Establishment and evaluation of dynamic hysteresis models for piezo-positioning platform with high-frequency resonance characteristics

IF 5.6 2区工程技术 Q1 ENGINEERING, MULTIDISCIPLINARY

Measurement Pub Date : 2025-10-07 DOI:10.1016/j.measurement.2025.119240

Haotian Liu, Guilin Zhang

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引用次数: 0

Abstract

The high-frequency resonance characteristics of the piezo-positioning platform is a crucial factor limiting the increase of servo bandwidth. This paper proposes an identification method for the linear dynamic characteristics of piezoelectric positioning platforms that can accurately identify high-frequency resonance characteristics. Firstly, based on the Prandtl-Ishlinskii model, the system’s impulse response sequence is obtained using pseudo-random binary signals and correlation function calculations. Secondly, the Hankel matrix is constructed using the impulse response sequence, and the system’s order is directly determined through singular value decomposition, with the model parameters obtained via the eigensystem realization algorithm. Then, based on the system’s frequency response model and the nominal model, a method is proposed to evaluate the quality of the linear dynamic model using multiplicative uncertainty errors and v-Gap. Finally, the experimental results verify the effectiveness of the proposed identification method and model evaluation method.

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具有高频共振特性的压电定位平台动态迟滞模型的建立与评价

压电定位平台的高频谐振特性是限制伺服带宽增加的关键因素。提出了一种能够准确识别高频谐振特性的压电定位平台线性动态特性识别方法。首先，基于Prandtl-Ishlinskii模型，利用伪随机二值信号和相关函数计算得到系统的脉冲响应序列；其次，利用脉冲响应序列构造Hankel矩阵，通过奇异值分解直接确定系统阶数，通过特征系统实现算法获得模型参数；然后，在系统频响模型和标称模型的基础上，提出了一种利用乘性不确定性误差和v-Gap评价线性动态模型质量的方法。最后，实验结果验证了所提出的识别方法和模型评价方法的有效性。

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来源期刊

Measurement 工程技术-工程：综合

CiteScore

10.20

自引率

12.50%

发文量

1589

审稿时长

12.1 months

期刊介绍： Contributions are invited on novel achievements in all fields of measurement and instrumentation science and technology. Authors are encouraged to submit novel material, whose ultimate goal is an advancement in the state of the art of: measurement and metrology fundamentals, sensors, measurement instruments, measurement and estimation techniques, measurement data processing and fusion algorithms, evaluation procedures and methodologies for plants and industrial processes, performance analysis of systems, processes and algorithms, mathematical models for measurement-oriented purposes, distributed measurement systems in a connected world.