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为了提高多手持终端对卫星脉冲机动轨道的实时确定精度,并降低定轨精度对滤波初值的敏感性,提出一种五阶强跟踪球面单形-径向容积卡尔曼滤波(5-STSSRCKF)方法。采用n维正则单形变换群和矩匹配法推导五阶球面单形-径向容积准则,并将该准则嵌入强跟踪滤波(STF)框架。利用STF的等价表示计算次优渐消因子,实现了在滤波稳定时在线实时调整增益矩阵,克服了残差增大时增益矩阵仍保持极小值的缺点,提高了对系统突变状态的跟踪能力。进行了仿真实验,结果表明,当滤波初值误差增大时,已有方法的定轨精度降低为1 798.199m,而提出的5-STSSRCKF的定轨精度可以维持在8.688m;当卫星进行脉冲机动时,已有方法不具备对机动轨道状态的跟踪能力,而5-STSSRCKF的定轨精度仍然维持在8.976m。实验显示,5-STSSRCKF对滤波初值不敏感,并且对卫星脉冲机动轨道的实时确定精度更高。
In order to improve the real-time determination accuracy of satellite pulse orbit and reduce the sensitivity of orbit determination accuracy to the initial value of the satellite pulse, a five-order strong tracking spherical single-radial Kalman filter (5-STSSRCKF) method. The fifth-order spherical simplex-radial volume criterion is deduced by the n-dimensional regular simplex transform group and the moment matching method, and the criterion is embedded into the strong tracking filter (STF) framework. The suboptimal fading factor is calculated by using the equivalent representation of STF, which realizes the online real-time adjustment of gain matrix while the filtering is stable, overcomes the shortcoming that the gain matrix remains minimal when the residual increases, and improves the tracking of the abrupt change of system ability. The simulation results show that when the initial error increases, the orbit determination accuracy of the existing method is reduced to 1 798.199m, while that of the proposed 5-STSSRCKF can be maintained at 8.688m. When the satellite is pulsed When maneuvering, the existing methods do not have the ability to track the state of the orbit, while the orbit accuracy of the 5-STSSRCKF is still maintained at 8.976m. Experiments show that 5-STSSRCKF is not sensitive to the initial value of the filter, and the accuracy of real-time determination of satellite pulse orbit is higher.