Asymmetrically Dynamic Coupling Hysteresis in Piezoelectric Actuators: Modeling Identification and Experimental Assessments

2019 ◽  
Vol 11 (05) ◽  
pp. 1950051 ◽  
Author(s):  
Zijian Zhang ◽  
Yangyang Dong
Keyword(s):  
Piezoelectric Actuators ◽  
Dynamic Coupling ◽  
Threshold Functions ◽  
Saturation Nonlinearity ◽  
Dynamic Excitation ◽  
Rate Dependent ◽  
Hysteresis Nonlinearity ◽  
Play Operator ◽  
External Loads ◽  
Envelope Functions

An asymmetrically dynamic coupling hysteresis (ADCH) model is proposed as an extension of the Prandtl–Ishlinskii (PI) model to characterize the hysteretic nonlinearities in piezoelectric actuators (PEAs). When subject to two-input: dynamic excitation and external loads. In this model, the developed asymmetrically one-side play operator helps to represent the saturation, nonlinearity, and centrally asymmetric properties of PEAs employed inverse hyperbolic envelope functions. The dynamic threshold functions are put in place to characterize the width of rate-dependent hysteresis property. Introductions of continuously coupled density functions are beneficial to the cross-coupled hysteresis behaviors of external load/excitation voltage-to-expansion. Besides, the proposed ADCH model is verified to satisfy indeed the wiping-out property and equal vertical chords property, which means that it can be regarded as well-suited in modeling the complicated hysteresis nonlinearity of PEAs. Furthermore, this paper also tackles the identification issue of the proposed ADCH model by using a global research method, which possesses satisfactory accuracy without strict requirements for the initially iterative value.

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.

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.

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.

Modeling Rate-Dependent Hysteresis for GMA Using Online Least Squares Support Vector Machines

2011 ◽  
Vol 48-49 ◽  
pp. 710-714
Author(s):  
Zhen Kai Guo ◽  
Zhao Qing Song ◽  
Xin Jiang Wei
Keyword(s):  
Support Vector Machines ◽  
Least Squares ◽  
Active Vibration Control ◽  
Support Vector ◽  
Nonlinear Phenomenon ◽  
Rate Dependent ◽  
Hysteresis Nonlinearity ◽  
Vector Machines ◽  
Active Vibration ◽  
And Control

Rate-dependent hysteresis is a strongly nonlinear phenomenon which exists in the giant magnetostrictive actuator (GMA); it has influence in the precision and stability of active vibration control. It is highly important in the control theory and control engineering that the influence of hysteresis is eliminated by the modeling of rate-dependent hysteresis for GMA. So an online intelligent modeling method, which is based on an improved online least squares support vector machines (IOLS-SVM), is presented for identifying rate-dependent hysteresis nonlinearity for GMA, and is used to online real-time training. The data measured in the experiment are used for modeling. The numerical simulation shows the effectiveness of the method.

Operator-based experimental studies on nonlinear vibration control for an aircraft vertical tail with considering low-order modes

2016 ◽  
Vol 38 (12) ◽  
pp. 1421-1433 ◽  
Author(s):  
Yuta Katsurayama ◽  
Mingcong Deng ◽  
Changan Jiang
Keyword(s):  
Vibration Control ◽  
Experimental Studies ◽  
Control Design ◽  
Piezoelectric Actuators ◽  
Nonlinear Feedback ◽  
Coprime Factorization ◽  
Hysteresis Nonlinearity ◽  
Control Scheme ◽  
Piezoelectric Elements ◽  
Low Order

In this paper, a robust nonlinear control design using an operator-based robust right coprime factorization approach is considered for vibration control on an aircraft vertical tail with piezoelectric elements. First, a model of the aircraft vertical tail is derived to describe vibration response using the operator-based approach, where, to stabilize vibration of the tail, piezoelectric elements are used as actuators and a hysteresis nonlinear property of piezoelectric actuators is considered. Simultaneously, positions of the piezoelectric actuators that are stuck on the plate are arranged by using a finite element method. Then based on the obtained operator-based model, a robust nonlinear feedback control design is given by using robust right coprime factorization for the aircraft vertical tail with considering the effect of hysteresis nonlinearity from piezoelectric actuators. In particular, low-order modes are employed to design the control scheme even though vibration is configured by high-order modes. In other words, robustness is considered, and the desired performance of tracking is discussed. Finally, both simulation and experimental results are shown to verify the effectiveness of the proposed control scheme.

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