Zhang Quan, Gao Yuanpeng, Li Qingling, Yin Dayi
CAS Key Laboratory of Infrared System Detection and Imaging Technology, Shanghai Institute of Technical Physics, Shanghai 200083, China.
Rev Sci Instrum. 2021 Nov 1;92(11):115004. doi: 10.1063/5.0059368.
This paper focuses on the study of the dynamic hysteresis compensation and control of piezoelectric actuators so as to improve the swing accuracy of the piezoelectric fast steering mirror mechanism in the photoelectric compound-axis control system. Moreover, in view of the rate dependence and asymmetry of piezoelectric hysteresis, and the complex inversion process of the generalized Bouc-Wen hysteresis model, the Hammerstein dynamic inverse hysteresis model of the piezoelectric actuator is established. To be specific, the static nonlinearity and rate dependence of the piezoelectric inverse hysteresis are represented by the generalized Bouc-Wen inverse model and the auto-regressive exogenous model, respectively, and the parameters of the model are identified by the adaptive beetle swarm optimization algorithm. In the process of the open-loop feedforward compensation, the dynamic positioning accuracy of the piezoelectric actuator is greatly affected by various disturbances and the uncertainty of the hysteresis compensation model. In this context, a compound control strategy that combines the feedforward compensation with the single-neuron adaptive proportion-integration-differentiation control is proposed based on the Hammerstein dynamic inverse hysteresis model of the piezoelectric actuator. The experimental results verify the effectiveness and superiority of the proposed control strategy.
本文聚焦于压电驱动器的动态滞后补偿与控制研究，旨在提高光电复合轴控制系统中压电快速转向镜机构的摆动精度。此外，鉴于压电滞后的速率依赖性和不对称性，以及广义布赫-温滞后模型复杂的逆过程，建立了压电驱动器的哈默斯坦动态逆滞后模型。具体而言，压电逆滞后的静态非线性和速率依赖性分别由广义布赫-温逆模型和自回归外生模型表示，且模型参数通过自适应甲虫群优化算法进行辨识。在开环前馈补偿过程中，压电驱动器的动态定位精度受各种干扰和滞后补偿模型不确定性的影响较大。在此背景下，基于压电驱动器的哈默斯坦动态逆滞后模型，提出了一种将前馈补偿与单神经元自适应比例-积分-微分控制相结合的复合控制策略。实验结果验证了所提控制策略的有效性和优越性。
