【摘要】 为了对卫星领域应用的光纤陀螺稳定性和寿命进行提前评估,提出了一种基于倒向微分方程理论的评估方法。首先,分析了倒向随机微分方程的理论基础和工程应用的结构形式;其次,针对光纤陀螺产品结构特点和零位稳定性指标要求,构建了光纤陀螺倒向微分方程模型;第三,通过对模型方程的推导,利用极大似然估计法对模型参数进行了最优估计;最后,利用陀螺零位稳定性测试数据,对模型的符合性进行了验证。验证结果表明:通过倒向随机微分方程模型得出的光纤陀螺零位预估值同陀螺实测值拟合度较好,其拟合优度可决系数R~2=0.7033,拟合误差的均方根值为0.0481 (°)/h,模型是适宜的,可用于工程实际,实现对陀螺零位稳定性指标的出厂控制。更多还原

【Abstract】 In order to evaluate the stability and life of FOG in satellite field, a method based on backward differential equation(BSDE) theory is proposed, which can be used to realize the early evaluation and control the out-of-factory indicators of products. First, the theoretical basis of BSDE and the structural form of engineering application are analyzed. Second, according to the structure characteristics of FOG products and the requirement of FOG bias, the BSDE model of FOG is constructed. Then, based on the derivation of the model equation, the maximum likelihood estimation method is used to estimate the model parameters optimally.Finally, the consistency of the model is validated by using the test data of FOG bias. The verification results show that the predicted FOG bias obtained by BSDE model fits well with the measured value(R~2 =0.7033),and the root-mean-square value of the fitting error is 0.0481 by calculation, showing that the model is suitable and can be used in engineering practice to realize the factory control of gyroscope bias stability index.更多还原