A survey of Bouc-Wen hysteretic models applied to piezo-actuated mechanical systems: Modeling, identification, and control

Cai, Jingnan; Dong, Wei; Nagamune, Ryozo

doi:10.1177/1045389x231157361

Cited by 5 publications

(3 citation statements)

References 156 publications

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“…The Bouc-Wen model was proposed by Robert Bouc in 1967 to describe hysteretic nonlinear systems, and Yi-kwei Wen extended it in 1976 [93,98,135], thus establishing the classical Bouc-Wen model. The Bouc-Wen model can be regarded as a variant of the Duhem model [80].…”

Section: Model Introductionmentioning

confidence: 99%

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Review on the Nonlinear Modeling of Hysteresis in Piezoelectric Ceramic Actuators

Dai,

Li,

Wang

2023

Actuators

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Piezoelectric ceramic actuators have the advantages of fast response speed and high positioning accuracy and are widely used in micro-machinery, aerospace, precision machining machinery, and other precision positioning fields. However, hysteretic nonlinearity has a great influence on the positioning accuracy of piezoelectric ceramic actuators, so it is necessary to establish a hysteretic model to solve this problem. In this paper, the principles of the Preisach model, the Prandtl Ishilinskii (PI) model, the Maxwell model, the Duhem model, the Bouc–Wen model, and the Hammerstein model and their application and development in piezoelectric hysteresis modeling are described in detail. At the same time, the classical model, the asymmetric model and the rate-dependent model of these models are described in detail, and the application of the inverse model corresponding to these models in the feedforward compensation is explained in detail. At the end of the paper, the methods of inverse model acquisition and control frequency of these models are compared. In addition, the future research trend of the hysteresis model is also prospected. The ideas and suggestions highlighted in this paper will guide the development of piezoelectric hysteresis models.

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Section: Model Introductionmentioning

confidence: 99%

“…h(t) can be regarded as a differential equation transformed from the "dw/dt" transformation in the Duhem model [80]. α, β, γ and n determine the width and shape of the hysteresis curve, and these four parameters are introduced in detail using hysteresis curves in literature [91,96,98].…”

Section: Model Introductionmentioning

confidence: 99%

Review on the Nonlinear Modeling of Hysteresis in Piezoelectric Ceramic Actuators

Dai,

Li,

Wang

2023

Actuators

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“…This paper first introduces the MCMC algorithm which uses the MH method to sample and the SGHMC algorithm. Secondly, the SGHMC method was used to identify the parameters of the classical Lagrange dynamic modeling of a robot manipulator [1] and the CBW (the classical Bouc-Wen) model [31], [32], [33], the accuracy of the two models was compared, and the hysteresis model parameters were identified. Finally, the global sensitivity of the CBW model and hysteresis formula is analyzed.…”

Section: Introductionmentioning

confidence: 99%

Parameter Identification of Heavy-Duty Manipulator Using Stochastic Gradient Hamilton Monte Carlo Method

Wang

Song

et al. 2023

IEEE Access

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This study focuses on the parameter identification of a heavy-duty manipulator used in the remote maintenance of the China Fusion Engineering Test Reactor (CFETR). Accurate modeling of the manipulator's dynamics needs investigation of the effects of hysteresis, velocity, and other variables on output torque independently. For this reason, we estimate the undetermined model parameters using the Stochastic Gradient Hamiltonian Monte Carlo (SGHMC) method. In addition, a global sensitivity analysis is performed to assess the precision of the model's output and the relative significance of its input variables. Experiments are conducted to determine the output torque, hysteresis displacement and velocity of the CFETR's heavyduty manipulator. Our findings indicate that the SGHMC method significantly improves the efficacy of parameter identification while maintaining a high level of accuracy, resulting in a significant reduction of approximately 8% in the root mean square error (RMSE) of the output torque. In addition, the analysis of first-order and total-effect sensitivity indices reveals the influential parameters on the output torque. The sensitivity analysis offers valuable insights into the significance of parameters and system optimization. Considering hysteresis deformation, this study presents a method for modeling and parameter estimation of the output torque in a heavy-duty robotic arm. The developed method contributes to the solution of practical problems and provides the groundwork for future research on SGHMC and parameter estimation algorithms.INDEX TERMS Hysteresis, HMC method, parameter estimation.

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Hysteresis identification of joint with harmonic drive transmission based on Monte Carlo method

Wang,

Wu,

Handroos

et al. 2024

Mechatronics

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A survey of Bouc-Wen hysteretic models applied to piezo-actuated mechanical systems: Modeling, identification, and control

Cited by 5 publications

References 156 publications

Review on the Nonlinear Modeling of Hysteresis in Piezoelectric Ceramic Actuators

Review on the Nonlinear Modeling of Hysteresis in Piezoelectric Ceramic Actuators

Parameter Identification of Heavy-Duty Manipulator Using Stochastic Gradient Hamilton Monte Carlo Method

Hysteresis identification of joint with harmonic drive transmission based on Monte Carlo method

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