极区横向地理系空间稳定型惯导算法研究

针对地心惯性系和当地地理系的空间稳定型惯导系统导航算法在极区导航失效的问题,提出了适用于空间稳定型惯导系统的极区导航算法。该算法通过伪经纬网构建了横坐标系参考框架,建立了横向地理系空间稳定型惯导系统力学编排,并在此基础上重新推导了通用的误差模型。最后,通过极点附近区域与穿越极点区域仿真分析了算法的极区有效性。仿真结果表明该算法在极点附近区域解算的伪航向角误差小于3′,伪经度误差小于4′;在穿越极点区域解算的伪纵摇角、伪横摇角误差小于0.3′,伪航向角误差小于3′,伪东向、伪北向速度误差小于1m/s,伪经度、伪纬度误差小于4.2′。该算法克服了极区导航计算溢出、误差放大等问题,提高了系统的极区导航精度,能够满足极区导航要求。

Research on Polar Space-stabilized Inertial Navigation Algorithm Based on the Transverse Geographic Coordinate System

Aiming at the problem that the algorithm of the space-stabilized inertial navigation system under the geocentric inertial system and the local geographic system fails in the polar region,a polar navigation algorithm suitable for the space-stabilized inertial navigation system is proposed.The algorithm constructs the transverse geographic coordinate system with the pseudo-latitude and pseudo-longitude,rearranges the mechanism of the space-stabilized inertial navigation system under the transverse geographic coordinate system,and further deduces the universal error model.Finally,the effectiveness of the algorithm is analyzed via conducting simulations near the pole region and across the pole.The simulation results demonstrates that the pseudo-yaw error near the pole region is less than 3′,and the pseudo-longitude error is less than 4′.When crossing the pole,the pseudo-pitch and pseudo-roll are less than 0.3′,the pseudo-yaw error is less than 3′,the pseudo-east and pseudo-north velocity errors are less than 1m/s,and the pseudo-latitude and pseudo-longitude errors are less than 4.2′.Conclusively,the proposed algorithm surmounts the calcula-tion overflow and error amplification in the polar navigation,improving the accuracy of the polar navigation system and satisfying the requirements of the polar voyage.