联合定轨非线性模型估值的偏差修正算法

Deviation Correction Algorithm of Estimation Value to Combined Orbit Determination Nonlinear Model

从理论上推导了联合定轨非线性参数回归模型估值的偏差与均方误差的表示方法,提出了一种基于迭代算法的参数估值的偏差修正方法。通过对联合定轨非线性半参数回归模型结构的分析,建立了参数估值的偏差与方差的近似表示公式,并设计了非线性半参数联合定轨模型估值的偏差修正算法。理论分析和仿真计算结果表明,联合定轨非线性回归模型估值偏差修正方法能够进一步改善卫星联合定轨精度,从实际应用角度验证了偏差修正方法的合理性和可行性。

A deviation correction method of parameter estimation value to combined orbit determination （COD） nonlinear regression model based on an iterative algorithm was put forward by deducing the deviation and mean square error expressions of COD model estimation value from theoretical angle. The approximate deviation and mean square error expressions of parameters estimation were built by analyzing COD nonlinear semi-parametric regression model structure, which were used to design deviation correction simulation algorithm. Theory analysis and simulation computation results show that the deviation correction method can ameliorate COD precision ulteriorly, which validates rationality and feasibility of deviation correction method from the practical angle.