基于序列凸优化的高超声速飞行器协同再入轨迹规划

Cooperative Reentry Trajectory Planning of Hypersonic Vehicle Based on Sequential Convex Programming

面向高超声速飞行器协同飞行任务需求,提出了一种基于序列凸优化的协同再入轨迹规划方法。综合考虑飞行动力学、热流、过载、动压、禁飞区与避碰约束,建立了协同轨迹规划最优控制模型。通过线性化与离散化将原问题模型转化为凸优化问题模型。提出了一种信赖域更新策略,在迭代过程中根据性能指标自适应调整信赖域半径,在保证求解精度的前提下提高了序列凸优化算法的收敛速度。仿真结果表明:该方法的求解效率和轨迹结果的最优性均优于传统的伪谱法。

In order to satisfy the requirements of hypersonic cooperative flight mission,a cooperative reentry trajectory planning method based on sequential convex programming(SCP)is proposed.Considering the complex constraints including dynamics,heat flux,normal load,dynamic pressure,no-fly zones and inter-vehicles collision avoidance,optimal control model for cooperative trajectory planning is formulated.The optimal model is approximated to a convex optimization by linearization and discretization methods.To ensure the accuracy and improve the convergency of SCP,a trust-region updating strategy is proposed,which can modify the radius of trust-region self adaptively according to each iteration’s performance index.Numerical simulations results show that the proposed method can acquire the cooperative reentry trajectories with better efficiency and optimality than traditional pseudospectral methods.