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Stroke maximizing and high efficient hysteresis hybrid modeling for a rhombic piezoelectric actuator

机译：菱形压电致动器的行程最大化和高效滞后混合建模

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摘要

Rhombic piezoelectric actuator (RPA), which employs a rhombic mechanism to amplify the small stroke of PZT stack, has been widely used in many micro-positioning machineries due to its remarkable properties such as high displacement resolution and compact structure. In order to achieve large actuation range along with high accuracy, the stroke maximizing and compensation for the hysteresis are two concerns in the use of RPA. However, existing maximization methods based on theoretical model can hardly accurately predict the maximum stroke of RPA because of approximation errors that are caused by the simplifications that must be made in the analysis. Moreover, despite the high hysteresis modeling accuracy of Preisach model, its modeling procedure is trivial and time-consuming since a large set of experimental data is required to determine the model parameters. In our research, to improve the accuracy of theoretical model of RPA, the approximation theory is employed in which the approximation errors can be compensated by two dimensionless coefficients. To simplify the hysteresis modeling procedure, a hybrid modeling method is proposed in which the parameters of Preisach model can be identified from only a small set of experimental data by using the combination of discrete Preisach model (DPM) with particle swarm optimization (PSO) algorithm. The proposed novel hybrid modeling method can not only model the hysteresis with considerable accuracy but also significantly simplified the modeling procedure. Finally, the inversion of hysteresis is introduced to compensate for the hysteresis non-linearity of RPA, and consequently a pseudo-linear system can be obtained.
机译：菱形压电致动器（RPA）采用菱形机构来放大PZT堆栈的小行程，由于其卓越的性能（例如高位移分辨率和紧凑的结构）而已广泛用于许多微定位机械中。为了获得较大的致动范围和高精度，行程最大化和磁滞补偿是RPA使用中的两个问题。但是，现有的基于理论模型的最大化方法几乎无法准确预测RPA的最大行程，这是由于分析中必须进行简化而导致的近似误差。此外，尽管Preisach模型具有很高的滞后建模精度，但由于需要大量实验数据来确定模型参数，因此其建模过程是琐碎且耗时的。在我们的研究中，为了提高RPA理论模型的准确性，采用了近似理论，其中可以用两个无因次系数来补偿近似误差。为了简化磁滞建模过程，提出了一种混合建模方法，其中通过结合离散Preisach模型（DPM）和粒子群优化（PSO）算法仅从少量实验数据中识别Preisach模型的参数。提出的新型混合建模方法不仅可以对磁滞进行高精度建模，而且可以大大简化建模过程。最后，引入滞后反演以补偿RPA的滞后非线性，从而可获得伪线性系统。

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  • 来源
    《Mechanical systems and signal processing》 |2016年第6期|631-647|共17页
  • 作者

    Shubao Shao; Minglong Xu; Shuwen Zhang; Shilin Xie;

  • 作者单位

    State Key Laboratory for Strength and Vibration of Mechanical Structures, School of Aerospace, Xi'an Jiaotong University, Xi'an 710049, PR China;

    State Key Laboratory for Strength and Vibration of Mechanical Structures, School of Aerospace, Xi'an Jiaotong University, Xi'an 710049, PR China;

    State Key Laboratory for Strength and Vibration of Mechanical Structures, School of Aerospace, Xi'an Jiaotong University, Xi'an 710049, PR China;

    State Key Laboratory for Strength and Vibration of Mechanical Structures, School of Aerospace, Xi'an Jiaotong University, Xi'an 710049, PR China;

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  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类
  • 关键词

    Hysteresis; Rhombic piezoelectric actuator; Amplification ratio; Particle swarm optimization; Preisach model;

    机译：磁滞菱形压电致动器;放大率;粒子群优化;Preisach模型;

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