| 引用本文: | 王宏力,许强,由四海,等.考虑卫星位置误差的增广脉冲星方位误差估计算法.[J].国防科技大学学报,2018,40(5):177-182.[点击复制] |
| WANG Hongli,XU Qiang,YOU Sihai,et al.Augmented estimation algorithm for pulsar position error with satellite position error[J].Journal of National University of Defense Technology,2018,40(5):177-182[点击复制] |
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| 考虑卫星位置误差的增广脉冲星方位误差估计算法 |
| 王宏力, 许强, 由四海, 何贻洋, 冯磊 |
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(火箭军工程大学 制导教研室， 陕西 西安 710025)
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| 摘要: |
| 为了解决脉冲星方位误差估计中卫星位置误差对估计结果的影响，提出一种考虑卫星位置误差的增广脉冲星方位误差估计算法。为满足可观测性条件和保证尽可能低的矩阵运算维数，算法将卫星的位置误差标量作为增广状态。结合脉冲星方位误差估计基本原理，重新推得增广算法的状态及观测方程，并通过理论分析证明了算法的可观测性。最后仿真结果表明，当卫星位置误差导致传统算法的估计结果偏差较大时，该算法依然能够保证0.01 mas的赤经和0.3 mas的赤纬估计精度。不同方向的位置误差对方位误差估计精度影响较小。 |
| 关键词: 脉冲星 星表方位误差 卫星位置误差 卡尔曼滤波 |
| DOI：10.11887/j.cn.201805026 |
| 投稿日期：2018-01-17 |
| 基金项目:国家自然科学基金资助项目（61503391） |
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| Augmented estimation algorithm for pulsar position error with satellite position error |
| WANG Hongli, XU Qiang, YOU Sihai, HE Yiyang, FENG Lei |
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(Guidance Department, Rocket Force University of Engineering, Xi′an 710025, China)
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| Abstract: |
| In order to solve the influence of the satellite position error on the pulsar position error estimation results, an augmented estimation algorithm for the pulsar position error with satellite position error was proposed. In order to satisfy the observability conditions and ensure the lowest possible number of matrix operations, the algorithm used the satellite's position error scalar as the augmented state. Combined with the basic principle of the pulsar position error estimation, the state equation and the observation equation of the augmented algorithm were deduced again. Furthermore, the theoretical analysis proved the observability of the algorithm. The simulation results show that when the position error of the satellite causes the estimation of the traditional algorithm to deviate greatly, the algorithm can still guarantee the 0.01 mas accuracy of right ascension and 0.3 masaccuracy of declination. The position errors in different directions have less effect on the accuracy of the estimation results. |
| Keywords: pulsar pulsar position error satellite position error Kalman filter |
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