基于J-A模型的压电双晶片执行器非线性建模及验证

NonlinEar Modeling and Verification of Piezoelectric Bimorph Actuator Based on Jiles-Atherton Model

摘要:

针对压电双晶片执行器的非线性建模问题,根据Hammerstein结构原理,将执行器系统线性动态模块与非线性静态模块串联,提出了基于Jiles-Atherton模型的压电双晶片建模及参数辨识方法,并结合有限元数值仿真和试验测试对比分析模型的准确性。静/动态对比结果显示,理论模型、有限元仿真及试验测试迟滞非线性分别为18.1%,17.9%,19.3%,理论模型、有限元仿真与试验测试的阶跃响应相对误差平均值分别为5.2%和4.1%, 表明建模方法准确有效。

Abstract:

To address the nonlinear modeling of piezoelectric bimorph actuators, a method is proposed based on the Hammerstein structure. This approach connects the linear dynamic and nonlinear static modules of the system in series, and a modeling and parameter identification method for piezoelectric bimorphs is introduced based on the Jiles-Atherton model. To verify the accuracy of the model, finite element simulations and experimental tests were conducted and compared. The static/dynamic comparison results indicated hysteresis nonlinearities of 18.1%, 17.9%, and 19.3% for the theoretical model, simulation, and experiments, respectively. Additionally, the average relative errors in the step response of simulations and experimental tests with respect to the theoretical model were 5.2% and 4.1%, highlighting the accuracy and effectiveness of the proposed modeling approach.