Research on Asymmetric Hysteresis Modeling and Compensation of Piezoelectric Actuators with PMPI Model
Research on Asymmetric Hysteresis Modeling and Compensation of Piezoelectric Actuators with PMPI Model
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PMPI模型压电执行器非对称磁滞建模与补偿研究
DOI：
10.3390/mi11040357
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发表时间：
2020-04-01
期刊：
影响因子：
3.4
通讯作者：
Ju, Bingfeng
中科院分区：
文献类型：
--
作者：
Wang, Wen;Wang, Jian;Ju, Bingfeng
压电致动器具有频率响应快、刚度高、位移分辨率高等优点，在微纳驱动领域得到了广泛的应用。然而，磁滞非线性特性严重影响了加工精度的进一步提高。本文主要研究了豌豆的非对称迟滞行为建模和补偿问题。首先，提出了一种多项式修正的PMPI （Prandtl-Ishlinskii）模型来描述非对称迟滞行为。与经典的Prandtl-Ishlinskii （PI）模型相比，PMPI模型可用于描述对称和非对称滞后。然后，分析并验证了PMPI模型的同余性。其次，基于PMPI模型，设计逆模型（I-M）补偿器进行滞后补偿。分析了I-M补偿器的稳定性。最后，通过仿真和实验验证了PMPI模型和I-M补偿器的准确性。结果表明，PMPI模型可以有效地描述非对称迟滞，I-M补偿器可以很好地抑制豌豆的迟滞特性。
Because of fast frequency response, high stiffness, and displacement resolution, the piezoelectric actuators (PEAs) are widely used in micro/nano driving field. However, the hysteresis nonlinearity behavior of the PEAs affects seriously the further improvement of manufacturing accuracy. In this paper, we focus on the modeling of asymmetric hysteresis behavior and compensation of PEAs. First, a polynomial-modified Prandtl–Ishlinskii (PMPI) model is proposed for the asymmetric hysteresis behavior. Compared with classical Prandtl–Ishlinskii (PI) model, the PMPI model can be used to describe both symmetric and asymmetric hysteresis. Then, the congruency property of PMPI model is analyzed and verified. Next, based on the PMPI model, the inverse model (I-M) compensator is designed for hysteresis compensation. The stability of the I-M compensator is analyzed. Finally, the simulation and experiment are carried out to verify the accuracy of the PMPI model and the I-M compensator. The results implied that the PMPI model can effectively describe the asymmetric hysteresis, and the I-M compensator can well suppress the hysteresis characteristics of PEAs.