超音速捷联惯导系统圆锥误差补偿算法研究

摘要

针对捷联惯导系统中的圆锥运动及其三子样等效旋转矢量补偿算法进行了详细分析.并在超音速条件下,对三子样优化算法和分别利用前一补偿周期角增量及前两个补偿周期角增量的三子样等效旋转矢量修正算法对圆锥误差的补偿进行了仿真分析.仿真结果显示,利用前两个补偿周期角增量的三子样等效旋转矢量补偿修正算法精度最高,三子样优化算法精度最低.因此,在受器件限制,不能提高采样频率的情况下,通过利用前两个补偿周期角增量的历史信息可显著减小误差,而在导航程序的编写上只是增加了几个乘法和循环运算,工程上较易实现.%In this paper, conic motion and three -sample rotation vector algorithm in the SINS(Strap- Down Inertial Navigation System) are analyzed in detail. Under supersonic condition, the three - sample rotation vector optimal algorithm, other two three - sample rotation vector compensation algorithms which take advantage of the angular increment in the former and the former two are simulated and analyzed. The simulation result indicates that the three - sample rotation vector compensation algorithm which takes advantage of the angular increment in the former two has the best precision than other two. This shows, when the sampling frequency cant be increased due to the limitation of equipments, using the angular increment in the former two can diminish the error evidently. This only needs to in-crease several multiplication and loop computation on the programme, and is easy to realize in engineering.