A Modified Prandtl-Ishlinskii Model for Rate-dependent Hysteresis Nonlinearity Using <i>m</i>th-power Velocity Damping Mechanism

Yang, Mei-Ju; Li, Chunxia; Gu, Guoying; Zhu, Limin

doi:10.5772/58984

Cited by 16 publications

(19 citation statements)

References 29 publications

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“…The fourth-order polynomial is used to describe the asymmetric behavior. In this work, the order number 4 was selected on the basis of a trial-and-error method, as is generally used in the literature [ 22 , 32 ]. It should be noted that further increasing the order of the polynomial (higher than 4) contributes a little improvement in accuracy but makes the computation costlier.…”

Section: Viscoelastic Hysteresis Modelmentioning

confidence: 99%

Modeling the Viscoelastic Hysteresis of Dielectric Elastomer Actuators with a Modified Rate-Dependent Prandtl–Ishlinskii Model

Zou

2018

Polymers

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Dielectric elastomer actuators (DEAs) are known as a type of electric-driven artificial muscle that have shown promising potential in the field of soft robotics. However, the inherent viscoelastic nonlinearity makes the modeling and control of DEAs challenging. In this paper, we propose a new phenomenological modeling approach with the Prandtl-Ishlinskii (P-I) model to characterize the viscoelastic hysteresis nonlinearity of DEAs. Differently from the commonly used physics-based models, the developed phenomenological model, called the modified rate-dependent P-I model (MRPIM), produces behavior similar to that of physics-based models but without necessarily considering physical insight into the modeling problem. In this way, the developed MRPIM can characterize the asymmetric and rate-dependent viscoelastic hysteresis with a relative simple mathematical format using only the experimental data. To validate the development, experimental tests were conducted with seven different frequencies; four were selected to identify the model parameters and the rest of the data were used to further verify the model. Comparisons between the model prediction and experimental data demonstrate that the MRPIM can precisely describe the viscoelastic hysteresis effect of DEAs with a maximum prediction error of 9.03% and root-mean-square prediction error of 4.50%.

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Section: Viscoelastic Hysteresis Modelmentioning

confidence: 99%

Modeling the Viscoelastic Hysteresis of Dielectric Elastomer Actuators with a Modified Rate-Dependent Prandtl–Ishlinskii Model

Zou

2018

Polymers

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“…The remaining error can be attributed to inaccuracies in the model, effect of unmodelled dynamics, such as friction, as well as small changes in influence quantities for both the actuator and measurement system between the time of modelling and the tests. Some of the error may also be due to rate-dependent hysteresis, as the classic Preisach model cannot be used to describe rate-dependant characteristics [ 44 ].…”

Section: Resultsmentioning

confidence: 99%

Hysteresis Compensation in a Tactile Device for Arterial Pulse Reproduction

Carneiro

Abreu

Restivo

2018

Sensors

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This paper describes a system for training healthcare practitioners in the identification of different arterial pulses. The driving system uses a linear solenoid in an open loop force control. Due to the large hysteresis it exhibited, a form of compensation was implemented, based on the classic Preisach model of hysteresis. Implementation of said model resulted in a significant reduction of force tracking error, demonstrating the feasibility of the chosen approach for the intended application.

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“…Operator-based hysteresis models in the phenomenological hysteresis models describe the nonlinearity by weighted superposition of elementary hysteresis operators with simple mathematical forms. The typical operator-based hysteresis models are the relay operator of the Preisach model [10,[19][20][21][22], the KP kernel of the Krasnoselskii-Pokrovskii model [7,23], and the play/stop operator of the Prandtl-Ishlinskii model [24][25][26][27][28]. The disadvantages of the operator-based hysteresis models are the characteristics of the model, including symmetry and saturation, depend on the elementary hysteresis operator.…”

Section: Introductionmentioning

confidence: 99%

Asymmetric Hysteresis Modeling Approach Featuring “Inertial System + Shape Function” for Magnetostrictive Actuators

Bai

Qian

2020

Materials

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Hysteresis of the actuators based on magnetostrictive materials influences the control performance of the application systems. It is of importance and significance to establish an effective hysteresis model for the magnetostrictive actuators for precision engineering. In this paper, based on the analysis of the Duhem model, a first-order inertial system with hysteresis characteristic under harmonic input is used to describe the hysteresis caused by the inertia of the magnetic domains of magnetostrictive materials. Shape function is employed to describe the pinning of domain walls, the interactions of different magnetic domains of magnetostrictive materials, and the saturation properties of the hysteresis. Specifically, under an architecture of “inertial system + shape function” (ISSF-Duhem model), firstly a new hysteresis model is proposed for magnetostrictive actuators. The formulation of the inertial system is constructed based on its general expression, which is capable of describing the hysteresis characteristics of magnetostrictive actuators. Then, the developed models with a Grompertz function-based shape function, a modified hyperbolic tangent function-based shape function employing an exponential function as an offset function, a one-sided dead-zone operator-based shape function are compared with each other, and further compared with the classic modified Prandtl–Ishlinskii model with a one-sided dead-zone operator. Sequentially, feasibility and capability of the proposed hysteresis model are verified and evaluated by describing and predicting the hysteresis characteristics of a commercial magnetostrictive actuator.

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A Modified Prandtl-Ishlinskii Model for Rate-dependent Hysteresis Nonlinearity Using mth-power Velocity Damping Mechanism

Cited by 16 publications

References 29 publications

Modeling the Viscoelastic Hysteresis of Dielectric Elastomer Actuators with a Modified Rate-Dependent Prandtl–Ishlinskii Model

Modeling the Viscoelastic Hysteresis of Dielectric Elastomer Actuators with a Modified Rate-Dependent Prandtl–Ishlinskii Model

Hysteresis Compensation in a Tactile Device for Arterial Pulse Reproduction

Asymmetric Hysteresis Modeling Approach Featuring “Inertial System + Shape Function” for Magnetostrictive Actuators

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