由压电陶瓷驱动器构成的快速微摆反射镜平台存在迟滞特性, 影响了对快速微摆反射镜的控制。为了能够有效的对快速微摆反射镜进行控制, 采用基于PI逆模型的开环控制方法。首先, 采用PI模型对快速微摆反射镜平台的迟滞特性建立数学模型, 通过最小二乘法辨识PI模型的参数; 其次, 基于PI模型的可逆性, 求解PI逆模型参数; 最后, 验证基于PI逆模型的开环控制方法的有效性。根据轨迹跟踪实验得到的数据, 在正弦波轨迹输入信号下的均方根误差为1.23%, 最大误差为2.45%; 在三角波轨迹输入信号下的均方根误差为1.3%, 最大误差为2.37%。证明了基于PI逆模型的开环控制方法是可行的, 能够有效地控制快速微摆反射镜。

Fast steering mirror platform which is composed of piezoelectric ceramic has hysteresis characteristic, it affects the control of the fast steering mirror. In order to control fast steering mirror effectively, open loop control method based on Prandtl-Ishlinskii(PI) inverse model was adopted. Firstly, the PI model was used to build the mathematic model of the hysteresis characteristic of the fast steering mirror and the parameters of PI model were identified by least mean squares method; Secondly, the parameters of the inverse model of PI were solved based on the reversibility of the PI model; Lastly, the effectiveness of the open loop control method based on PI inverse model was verified. According to trajectory tracking experiment data, in the case of sine wave trajectory, root mean error is 1.23% and maximum error is 2.45%; in the case of triangle wave, root mean error is 1.3%, maximum error is 2.37%. It proves that open loop method based on PI inverse model is feasible and can effectively control fast steering mirror.