基于Gauss伪谱方法的高超声速飞行器再入轨迹快速优化

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。

Rapid Trajectory Optimization for Hypersonic Reentry Vehicle Via Gauss Pseudospectral Method

Trajectory optimization of a hypersonic glide-reentry vehicle is studied via a new optimal control method-Gauss Pseudospectral Method(GPM).A pipeling-segmenting strategy is proposed to deal with the difficulties in optimization of long-rang trajectory with several path constraints.The strategy includes:(1) The Initial Guess Generator(IGG) is constructed to present a property initial value with a near optimal solution;(2) A pipeling optimization framework is adopted to obtain the optimal solution from a feasible solution;(3) The whole reentry trajectory is dynamically divided into initial descending phase and glide phase by imposing the equilibrium glide condition.The precision and efficiency of this trajectory optimization method are demonstrated by applying it to a hypersonic reentry vehicle.