基于Hermite插值的制导炮弹姿态旋转矢量优化方法

在制导炮弹姿态解算过程中，角增量提取精度对姿态解算精度的影响显著，为此提出一种Hermite 插值二子样角增量提取算法。进一步优化Hermite插值公式的系数，得出优化Hermite插值二子样角增量提取算法。在锥动环境下，将该算法与Lagrange插值三子样角增量提取算法进行仿真和试验对比。结果表明：采用所提出的Hermite插值二子样角增量提取算法的姿态解算精度优于Lagrange插值，且优化Hermite插值更适用于制导炮弹姿态解算的实际情况；该算法不仅适用于制导炮弹高动态环境，而且在同样精度条件下，可降低姿态更新采样频率，降低了对导航计算机的要求。

Optimization of Rotation Vector of Guided Projectile Attitude Based on Hermite Interpolation

The angular incremental extraction accuracy has a significant effect on the attitude resolving accuracy in the attitude algorithm of guided projectiles. A Hermite interpolation-based extraction algorithm of two-sample angular increment is presented, and the coefficient of Hermite interpolation formula is optimized further. Then a Hermite interpolation algorithm for two-sample angular increment extraction is proposed. In the cone dynamic environment, the proposed algorithm is compared with the Lagrange interpolation three-sample angular increment extraction algorithm. The results show that the accuracy of attitude estimation using the proposed algorithm is better than that of Lagrange interpolation. The optimization of the Hermite interpolation is more suitable for the actual situation of guided projectile attitude algorithm. The algorithm not only adapts to the high dynamic environment of projectile, but also reduces the sampling frequency of attitude updating under the same precision condition and reduces the requirement of navigation computer.