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基于一种求解最优控制问题的新方法—Gauss伪谱法(Gauss Pseudospectral Method-GPM),研究了高超声速飞行器滑翔式再入的快速轨迹优化问题。针对远程多约束条件下滑翔式再入轨迹优化问题的难点,提出了基于GPM的串行分段优化策略,包括三个方面:(1)构造了设计变量初值生成器,获得近似最优解作为优化初值;(2)提出从可行解到最优解的串行优化策略;(3)引入平衡滑翔条件构造动态分段点,将再入轨迹分为初始下降段和滑翔段分别求解。以某高超声速再入飞行器为对象进行轨迹优化计算,仿真结果验证了本文的轨迹优化方法具有较高的精度和计算效率。
Based on Gauss Pseudospectral Method-GPM, a new method to solve the optimal control problem, the fast trajectory optimization of hypersonic gliding reentry is studied. Aiming at the difficulty of gliding re-entry trajectory optimization under long-range and multi-constraint conditions, a GPM-based serial segmentation optimization strategy is proposed, which includes three aspects: (1) Constructing the initial value generator of design variables and obtaining the approximate optimal solution As the initial value of optimization; (2) Propose a serial optimization strategy from feasible solution to the optimal solution; (3) Introduce the equilibrium gliding conditions to construct the dynamic segmentation points, and divide the reentry trajectory into initial descent and gliding segments respectively. The trajectory optimization calculation is performed on a hypersonic reentry vehicle. The simulation results verify that the trajectory optimization method in this paper has high accuracy and computational efficiency.