压电作动器的高斯过程回归建模Gaussian Process Regression Modeling of Piezoelectric Actuators
梁晋华,王贞艳,刘思源
摘要(Abstract)：
针对压电作动器所存在的迟滞非线性问题，提出了一种基于高斯过程回归的压电作动器建模方法，用高斯过程来表征压电作动器的电压与位移之间的非线性关系，采用粒子群优化算法对高斯过程中协方差函数所包含的三个超参数进行辨识，并与传统的Bouc-Wen模型下的压电作动器的迟滞性结果进行对比。实验仿真结果表明，在信号频率(1～100)Hz范围内，高斯过程回归模型所建立的压电迟滞模型最大均方根误差为0.532 9μm,最大相对误差为3.23%,相比于传统的Bouc-Wen模型，高斯过程回归模型模型在10 Hz、50 Hz、80 Hz、100 Hz处的建模误差分别降低了约15%、29%、67%、72%.
关键词(KeyWords)： 压电作动器;迟滞非线性;高斯过程;超参数辨识;协方差函数
基金项目(Foundation): 山西省研究生教育创新项目(2020SY420)
作者(Author): 梁晋华,王贞艳,刘思源
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