基于边界交叉法的高超声速滑翔飞行器多目标轨迹优化研究

针对高超声速滑翔飞行器复杂约束条件下多目标轨迹设计问题，基于边界交叉法和伪谱法提出了其多目标轨迹优化方法。首先，分析了高超声速滑翔飞行器复杂约束轨迹优化问题的特点，提出了多目标轨迹优化问题。然后，采用边界交叉法和伪谱法将多目标轨迹优化问题转化为一组单目标优化子问题，利用非线性规划算法分别求解。在优化过程中，将已求解子问题的解作为下一个子问题的初始值。利用上述方法求解了最大横程和最小峰值热流轨迹优化问题，仿真结果表明：本文方法能够有效搜索到优化轨迹的Pareto前沿，可以为高超声速滑翔飞行器轨迹设计提供参考。

Multi-objective Trajectory Optimization for Hypersonic Glide Vehicle Based on Boundary Intersection Method

The trajectory designs for hypersonic glider vehicle subject to complex constraints are multi-objective trajectory optimization problem. A multi-objective trajectory optimization method combining the boundary intersection method and pseudospectral method is proposed in this paper. The multi-objective trajectory optimization problem (MTOP) is established based on the analysis of the feature of trajectory for hypersonic glider vehicle. The MTOP is translated into a set of general optimization subproblems by using the boundary intersection method and pseudospectral method. The subproblems are solved by nonlinear programming algorithm. In the method, the solution that has been solved is employed as the initial guess for the next subproblem. The maxima cross range and minimal peak heat problem is solved by the proposed method. The numerical results demonstrated that the proposed method can obtain the Pareto front of the optimal trajectory, which can provide the reference for the trajectory design for hypersonic glider vehicle.