基于改进的序列梯度–修复算法的飞行器上升段轨迹优化

An Improved Gradient-Restoration Sequential Algorithm for Endoatmospheric Ascent Trajectory Optimization

摘要: 针对飞行器大气层内上升段轨迹优化问题，提出了一种改进的序列梯度–修复算法。根据序列梯度–修复算法仅可以处理等式约束的特点，给出了不等式过程约束的转化过程，同时为了解决飞行器大气层内上升段运动数学模型的强非线性带来的状态量求解更新困难的难题，引入了状态积分，改进了算法的更新方法，最后对改进的算法在飞行器大气层内上升段轨迹优化中的实用性进行了仿真分析。仿真结果表明改进的序列梯度–修复算法能够较好的获得满足末端约束和过程约束的大气层内上升段的最优轨迹，具有较强的适应性。

Abstract: An improved sequential gradient-restoration algorithm is developed to solve endoatmospheric ascent trajectory optimization problem. First, the transformation process of trajectory constraints is introduced to accommodate the character that sequential gradient-restoration algorithm can deal with equation constraints only. Then the state integral method is introduced and the update method of the sequential gradient-restoration algorithm is improved to deal with the problem of state solve and update, due to the strong nonlinearity of endoatmospheric ascent dynamics. Finally, the simulation analysis of the improved algorithm ascent trajectory optimization in aircraft atmosphere of practicability is analyzed through simulation under five different scenarios. Simulation results demonstrate the validity and adaptability of the improved algorithm for trajectory optimization with terminal constraints and process constraints.