基于谱分解的SINS传递对准可观测度分析方法

Analysis method of observable degree based on spectral decomposition in SINS transfer alignment

针对舰载武器捷联惯导系统的快速精确传递对准问题,对"速度+姿态"匹配进行了简化,给出"速度+航向"匹配的传递对准模型。在此基础上,提出了一种基于Hermite矩阵谱分解的可观测度分析方法,该方法仅需要对阶数与系统状态维数相同的Hermite矩阵进行谱分解,算法简单。最后,应用该方法分别对三种匹配(速度匹配、"速度+姿态"匹配和"速度+航向"匹配)的系统状态进行可观测度分析。仿真试验结果表明:基于谱分解的可观测度分析方法是正确有效的,"速度+航向"匹配的对准精度在10 s内优于4′,能够实现捷联惯导系统的快速精确传递对准。

In order to solve the problem in rapid and accurate transfer alignment of the shipboard weapon strapdown inertial navigation system （SINS）, the velocity and attitude matching method is simplified into a velocity and head matching method, and the model of transfer alignment is established. From this, a new observable degree analysis method based on Hermite matrix spectral decomposition theory is presented to analyze the system states. The method only requires spectral decomposing for Hermite matrix whose order is the same as the dimension of observations. Finally, the system states of three matching methods （velocity matching, velocity and attitude matching, velocity and head matching） are analyzed using the observable degree analysis method. The simulation result shows that the observable degree analysis method is correct and effective, and the transfer alignment accuracy is within 4＇ in 10 s by the velocity and head matching method, which rapidly and accurately realizes SINS transfer alignment.