摘要
在脉冲星导航中,角位置误差是主要的误差源之一。因此本文基于X射线脉冲星导航,提出了一种修正扩维无迹卡尔曼滤波(MASUKF)算法进行角位置误差的改进。MASUKF算法在原扩维无迹卡尔曼滤波(ASUKF)算法的基础上加入了Roamer延迟的高阶项,并将其作为误差项,将修改后的误差项代入状态方程与量测方程中,即可进行仿真分析。在仿真中,首先将ASUKF算法与UKF算法进行对比仿真模拟试验,结果显示ASUKF算法能显著地提高约45 m的定位精度,在X、Y、Z 3方向的速度误差估计精度约提高了20%;然后比较ASUKF与MASUKF算法,结果显示MASUKF算法较ASUKF算法的速度误差与位置误差的估计精度均提高2%以上。
In pulsar navigation,angular position error is one of the main sources of error. Therefore,based on X-ray pulsar navigation,MASUKF filtering algorithm is proposed to improve the angular position error. Based on the original ASUKF algorithm,the MASUKF algorithm adds the high-order term of the Roamer delay as an error term,and substitutes the modified error term into the state equation and measurement. In the equation,simulation analysis can be performed. In the simulation,the ASUKF algorithm is first compared with the UKF algorithm for simulation experiments. The results show that the ASUKF algorithm can significantly improve the positioning accuracy of about 45 m,and the speed error in the X,Y,and Z directions. The estimation accuracy is improved by about 20%. Then,the ASUKF and MASUKF algorithms are compared. The results show that the velocity accuracy and position error estimation accuracy of the MASUKF algorithm are more than 2% higher than the ASUKF algorithm.
引文
[1]熊凯,魏春岭,刘良栋.基于脉冲星的卫星星座自主导航技术研究[J].北京:宇航学报,2008,29(2):45-54.
[2]李志豪.基于X射线脉冲星的航天器导航滤波算法仿真分析[D].长沙:国防科学技术大学,2008:48-54.
[3]王敏.基于X射线脉冲星的航天器自主导航滤波算法研究[D].哈尔滨:哈尔滨工业大学,2015:34-39.
[4]孙景荣. X射线脉冲星导航及其增强方法研究[D].西安:西安电子科技大学,2014:53-55.
[5]李娜. X射线脉冲星自主导航定位的滤波方法研究[D].长沙:湖南大学,2017:38-46.
[6]徐星满.基于异常检测的X射线脉冲星自主导航方法研究[D].长沙:湖南大学,2017:84-88.
[7]田茜.融合脉冲星辐射矢量和计时观测的航天器定位方法[D].西安:西安电子科技大学,2014:37-40.
[9]史世平.X射线脉冲星导航系统在月球摄影测量中的应用[J].测绘通报,2011(9):8-10.
[10]刘一,谷守周,秘金钟,等.虚拟格网化的BDS/GPS位置差分方法研究[J].测绘通报,2019(1):13-17.
[11]黎栋梁,陈行.智慧规划下的协同编制信息资源平台研究[J].测绘通报,2019(1):149-154.
[12] ZHONG ChongXia,ZHANG Li,NIAN Feng,et al.Algorithm analysis of autonomous navigation of spacecraft based on X-ray pulsars[J]. Acta Astronomy and Astrophysics,2012:36-40.
[13] CUI P Y,WANG Shou,GAO Ai,et al. X-ray pulsars/Doppler integrated navigation for Mars final approach[J]. Advances in Space Research,2016:57(9):1889-1900.
[14] GUO P B,SUN J,HU S L,et al. Research on navigation of satellite constellation based on an asynchronous observation model using X-ray pulsar[J]. Advances in Space Research,2018,62(11):787-798.
[15] XU Q,WANG H L,FENG L,et al. An improved augmented X-ray pulsar navigation algorithm based on the norm of pulsar direction error[J]. Advances in Space Research,2018,62(11):3137-3198.
[16] SHEN L R,LI X P,SUN H F,et al. A robust compressed sensing based method for X-ray pulsar profile construction[J]. Optik-International Journal for Light and Electron Optics,2016,5542-5542.