Development of a Butterfly Fractional-Order Backlash-Like Hysteresis Model for Dielectric Elastomer Actuators

Li, Zhi; Li, Zikang; Xu, Hongzhi; Zhang, Xiuyu; Su, Chun‐Yi

doi:10.1109/tie.2022.3163553

Cited by 16 publications

(4 citation statements)

References 30 publications

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“…(xii) Set βu = 0 ∀ u > U. For all the resulting k vi and η pj which correspond to non-zero entries of β, compute the corresponding η vi and k pj based on (36). For all the resulting k vi and η pj which correspond to zero entries of β, set k pj = 0 and remove the differential equations for the corresponding ξ vi and ξ pj in (22).…”

Section: Parameter Identification Algorithmmentioning

confidence: 99%

“…Despite their physical interpretability, such models are generally too complex to be used in real-time control applications. Other authors have investigated phenomenological DE models based on mathematical hysteresis operators [33][34][35][36]. Despite being generally accurate, these models lacked physical interpretation and, thus, are only able to reproduce the overall input-output behavior of DE actuator (DEA) systems in a black-box fashion.…”

Section: Introductionmentioning

confidence: 99%

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Energy-based modeling of rate-independent hysteresis and viscoelastic effects in dielectric elastomer actuators

Rizzello

2024

Smart Mater. Struct.

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Dielectric elastomer (DE) transducers are known to exhibit a rate-dependent hysteresis in their force-displacement response, which is commonly attributed to the viscoelastic behavior of the elastomer material as well as the compliant electrodes. In case of DE materials characterized by low mechanical losses, such as silicone, the mechanical hysteresis often turns out to be practically rate-independent in the low frequency range (sub-Hz), while rate-dependent hysteretic effects only become relevant at higher deformation rates. Most of existing literature focuses on describing DE hysteretic losses through viscoelasticity theory. Even though this approach results in relatively simple dynamic models, those are not capable to describe rate-independent hysteretic behaviors. In this work, we propose a control-oriented modeling framework for both rate-dependent and rate-dependent hysteresis occurring in uniaxially-loaded DE actuators. The model combines classic thermodinamically-consistent modeling approaches for DEs with a new energy-based Maxwell-Lion formalization of the hysteretic losses. The resulting dynamic model consists of a set of nonlinear ordinary differential equations, and is capable of simultaneously describing geometry dependencies, large deformation nonlinearities, electro-mechanical coupling, as well as rate-independent and rate-dependent hysteretic effects. To deal with the large number of involved parameters, a new systematic identification algorithm based on quadratic programming is also proposed. After presenting the theory, the model is validated based on experiments conducted on a silicone-based rolled DE actuator, and its superiority compared to classic DE viscoelstic models is quantitatively assessed.

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Section: Parameter Identification Algorithmmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Energy-based modeling of rate-independent hysteresis and viscoelastic effects in dielectric elastomer actuators

Rizzello

2024

Smart Mater. Struct.

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“…Within the scope of fractional-order control, efficient approximations of the fractional-order operators (integrals or derivatives) are needed for practical realization purposes [33], [34], [35], [36]. Also, these approximations enable the use of well-accepted integer order simulation software and stability assessment methods when designing FO controllers.…”

Section: A Fractional-order Calculus Preliminariesmentioning

confidence: 99%

Enhancing Dynamic Performance of Islanded Microgrids by Fractional-Order Derivative Droop

AbdelAty,

Al-Durra,

Zeineldin

et al. 2024

IEEE Trans. Ind. Inf.

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Islanded operation of microgrids (MGs) with parallel-operated inverters imposes many control challenges in terms of stability and dynamic behavior, especially at contingency events. Hence, improving the dynamic performance and the stability margin is essential for robust MG operation. Therefore, the fractional-order derivative (FOD) droop controller is proposed to achieve these goals. A detailed small signal model is developed for the entire MG with the proposed controller and then used to assess the stability of the MG. The FOD and the integer-order derivative (IOD) droop controllers are applied to a benchmark MG and tuned via an optimization procedure under multiple loading conditions. The results show that the extra degrees of freedom introduced by the FOD droop facilitate pushing the dominant modes toward the required stability region. The proposed FOD droop is compared to the IOD droop, conventional droop, VOC, and virtual synchronous generator controllers under several contingency events and a reconfiguration scenario using MATLAB/SIMULINK, where the proposed controller shows superior performance. The experimental validations demonstrate the improved powersharing performance of the proposed FOD droop controller.

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“…[5][6][7] A far less studied topic in the DEA modeling literature concerns the rate-independent hysteretic effects, which are experimentally observed when deforming some materials (e.g., silicone) in the sub-Hz regime, 8 and cannot be described by means of commonly adopted viscoelastic models. In this context, some authors investigated phenomenological models for rate-independent hysteretic effects observed in the voltage-displacement characteristics of DEA devices, [9][10][11][12] while few others focused on the physics-based description of stress-stretch hysteresis of elastomers, 13 or dielectric elastomers 14,15 specifically. On the one hand, phenomenological modeling approaches provide a description of the DEA system based on an input-output black box perspective.…”

Section: Introductionmentioning

confidence: 99%

An energy-based model for both rate-dependent and rate-independent hysteretic effects in uniaxially-loaded dielectric elastomer actuators

Prechtl

Scherf

Kunze

et al. 2023

Electroactive Polymer Actuators and Devices (EAPAD) XXV

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It is widely known that dielectric elastomer (DE) material exhibits a strongly rate-dependent hysteresis in their stress-stretch response. It is experimentally observed, however, that the hysteresis of some DE materials (e.g., silicone) behaves as practically rate-independent when operating in the sub-Hz range. Despite this fact, the investigation and modeling of rate-independent hysteretic effects in DEs has received much less attention in the literature, compared to the rate-dependent ones. In this paper, we propose a new lumped-parameter dynamic model capable of describing a stress-stretch DE hysteresis with both rate-dependent and rate-independent effects. The model is grounded on a physics-based approach, combining classic thermodynamically-consistent modeling of DE large deformations and electro-mechanical coupling with a new energy-based Maxwell-Lion description of the hysteretic process. After presenting the theory, the model is validated by means of experiments conducted on silicone-based rolled DE actuators.

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Development of a Butterfly Fractional-Order Backlash-Like Hysteresis Model for Dielectric Elastomer Actuators

Cited by 16 publications

References 30 publications

Energy-based modeling of rate-independent hysteresis and viscoelastic effects in dielectric elastomer actuators

Energy-based modeling of rate-independent hysteresis and viscoelastic effects in dielectric elastomer actuators

Enhancing Dynamic Performance of Islanded Microgrids by Fractional-Order Derivative Droop

An energy-based model for both rate-dependent and rate-independent hysteretic effects in uniaxially-loaded dielectric elastomer actuators

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