气动肌肉力-位移迟滞特性实验与建模
Experimental Investigation and Modeling of Force-Displacement Hysteresis of Pneumatic Muscles
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摘要: 搭建了气动肌肉收缩力测试实验台,通过分析不同压力、行程、收缩速率及频率下气动肌肉收缩力与位移的关系曲线,得出气动肌肉的力-位移迟滞现象具有非对称性、非局部记忆性、大压力弱相关性和准率不相关性。针对常见Prandtl-Ishlinskii(PI)类模型难以准确描述气动肌肉力-位移迟滞曲线的问题,对通用PI迟滞模型的dead-zone算子进行方向上的修正,建立气动肌肉修正PI+Dead-zone迟滞模型,利用最小二乘法进行参数辨识,并与经典PI模型、经典Bouc-Wen(BW)模型、PI+Polynomial模型、Wang-Wen模型、BW+Polynomial模型进行精度对比分析。结果表明,PI类模型性能显著优于BW类模型,且修正PI+Dead-zone模型精度最高,各行程下绝对平均误差不超过1 N、均方差不超过1.5 N,能无差别处理气动肌肉力-位移迟滞曲线非对称性问题。小行程工况下,气动肌肉经典PI模型也具有一定的描述其力-位移迟滞现象的能力,且其模型参数相对较少。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 forcedisplacement 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 forcedisplacement. Aiming at the problem that the existing Prandtl-Ishlinskii( PI) model cannot predict forcedisplacement 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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