A fitness function for parameters identification of Bouc-Wen hysteresis model for piezoelectric actuators

2018 ◽  
Author(s):  
Ashraf Saleem ◽  
Serein Al-Ratrout ◽  
Mostefa Mesbah
Keyword(s):  
Fitness Function ◽  
Piezoelectric Actuators ◽  
Parameters Identification ◽  
Hysteresis Model

scholarly journals Tracking control of piezoelectric actuators using a polynomial-based hysteresis model

AIP Advances ◽  
2016 ◽  
Vol 6 (6) ◽  
pp. 065204 ◽  
Author(s):  
Jinqiang Gan ◽  
Xianmin Zhang ◽  
Heng Wu
Keyword(s):  
Tracking Control ◽  
Piezoelectric Actuators ◽  
Hysteresis Model

A neural-network-based hysteresis model for piezoelectric actuators

2020 ◽  
Vol 91 (1) ◽  
pp. 015002
Author(s):  
Lianwei Ma ◽  
Yu Shen ◽  
Jinrong Li
Keyword(s):  
Neural Network ◽  
Piezoelectric Actuators ◽  
Hysteresis Model

scholarly journals Transient and Harmonic Unipolar Hysteresis Model of Piezoelectric Actuators Using a System-Level Approach

2020 ◽  
Vol 10 (20) ◽  
pp. 7268
Author(s):  
Mickaël Lallart ◽  
Kui Li ◽  
Zhichun Yang ◽  
Shengxi Zhou
Keyword(s):  
System Dynamics ◽  
Dynamic Behavior ◽  
Transfer Functions ◽  
Piezoelectric Actuators ◽  
Good Choice ◽  
Fine Tuning ◽  
System Level ◽  
Driving Voltage ◽  
Hysteresis Model ◽  
Frequency Dependent

Thanks to their integrability and good electromechanical conversion abilities, piezoelectric actuators are a good choice for many actuation applications. However, these elements feature a frequency-dependent hysteresis response that may yield complex control implementation. The purpose of this paper is to provide the extension of a simple hysteresis model based on a system-level approach linking the strain derivative to the driving voltage derivative and taking into account the dynamic behavior of the hysteretic response of the actuator. The proposed enhancement consists of transient and harmonic regimes, allowing to extend the quasi-static model to dynamic behavior with any frequency. In particular, initial strain shift arising from stabilization and accommodation effects as well as frequency-dependent hysteresis shape are considered. The inclusion of the system dynamics in the model is obtained thanks to fractional derivatives and associated fractional transfer functions, allowing the consideration of the full actuator history as well as a fine tuning of the system dynamics over a wide frequency band. Finally, a numerical example of linearized control through compensation loop is provided, demonstrating the interest in the proposed approach for providing a computationally-efficient, simple yet efficient way for finely predicting the actuator response and thus designing appropriate controllers.

scholarly journals Modeling and Compensation for Asymmetrical and Dynamic Hysteresis of Piezoelectric Actuators Using a Dynamic Delay Prandtl–Ishlinskii Model

Micromachines ◽  
2021 ◽  
Vol 12 (1) ◽  
pp. 92
Author(s):  
Wen Wang ◽  
Fuming Han ◽  
Zhanfeng Chen ◽  
Ruijin Wang ◽  
Chuanyong Wang ◽  
...  
Keyword(s):  
High Frequency ◽  
Piezoelectric Actuators ◽  
Superior Performance ◽  
Precision Machining ◽  
Nonlinear Phenomena ◽  
Input Frequency ◽  
Hysteresis Model ◽  
Inverse Dynamic ◽  
Dynamic Hysteresis ◽  
Play Operator

