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氣動肌肉力-位移遲滯特性實(shí)驗(yàn)與建模
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國家自然科學(xué)基金項(xiàng)目(51505474)和中國博士后科學(xué)基金特別項(xiàng)目(2016T90520)


Experimental Investigation and Modeling of Force-Displacement Hysteresis of Pneumatic Muscles
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    摘要:

    搭建了氣動肌肉收縮力測試實(shí)驗(yàn)臺,通過分析不同壓力、行程、收縮速率及頻率下氣動肌肉收縮力與位移的關(guān)系曲線,得出氣動肌肉的力-位移遲滯現(xiàn)象具有非對稱性、非局部記憶性、大壓力弱相關(guān)性和準(zhǔn)率不相關(guān)性。針對常見Prandtl-Ishlinskii(PI)類模型難以準(zhǔn)確描述氣動肌肉力-位移遲滯曲線的問題,對通用PI遲滯模型的dead-zone算子進(jìn)行方向上的修正,建立氣動肌肉修正PI+Dead-zone遲滯模型,利用最小二乘法進(jìn)行參數(shù)辨識,并與經(jīng)典PI模型、經(jīng)典Bouc-Wen(BW)模型、PI+Polynomial模型、Wang-Wen模型、BW+Polynomial模型進(jìn)行精度對比分析。結(jié)果表明,PI類模型性能顯著優(yōu)于BW類模型,且修正PI+Dead-zone模型精度最高,各行程下絕對平均誤差不超過1N、均方差不超過1.5N,能無差別處理氣動肌肉力-位移遲滯曲線非對稱性問題。小行程工況下,氣動肌肉經(jīng)典PI模型也具有一定的描述其力-位移遲滯現(xiàn)象的能力,且其模型參數(shù)相對較少。

    Abstract:

    An experiment setup for the contraction force measurements of pneumatic muscles was developed for sake of the pneumatic muscle’s dynamic characteristics. The pneumatic muscle force-displacement hysteresis characteristics were found to be asymmetry, with nonlocal memory, weak correlation of high internal pressure, and quasi rate-independent by investigating the influence of the internal pressure, stroke, contraction velocity, contraction frequency on the pneumatic muscle’s force-displacement. Aiming at the problem that the existing Prandtl-Ishlinskii (PI) model cannot predict force-displacement hysteresis much well, a modified PI+Dead-zone hysteresis model was developed by incorporating a modified dead-zone operator with the classical PI model. The model’s parameters were further estimated by the least square method and the model precision was compared with the classical PI model, the classical Bouc-Wen (BW) model, PI+Polynomial model, Wang-Wen model and BW+Polynomial model. Comparative experiment results showed that the PI type models performed much better than BW model, and the modified PI+Dead-zone model can predict force-displacement hysteresis best with the absolute mean error less than 1N and the mean variance less than 1.5N under each contraction condition. Furthermore, the classical PI model which possessed fewer model parameters can also estimate the force-displacement hysteresis accurately during a short contraction. Above experimental results provided a valid reference for nonlinear control of the PAM actuated servo system.

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孟德遠(yuǎn),李順利,楊林,李艾民,唐超權(quán).氣動肌肉力-位移遲滯特性實(shí)驗(yàn)與建模[J].農(nóng)業(yè)機(jī)械學(xué)報(bào),2021,52(4):402-410. MENG Deyuan, LI Shunli, YANG Lin, LI Aimin, TANG Chaoquan. Experimental Investigation and Modeling of Force-Displacement Hysteresis of Pneumatic Muscles[J]. Transactions of the Chinese Society for Agricultural Machinery,2021,52(4):402-410.

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  • 收稿日期:2020-06-17
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  • 在線發(fā)布日期: 2021-04-10
  • 出版日期: 2021-04-10