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基于一种实用的三阶段机制的压电致动器系统辨识与数学建模

System Identification and Mathematical Modeling of A Piezoelectric Actuator through A Practical Three-Stage Mechanism.

作者信息

Levy Dror A, Shapiro Amir

机构信息

Department of Mechanical Engineering, Ben-Gurion University of the Negev, Beer-Sheva 84105, Israel.

出版信息

Micromachines (Basel). 2022 Dec 29;14(1):88. doi: 10.3390/mi14010088.

DOI:10.3390/mi14010088
PMID:36677148
原文链接:https://pmc.ncbi.nlm.nih.gov/articles/PMC9861109/
Abstract

Piezoelectric elements (PEMs) are used in a variety of applications. In this paper, we developed a full analytical model and a simple system identification (SI) method of a piezoelectric actuator, which includes piezostack elements and a three-stage amplification mechanism. The model was derived separately for each unit of the system. Next, the units were combined, while taking into account their coupling. The hysteresis phenomenon, which is significant in piezoelectric materials, is described extensively. The theoretical model was verified in a laboratory setup. This setup includes a piezoelectric actuator, measuring devices and an acquisition system. The measured results were compared to the theoretical results. Some of the most well-known forms of system identification are shown briefly, while a new and simple algorithm is described systematically and verified by the model. The main advantage of this work is to provide a solid background and domain knowledge of modelling and system identification methods for further investigations in the field of piezoelectric actuators. Due to their simplicity, both the model and the system identification method can be easily modified in order to be applied to other PEMs or other amplification mechanism methods. The main novelty of this work lies in applying a simple system identification algorithm while using the system-level approach for piezoelectric actuators. Lastly, this review work is concluded and some recommendations for researchers working in this area are presented.

摘要

压电元件(PEMs)被应用于各种场合。在本文中,我们开发了一种压电致动器的完整分析模型和一种简单的系统识别(SI)方法,该致动器包括压电叠层元件和三级放大机构。该模型是针对系统的每个单元分别推导得出的。接下来,在考虑各单元耦合的情况下将它们组合起来。文中广泛描述了压电材料中显著存在的滞后现象。理论模型在实验室装置中得到了验证。该装置包括一个压电致动器、测量设备和一个采集系统。将测量结果与理论结果进行了比较。简要展示了一些最著名的系统识别形式,同时系统地描述了一种新的简单算法,并通过该模型进行了验证。这项工作的主要优势在于为压电致动器领域的进一步研究提供建模和系统识别方法的坚实背景和领域知识。由于其简单性,模型和系统识别方法都可以轻松修改,以便应用于其他压电元件或其他放大机构方法。这项工作的主要新颖之处在于在使用系统级方法研究压电致动器时应用了一种简单的系统识别算法。最后,总结了这项综述工作,并为该领域的研究人员提出了一些建议。

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https://cdn.ncbi.nlm.nih.gov/pmc/blobs/bdcc/9861109/201e7c2e8735/micromachines-14-00088-g010.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/bdcc/9861109/377df98572e6/micromachines-14-00088-g011.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/bdcc/9861109/a1c1a2c2552d/micromachines-14-00088-g012.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/bdcc/9861109/c988d74d1e80/micromachines-14-00088-g013.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/bdcc/9861109/6ae5f5f755e5/micromachines-14-00088-g014.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/bdcc/9861109/7ad64be79ac2/micromachines-14-00088-g015.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/bdcc/9861109/ccb3fa7af146/micromachines-14-00088-g016.jpg
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https://cdn.ncbi.nlm.nih.gov/pmc/blobs/bdcc/9861109/e3fc76e664d0/micromachines-14-00088-g019.jpg

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A Friction-Inertial-Based Rotary Motor: Design, Modelling and Experiments.一种基于摩擦惯性的旋转电机:设计、建模与实验
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A modified Prandtl-Ishlinskii model for modeling asymmetric hysteresis of piezoelectric actuators.用于建模压电执行器不对称迟滞的修正 Prandtl-Ishlinskii 模型。
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