在滑翔式高超声速飞行器的再入轨迹优化过程中,针对相邻配点间违反飞行禁飞区约束的问题,提出一种基于自适应检测点的伪谱法。该方法根据最大容许误差,首先以双通道优化策略对离散子区间的个数和区间内的配点数进行自适应调整,再根据飞行禁飞区约束的强度进行检测点自适应设置,在配点和检测点上进行最优控制问题的离散,最后通过非线性规划得出结果。仿真结果表明,该算法计算效率和精度较高,且具有一定鲁棒性。

In the process of reentry trajectory optimization of gliding hypersonic vehicle, a pseudospectral method based on adaptive detection point was proposed to solve the problem of the violation of the constraint of no-fly zone between adjacent distribution points. According to the maximum permissible error, firstly, the method used a two channel optimization strategy to adjust the number of discrete sub intervals and the number of the matching points in the interval, and then the adaptive setting of detection points was carried out according to the strength of the constraints of no-fly zone and the optimal control problem was discretized on the matching point and the detection point. Finally, the result was obtained by nonlinear programming. The simulation results show that the algorithm has high computational efficiency and accuracy, and has a certain robustness.