串联死区算子的压电微夹钳PI迟滞模型
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国家自然科学基金资助项目(No. 51175271);教育部留学回国人员科研启动基金资助项目;浙江省高等学校中青年学科带头人学术攀登基金资助项目(No. Pd2013091)

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Research on PI Hysteresis Model with Deadzero Operator of Piezoelectric Microgripper
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    摘要:

    针对PrandtlIshlinskii(PI)模型要求被描述对象的初载曲线为凸函数,且模型与其逆模型都应关于算子中心对称的不足,通过引入死区算子对PI模型进行改进,以使其更好地描述具有非凸、非奇对称的压电陶瓷材料的迟滞特性。基于实测的压电微夹钳初载曲线,采用等分阈值方式,并通过使改进PI模型与实测初载曲线间的误差函数为最小,辨识出改进PI模型的参数,建立了压电微夹钳的迟滞模型。实验结果表明,在微夹钳15.2 μm的最大位移范围内,模型误差的变化范围为-0.310~0.156 μm,所建模型能很好地描述压电微夹钳的迟滞特性。

    Abstract:

    PrandtlIshlinskii(PI) model requires that an initial loading curve of described object is convex function.At the same time,the requirements of PI model and its inverse model are symmetric about operator center. To overcome this shortage,PI model is improved by connecting deadzero operator.The proposed model can well describe the piezoelectric ceramic material hysteresis curve with nonconvex,non odd symmetric characteristic. Based on the measured initial loading curve of the piezoelectric microgripper,using a method of equal division threshold and minimizing the error function between improved PI model and the initial loading curve,the parameters of the proposed PI model are identified. Then the hysteresis model of the microgripper is established.Experimental results indicate that in the maximum displacement range of 15.2 μm,the error range of the model is -0.310~0.156 μm.The proposed model can well describe the hysteresis characteristic of the micro-gripper.

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郑军辉,崔玉国,蔡成波,薛飞.串联死区算子的压电微夹钳PI迟滞模型[J].压电与声光,2015,37(4):650-654. ZHENG Junhui, CUI Yuguo, CAI Chengbo, XUE Fei. Research on PI Hysteresis Model with Deadzero Operator of Piezoelectric Microgripper[J]. PIEZOELECTRICS AND ACOUSTOOPTICS

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  • 在线发布日期: 2015-07-22
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