一种基于伪谱法的助推-补能跳跃滑翔轨迹优化方法

A Trajectory Optimization Method for Boost-energy Supplementing Skip Gliding Motion Base on Pseudospectral Method

针对大气层边缘补能-跳跃滑翔运动,建立了一种助推-补能跳跃滑翔全程空间运动模型以及补能滑翔段无量纲运动方程。提出了一种基于Gauss伪谱法的动态分段串行优化策略,可对助推段俯仰程序角、补能-跳跃滑翔段飞行攻角、倾侧角以及补能时刻等轨迹控制变量进行求解,实现含连续/离散控制变量的轨迹优化一体化设计。分别对助推-补能跳跃滑翔和助推-拟平衡滑翔轨迹优化开展仿真,验证了针对补能-跳跃滑翔轨迹的分段串行优化策略的有效性,同时分析了相同助推规模和飞行器质量条件下,补能跳跃轨迹相较拟平衡滑翔轨迹在增大飞行时间、航程和机动过载能力上更具优势。

Aiming at the energy-supplementing-jump gliding motion at the edge of the atmosphere,a whole space motion model of boost-energy-supplementing skip gliding and the dimensionless motion equation of energy-supplementing gliding stage is established.A dynamic piecewise serial optimization strategy based on Gauss pseudospectral method is proposed,which can efficiently solve the pitching program angle in boost stage,flight angle of attack in complementary energy-jump gliding stage,bank angle and energy supplementing time,and realize the integrated trajectory optimization design with continuous/discrete control variables.Simulations are carried out on the trajectory optimization of boost-energy supplementing skip gliding and quasi-equilibrium glide respectively,and the effectiveness of the segmented serial optimization strategy for boost-compensated jump glide trajectory is verified.At the same time,it is analyzed that the jump trajectory with supplemented energy has more advantages than the quasi-equilibrium glide trajectory in increasing flight time,range and maneuvering g-load ability under the same boost scale and aircraft mass.