RLV应急再入轨迹规划问题的动态伪谱法求解

针对可重复使用运载器(RLV)的应急轨迹规划问题，提出了动态伪谱法，实现了目标变更与能力下降情况下的轨迹重构。该方法将应急轨道规划问题转换为动态全局规划问题，基于Legendre-Gauss-Lobatto伪谱法进行了连续最优问题的离散化处理，推导了连续Bolza问题与离散化谱方法的一致性，并基于拉格朗日算子进行了性能指标优化。考虑到非连续最优解的收敛困难，给出了高效的初始配点和动态规划算法。最终的仿真结果表明所提出方法可有效实现再入轨迹重构，适应气动力系统20%的拉偏，且终端约束精度小于10m。

Emergency Reentry Trajectory Planning for Reusable Launch Vehicle Based on Dynamic Gauss Pseudo Spectral

A new dynamic pseudo-spectral method is proposed for the emergency trajectory planning problem of a Reusable Launch Vehicle in this paper，making trajectory reconstruction come true under the condition of target changed or aerodynamic ability decreased. Firstly, the emergency trajectory planning problem is transformed into a globally dynamic planning problem. Secondly, the continuous optimal problem is discretized based on the Legendre-Gauss-Lobatto Pseudo-spectral method. Thirdly, the uniformity between the Pseudo-spectral method and the Continuous Bolza problem is proved. And the performance index is optimized based on Lagrange operator. In consideration of the difficulty of convergence of the non-continuation optimal solution, the high effective initial allocation and the dynamic planning algorithm are proposed. The final numerical simulation results show the effectiveness of the approach to reconfigure the reentry trajectory with the terminal error less than 10m and 20% aerodynamic force bias.