Piezoelectric actuators are widely used in micro- and nano-manufacturing and precision machining due to their superior performance. However, there are complex hysteresis nonlinear phenomena in piezoelectric actuators. In particular, the inherent hysteresis can be affected by the input frequency, and it sometimes exhibits asymmetrical characteristic. The existing dynamic hysteresis model is inaccurate in describing hysteresis of piezoelectric actuators at high frequency. In this paper, a Dynamic Delay Prandtl–Ishlinskii (DDPI) model is proposed to describe the asymmetrical and dynamic characteristics of piezoelectric actuators. First, the shape of the Delay Play operator is discussed under two delay coefficients. Then, the accuracy of the DDPI model is verified by experiments. Next, to compensate the asymmetrical and dynamic hysteresis, the compensator is designed based on the Inverse Dynamic Delay Prandtl–Ishlinskii (IDDPI) model. The effectiveness of the inverse compensator was verified by experiments. The results show that the DDPI model can accurately describe the asymmetrical and dynamic hysteresis, and the compensator can effectively suppress the hysteresis of the piezoelectric actuator. This research will be beneficial to extend the application of piezoelectric actuators.

scholarly journals A Digitized Representation of the Modified Prandtl–Ishlinskii Hysteresis Model for Modeling and Compensating Piezoelectric Actuator Hysteresis

Micromachines ◽  
2021 ◽  
Vol 12 (8) ◽  
pp. 942
Author(s):  
Chao Zhou ◽  
Chen Feng ◽  
Yan Naing Aye ◽  
Wei Tech Ang
Keyword(s):  
Dead Zone ◽  
Piezoelectric Actuators ◽  
Binary Number ◽  
Hysteresis Model ◽  
Miniature Robots ◽  
Elementary Operators ◽  
The Dead ◽  
High Repeatability ◽  
Hysteresis Behaviour ◽  
Inversion Calculation

Piezoelectric actuators are widely used in micromanipulation and miniature robots due to their rapid response and high repeatability. The piezoelectric actuators often have undesired hysteresis. The Prandtl–Ishlinskii (PI) hysteresis model is one of the most popular models for modeling and compensating the hysteresis behaviour. This paper presents an alternative digitized representation of the modified Prandtl–Ishlinskii with the dead-zone operators (MPI) hysteresis model to describe the asymmetric hysteresis behavior of piezoelectric actuators. Using a binary number with n digits to represent the classical Prandtl–Ishlinskii hysteresis model with n elementary operators, the inverse model can be easily constructed. A similar representation of the dead-zone operators is also described. With the proposed digitized representation, the model is more intuitive and the inversion calculation is avoided. An experiment with a piezoelectric stacked linear actuator is conducted to validate the proposed digitized MPI hysteresis model and it is shown that it has almost the same performance as compared to the classical representation.

Elman neural network–based identification of rate-dependent hysteresis in piezoelectric actuators

2020 ◽  
Vol 31 (7) ◽  
pp. 980-989
Author(s):  
Xinlong Zhao ◽  
Shuai Shen ◽  
Liangcai Su ◽  
Xiuxing Yin
Keyword(s):  
Neural Network ◽  
Dynamic Model ◽  
Dynamic Property ◽  
System Performance ◽  
Piezoelectric Actuators ◽  
Hysteresis Model ◽  
Elman Neural Network ◽  
Rate Dependent ◽  
Nanoscale System ◽  
Hysteresis Nonlinearity

Rate-dependent hysteresis nonlinearity in piezoelectric actuators severely limits micro- and nanoscale system performance. It is necessary to establish a dynamic model to describe the full behavior of rate-dependent hysteresis. In this article, the Elman neural network–based hysteresis model is developed for piezoelectric actuators. An improved dynamic hysteretic operator is proposed to transform the multi-valued mapping of hysteresis into one-to-one mapping on a newly constructed expanded input space. Then, Elman neural network incorporated with the improved dynamic hysteretic operator is utilized to approximate the behavior of rate-dependent hysteresis. The combination of Elman neural network and the improved dynamic hysteretic operator can dually embody the dynamic property and is capable of fully extracting the characteristics of rate-dependent hysteresis. The experimental results are presented to illustrate the potential of the proposed modeling technique.

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