Compensation of play operator-based Prandtl-Ishlinskii hysteresis model using a stop operator with application to piezoelectric actuators

2012 ◽  
Vol 4 (1) ◽  
pp. 25 ◽  
Author(s):  
Zhi Li ◽  
Omar Aljanaideh ◽  
Subhash Rakheja ◽  
Chun Yi Su ◽  
Mohammad Al Janaideh
Keyword(s):  
Piezoelectric Actuators ◽  
Hysteresis Model ◽  
Stop Operator ◽  
Play Operator

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 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

An Experimental Research on Generalized Prandtl-Ishlinskii Model for Modeling Asymmetric Hysteresis of a Piezoceramic Actuator

2015 ◽  
Vol 723 ◽  
pp. 793-798
Author(s):  
Shi Peng Feng ◽  
Dong Xu Li
Keyword(s):  
Input Voltage ◽  
Gain Factor ◽  
Preisach Model ◽  
Hysteresis Model ◽  
Exponential Functions ◽  
Modified Model ◽  
Piezoceramic Actuator ◽  
Hysteresis Nonlinearity ◽  
Play Operator ◽  
The Given

A piezoceramic actuator is widely employed in micropositioning and MEMS. However, the piezoceramic actuators are limited due to the natural hysteresis nonlinearity which affect the accuracy of the actuators in applications. In order to revise the hysteresis nonlinearity, lots of hysteresis models have been proposed such as the Preisach model, the classical Prandtl—Ishlinskii model and so on. While some drawbacks still exist with these models, a generalized hysteresis model for asymmetric hysteresis basing on the classical Prandtl—Ishlinskii model is devised. In the modified model, the exponential functions which contain the amplitude and the frequency of the input voltage and its gain factor are introduced into the NLPO (nonlinearity play operator). As a result, the generalized model in this paper applies to modeling asymmetric hysteresis. This model was identified and simulated using the experimental data by other researchers. At last, the validity and the accuracy of the given model were tested through the experiment of the piezoceramic control.

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

Modeling, identification and compensation of hysteresis nonlinearity for a piezoelectric nano-manipulator

2016 ◽  
Vol 28 (7) ◽  
pp. 907-922 ◽  
Author(s):  
Yangming Zhang ◽  
Peng Yan
Keyword(s):  
Input Function ◽  
Rate Function ◽  
Hysteresis Model ◽  
Tracking Accuracy ◽  
Hysteresis Compensation ◽  
Rate Dependent ◽  
Hysteresis Nonlinearity ◽  
Tracking Motion ◽  
Play Operator ◽  
Compensation Approach

Hysteresis nonlinearity widely exists in piezoelectric actuated nano-positioning applications, which degrades their tracking accuracy and limits their precision positioning applications. This paper presents a novel hysteresis modeling and compensation approach to alleviate the adverse effect of the asymmetric and rate-dependent hysteresis nonlinearity for a piezoelectric transducer actuated servo stage. By integrating a generalized input function with the play operator of the classical Prandtl–Ishlinskii model, a novel polynomial-based rate-dependent Prandtl–Ishlinskii (PRPI) model is proposed to capture the hysteresis behavior of the piezoelectric positioning stage, where a polynomial function of input and a time rate function of input are introduced to formulate the generalized input function. Meanwhile, a new adaptive differential evolution optimization algorithm is developed to identify the parameters of the proposed PRPI hysteresis model. Based on the PRPI hysteresis model with the identified parameters, an inverse feedforward controller is constructed to achieve the accurate tracking motion. Furthermore, the hysteresis compensation error of the proposed PRPI model is theoretically analyzed. Finally, comparative experiments are conducted, and the experimental results provided in this paper demonstrate the effectiveness and superiority of the proposed inverse PRPI model compensation approach.

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