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针对光电探测系统高指向精度要求,提出了补偿最小二乘法与双三次样条插值相结合的半参数模型标定算法来减小系统指向误差。根据光电探测系统结构组成,运用多体系统理论建立系统指向误差参数模型。引入非参数分量,建立半参数模型,应用补偿最小二乘法对半参数模型进行标定得到修正模型。搭建实验平台测得两组数据,分别用于运动学标定与验证修正结果。实验结果表明:系统方位向、俯仰向指向误差均值从92.1185″、75.9358″降低到2.7100″、2.7755″,指向误差标准差从21.6522、15.1744降低到10.8645、10.7305。表明提出的标定算法能有效提高光电探测系统指向精度和空间指向稳定性,且能同时考虑系统误差的线性与非线性关系。
According to the requirement of high pointing precision of photoelectric detection system, a semi-parametric model calibration algorithm based on compensated least squares and bi-cubic spline interpolation is proposed to reduce the system pointing error. According to the structure of the photoelectric detection system, the multi-body system theory is used to establish the model of the system’s pointing error parameter. The nonparametric component is introduced to establish the semi-parametric model. The semi-parametric model is calibrated using the compensation least square method to obtain a modified model. Set up two sets of experimental platform data measured, respectively, for kinematic calibration and validation of the results of the correction. The experimental results show that the mean errors of directional azimuth and elevation are reduced from 92.1185 “and 75.9358” to 2.7100 “and 2.7755”, respectively. The standard deviation of pointing errors is reduced from 21.6522 and 15.1744 to 10.8645 and 10.7305. It shows that the proposed calibration algorithm can effectively improve the pointing accuracy and space stability of the photoelectric detection system, and can simultaneously consider the linearity and nonlinearity of the system error.