基于HP-RPM的高超声速滑翔飞行器轨迹优化

HP-RPM based trajectory optimization for hypersonic glide vehicle

针对含有航路点、禁飞区约束的再入突防轨迹优化问题,提出了基于HP自适应Radau伪谱法(HP-RPM)的分段轨迹优化策略,给出了在含有热流密度、过载、动压、航路点和禁飞区等约束条件下的再入轨迹优化模型;利用HP-RPM对含有再入的最优控制问题进行离散化,将其转为非线性规划问题,并根据航路点所在的位置,对再入轨迹进行分段,以再入滑翔飞行的时间最短为仿真目标函数进行仿真计算。仿真结果表明,此方法可以生成一条满足多种约束条件的高精度优化轨迹,并且用时较短。

For penetration trajectory optimization of reentry vehicle with constraints of waypoints and no-fly zones,trajectory optimization strategy based on the adaptive HP Radau pseudospectral method（ HPRPM） is proposed. The trajectory optimization model considering waypoints,no-fly zones,heating rate,overload and dynamic pressure is given. Use the HP adaptive Radau pseudospectral method for discretization the optimal control problem into a nonlinear planning problem,segment the reentry trajectory based on the waypoint location and with the shortest reentry gliding flight time as the objective function for the simulation calculation. Simulation results show that the method can generate a high precise optimal trajectory that meets the requirements of various constraints in a short time.