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

Gan, Jinqiang; Zhang, Xianmin

doi:10.3390/mi10030183

Cited by 36 publications

(24 citation statements)

References 24 publications

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“…Because of only computing one auxiliary non-linear differential equation, this model of the piezoelectric actuator has the advantage of computational simplicity [2]. Jinqiang Gan proposed a generalized Bouc-Wen hysteresis model by applying relaxation functions to describe rate-dependent and rate-independent hysteresis behaviors of piezoelectric actuator [3]. A modified Bouc-Wen model, identified by the particle swarm optimization (PSO) method, is employed to estimate the hysteresis of the piezo-actuated stage [4].…”

Section: Introductionmentioning

confidence: 99%

A Compound Control Based on the Piezo-Actuated Stage with Bouc–Wen Model

Fang

Jia

et al. 2019

Micromachines

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The piezoelectric actuator (PA) is one of the most commonly used actuators in a micro-positioning stage. But its hysteresis non-linearity can cause error in the piezo-actuated stage. A modified Bouc–Wen model is presented in this paper to describe the hysteresis non-linearity of the piezo-actuated stage. This model can be divided into two categories according to the input frequency: rate-independent type and rate-dependent type. A particle swarm optimization method (PSO) is employed to identify these parameters of the Bouc–Wen hysteresis model. An inverse model feedforward compensator is established based on the modified Bouc–Wen model. The fuzzy proportional-integral-derivative (PID) controller combined with the feedforward compensator is implemented to the piezo-actuated stage. The experimental results indicate that the proposed control strategy can compensate for the hysteresis phenomenon.

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Section: Introductionmentioning

confidence: 99%

A Compound Control Based on the Piezo-Actuated Stage with Bouc–Wen Model

Fang

Jia

et al. 2019

Micromachines

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“…Therefore, for the purpose of designing a proper controller, the rate-dependent characteristic of the piezoelectric hysteresis must be modeled accurately. A modified Bouc-wen model that can capture the rate-dependent behavior of the hysteresis can be described as: 13 y where, u(t) is the excited signal of the stage, y(t) is the corresponding displacement of the piezoelectric material of the actuator, and h(t) is the hysteresis. The identified hysteresis was then compared with measured data for different input frequencies (f = 60 Hz and 80 Hz).…”

Section: Modeling Linear Dynamics and Nonlinear Hysteresis Of The Piezoelectric Fsmmentioning

confidence: 99%

Modeling of piezoelectric actuator's hysteresis and its effect on the control accuracy of a LEO-to-GEO laser-communication for a small satellite

Xuan

Suzumoto

Carrasco‐Casado

et al. 2021

International Conference on Space Optics — ICSO 2020

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Compared to conventional large satellites in the past, small satellite classes (less than 150 kg) show their advantages for mass production, such as short time and low cost for development and launch, to cope with the demand for emerging missions that require a sufficient number of satellites in orbit. However, the traditional communication method, in which a low earth orbit (LEO) small satellite sends data to a ground station using radio frequency, has several disadvantages. Firstly, the limitation of radio-frequency bandwidth leads to a low data rate and difficulty in getting a frequency license. Secondly, there is a significant delay during which data cannot be sent to the ground due to lacking a line of sight between the LEO satellite and the ground station. Additionally, the duration time for the small satellite to communicate with the ground station is just less than 10 minutes approximately. To resolve the above issues, we investigate the case that a less-than-150-kg satellite carries out a laser communication link from LEO to a satellite in geostationary orbit (GEO). Due to the constraints of size, weight, and power (SWaP), traditional bulky LEO-GEO relay systems cannot be applied for the small satellite. However, using the combination of the satellite body pointing and a piezo Fast-Steering Mirror (FSM), which reduces the SWaP considerably, makes it feasible that the LEO-to-GEO communication can be implemented in a small satellite for the first time. While utilizing laser communication can increase the data rate, the relay communication via the GEO satellite helps the small satellite to extend the communication duration significantly. Moreover, since there is a line of sight between the two terminals in any of about 15 orbits per day of the LEO satellite, data taken by the small satellite can be downloaded to the ground via the GEO one in almost real time. This research aims at investigating and proving the feasibility of a small satellite to transmit a laser communication link to its GEO counterpart. In this paper, we describe the LEO-to-GEO laser communication of the small satellite with a study of pointing-budget and link-budget analysis. Furthermore, a hardware-based simulation of the fine control mechanism is conducted. The hysteresis that affects severely to the piezo mechanism, and hence, the final control accuracy, is modeled accurately and its effect is shown.

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“…Over the past decade, several methods for parameters identification of models [19,24,32] have been developed, but their identification processes are generally complex. In our previous work [15,33], the nonlinear least squares method is proposed to identify Bouc–Wen model. The nonlinear least squares method adopts the trust-region-reflective algorithm and take the nonlinear least squares function for optimization through the MATLAB/Simulink Optimization Toolbox.…”

Section: Modified Duhem Model (Mdm)mentioning

confidence: 99%

A Modified Duhem Model for Rate-Dependent Hysteresis Behaviors

et al. 2019

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Hysteresis behaviors are inherent characteristics of piezoelectric ceramic actuators. The classical Duhem model (CDM) as a popular hysteresis model has been widely used, but cannot precisely describe rate-dependent hysteresis behaviors at high-frequency and high-amplitude excitations. To describe such behaviors more precisely, this paper presents a modified Duhem model (MDM) by introducing trigonometric functions based on the analysis of the existing experimental data. The MDM parameters are also identified by using the nonlinear least squares method. Six groups of experiments with different frequencies or amplitudes are conducted to evaluate the MDM performance. The research results demonstrate that the MDM can more precisely characterize the rate-dependent hysteresis behaviors comparing with the CDM at high-frequency and high-amplitude excitations.

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

Cited by 36 publications

References 24 publications

A Compound Control Based on the Piezo-Actuated Stage with Bouc–Wen Model

A Compound Control Based on the Piezo-Actuated Stage with Bouc–Wen Model

Modeling of piezoelectric actuator's hysteresis and its effect on the control accuracy of a LEO-to-GEO laser-communication for a small satellite

A Modified Duhem Model for Rate-Dependent Hysteresis Behaviors

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