A comparison of fitness functions for the identification of a piezoelectric hysteretic actuator based on the real-coded genetic algorithm

Ha, Jih-Lian; Kung, Ying‐Shieh; Fung, Rong‐Fong; Hsien, Shao-Chien

doi:10.1016/j.sna.2006.02.022

Cited by 86 publications

(47 citation statements)

References 7 publications

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“…In [120] a genetic based identification algorithm is proposed. The reproduction procedure adopts the roulette wheel selection and the method of crossover and uniform mutation [3,125].…”

Section: Genetic Algorithm Based Identificationmentioning

confidence: 99%

The Hysteresis Bouc-Wen Model, a Survey

Ismail¹,

Ikhouane²,

Rodellar³

2009

Arch Computat Methods Eng

651

314

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Structural systems often show nonlinear behavior under severe excitations generated by natural hazards. In that condition, the restoring force becomes highly nonlinear showing significant hysteresis. The hereditary nature of this nonlinear restoring force indicates that the force cannot be described as a function of the instantaneous displacement and velocity. Accordingly, many hysteretic restoring force models were developed to include the time dependent nature using a set of differential equations. This survey contains a review of the past, recent developments and implementations of the Bouc-Wen model which is used extensively in modeling the hysteresis phenomenon in the dynamically excited nonlinear structures.

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“…In [120] a genetic based identification algorithm is proposed. The reproduction procedure adopts the roulette wheel selection and the method of crossover and uniform mutation [3,125].…”

Section: Genetic Algorithm Based Identificationmentioning

confidence: 99%

The Hysteresis Bouc-Wen Model, a Survey

Ismail¹,

Ikhouane²,

Rodellar³

2009

Arch Computat Methods Eng

651

314

View full text Add to dashboard Cite

show abstract

“…3b shows the displacement vector plot with 30Â magnification; the middle stage is rotated and shifted due to the cross-coupling effect. Consider the cross-coupling effect between the X-and Y-axes, the general dynamic equations of XY PZT stage are described as [43].…”

Section: B Modeling Of the Xy Pzt Stage With Cross-axis Couplingmentioning

confidence: 99%

“…However, their experimental data are difficult to verify because the selected fitness function includes a term for differentiating acceleration. The solution proposed by Ha et al [43] is identify the hysteresis model parameters and the PA simultaneously according to three fitness functions; however, feed-forward control was not proposed and discussed. Jang et al [44] discussed a piezoelectric actuator-driven system with asymmetric hysteresis and established a feed-forward controller based on the proposed asymmetric hysteresis model.…”

Section: Introductionmentioning

confidence: 99%

Particle swarm optimization based feedforward controller for a XY PZT positioning stage

Lin

2012

Mechatronics

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“…Phenomenological models are formed based on pure mathematical basis. Phenomenological approaches for hysteresis modeling have also been developed extensively [2][3][4][5][6][7][8][9], such as Preisach operator [2,3], KP hysteron model [4,5], the Bouc-Wen model and the Prandtl-Ishlinskii operator [7][8][9]. Although the models provide a purely mathematical tool for modeling complex hysteresis loops, it does not provide a physical insight into the phenomenon.…”

Section: Introductionmentioning

confidence: 99%

A hysteresis model based on ellipse polar coordinate and microscopic polarization theory

Chen

2012

J Electroceram

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In this paper, the underlying anhysteretic polarization is derived based on Boltzmann statictics and Langevin model. The remnant polarization and the irreversible polarization are analyzed. A thermodynamic description of ferroelectric phenomena is proposed to address the coupling relationship between electrical field and mechanical field by considering the series expansion of the elastic Gibbs energy function. A simple linear mapping hysteresis model based on theory of microscopic polarization and ellipse polar coordinate is derived. In order to evaluate the effectiveness of the proposed model, a nano-positioning stage driven by the PZT in open-loop operation is used to test. The experimental results show that the proposed hysteresis model could precisely describe hysteresis phenomena. The model max relative error of full span range is about 0.5 %. The proposed model simplifies the identification procedure of its inverse model. It is experimentally demonstrated that the tracking precision is significantly improved.

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A comparison of fitness functions for the identification of a piezoelectric hysteretic actuator based on the real-coded genetic algorithm

Cited by 86 publications

References 7 publications

The Hysteresis Bouc-Wen Model, a Survey

The Hysteresis Bouc-Wen Model, a Survey

Particle swarm optimization based feedforward controller for a XY PZT positioning stage

A hysteresis model based on ellipse polar coordinate and microscopic polarization theory

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