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针对小推力轨迹优化这一难点和热点问题,提出了一种在直接法的基础上进一步提高优化结果的改进方法。分析了直接法在离散后存在求解维度较高的不足,借鉴了间接法推导出的最优解必要条件,提出了推力仅取最大值或零的取值改进方法。通过多次优化计算,根据产生速度增量需要的能量来确定推力和追击时间的取值范围,缩减了直接法的求解维度。最后进行了数值仿真,改进方法计算得到的优化指标高于直接法结果,表明该改进方法优于直接法。
In view of the difficulty and hotspot of small thrust trajectory optimization, an improved method based on direct method is proposed to further improve the optimization results. This paper analyzes the shortcomings of the direct method after the discretization, and takes the necessary conditions of the optimal solution deduced from the indirect method, and proposes a method of improving the value of the maximum or zero of the thrust. Through multiple optimization calculations, the range of values of thrust and chase time are determined according to the energy required to generate the incremental velocity, and the solution dimension of the direct method is reduced. Finally, the numerical simulation is carried out. The optimization index calculated by the improved method is higher than the direct method, which shows that the improved method is better than the direct method.