高超声速飞行器再入突防轨迹快速优化

针对含路径点和禁飞区约束的再入突防轨迹快速优化问题，提出了一种基于自适应hp 伪谱法的多阶段求解策略. 给出了含路径点、禁飞区、热流、过载、动压等约束条件的轨迹优化模型，利用Radau伪谱法将最优控制问题转化为非线性规划问题. 引入内点（连接点）概念，将路径点、禁飞区转化为内点约束，统一于一个优化框架内，结合自适应节点配置方式，在通用优化软件包内实施这一思想. 仿真结果表明，该方法能够更精确地捕捉状态变量、控制变量的不连续性、非平滑性及禁飞区的边界切点，适合求解含路径点和禁飞区的突防轨迹快速优化问题.

Rapid Optimization of Penetration Trajectory for Hypersonic Reentry Vehicle

For penetration trajectory optimization of reentry vehicle with constraints of waypoints and no-fly zones, a multi-phase optimization strategy based on adaptive hp pseudospectral method is proposed. The trajectory optimization model considering waypoints, no-fly zones, heating rate, g-load and dynamic pressure
is given. The associated optimization is converted into a nonlinear programming problem by using the Radau pseudospectral method. The concept of linkage nodes is introduced to deal with constraints of waypoints and no-fly zones. Combined with adaptive distribution of nodes, the above idea is implemented with general pseudospectral optimization software. Simulation results show that the proposed method can capture any discontinuities and smoothness in states and control variables as well as the boundary of no-fly zones, and adapt to solve the optimization problem of penetration trajectory with waypoints and no-fly zones.