽  
Hysteresis Nonlinearity ◽  
Hysteresis Modeling ◽  
Hysteresis Characteristics ◽  
Inverse Hysteresis

Fast steering mirrors (FSMs), driven by piezoelectric ceramics, are usually used as actuators for high-precision beam control. A FSM generally contains four ceramics that are distributed in a crisscross pattern. The cooperative movement of the two ceramics along one radial direction generates the deflection of the FSM in the same orientation. Unlike the hysteresis nonlinearity of a single piezoelectric ceramic, which is symmetric or asymmetric, the FSM exhibits complex hysteresis characteristics. In this paper, a systematic way of modeling the hysteresis nonlinearity of FSMs is proposed using a Madelung’s rules based symmetric hysteresis operator with a cascaded neural network. The hysteresis operator provides a basic hysteresis motion for the FSM. The neural network modifies the basic hysteresis motion to accurately describe the hysteresis nonlinearity of FSMs. The wiping-out and congruency properties of the proposed method are also analyzed. Moreover, the inverse hysteresis model is constructed to reduce the hysteresis nonlinearity of FSMs. The effectiveness of the presented model is validated by experimental results.

scholarly journals Position control of a bio-inspired semi-active joint with direct inverse hysteresis modeling and compensation

2016 ◽  
Vol 8 (11) ◽  
pp. 168781401667722 ◽  
Author(s):  
Yixiang Liu ◽  
Xizhe Zang ◽  
Zhenkun Lin ◽  
Wenyuan Li ◽  
Jie Zhao
Keyword(s):  
Position Control ◽  
Active Joint ◽  
Hysteresis Modeling ◽  
Inverse Hysteresis

A new hysteresis modeling and optimization for piezoelectric actuators based on asymmetric Prandtl-Ishlinskii model

2020 ◽  
Vol 316 ◽  
pp. 112431
Author(s):  
Wen Wang ◽  
Ruijin Wang ◽  
Zhanfeng Chen ◽  
Zhiqian Sang ◽  
Keqing Lu ◽  
...  
Keyword(s):  
Piezoelectric Actuators ◽  
Modeling And Optimization ◽  
Hysteresis Modeling

scholarly journals Nonlinear Hysteresis Modeling of Piezoelectric Actuators Using a Generalized Bouc–Wen Model

Micromachines ◽  
2019 ◽  
Vol 10 (3) ◽  
pp. 183 ◽  
Author(s):  
Jinqiang Gan ◽  
Xianmin Zhang
Keyword(s):  
Least Squares Method ◽  
Compliant Mechanism ◽  
Nonlinear Least Squares ◽  
Piezoelectric Actuators ◽  
Positioning Accuracy ◽  
Rate Dependent ◽  
Nonlinear Hysteresis ◽  
Relaxation Functions ◽  
Hysteresis Modeling ◽  
Nonlinear Least Squares Method

Hysteresis behaviors exist in piezoelectric ceramics actuators (PCAs), which degrade the positioning accuracy badly. The classical Bouc–Wen (CB–W) model is mainly used for describing rate-independent hysteresis behaviors. However, it cannot characterize the rate-dependent hysteresis precisely. In this paper, a generalized Bouc–Wen (GB–W) model with relaxation functions is developed for both rate-independent and rate-dependent hysteresis behaviors of piezoelectric actuators. Meanwhile, the nonlinear least squares method through MATLAB/Simulink is adopted to identify the parameters of hysteresis models. To demonstrate the validity of the developed model, a number of experiments based on a 1-DOF compliant mechanism were conducted to characterize hysteresis behaviors. Comparisons of experiments and simulations show that the developed model can describe rate-dependent and rate-independent hysteresis more accurately than the classical Bouc–Wen model. The results demonstrate that the developed model is effective and useful.

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