Gauss伪谱法的再入可达域计算方法

为了加快优化速度和提高优化质量，提出一种基于Gauss伪谱法的再入可达域计算方法。鉴于再入时一般采用固定的攻角剖面，将攻角作为状态变量，仅对倾侧角进行单变量寻优。优化过程中，再入纵程被视为终端约束，以获取不同纵程下的最大横程，将速度倾角视为过程约束，以消除弹道的跳跃现象。通过仿真，求解出了通用航空飞行器的再入可达域，结果与间接法的理论证明一致。
To reduce calculation time and improve optimization result, a Gauss pseudospectral method was proposed. For the attack angle was regarded as a state variable and only bank angle was optimized, which was reasonable since attack angle profile was often predesigned in engineering. Down-range of vehicle was regarded as event constraint to obtain the maximum cross-range, while the flight path angle was regarded as path constraint to eliminate skips on the trajectory. Through simulation, the footprint of CAV(common aero vehicle) is generated, which is in accordance with the theoretical analysis of the indirect optimization method.