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月球软着陆是月球探测中的一项关键技术.针对这项技术,提出基于直接配点法和GA-SQP法的月球软着陆轨道优化算法.算法通过建立月球软着陆动力学模型并进行归一化处理,利用直接配点法将月球软着陆轨道优化问题离散为非线性规划问题,应用SQP方法可求解该优化问题.同时考虑到SQP方法对初值敏感、收敛半径小及容易陷入局部极值等不足,提出了应用GA为SQP方法提供迭代初值的算法,提高了算法的稳定性.最后给出了相关的仿真结果.
The lunar soft landing is one of the key technologies in lunar exploration.In this paper, we propose a lunar soft landing trajectory optimization algorithm based on the direct collocation method and the GA-SQP method.The algorithm establishes the lunar soft landing dynamic model and normalizes , The problem of lunar soft landing orbit optimization is discretized as a nonlinear programming problem by direct collocation method and the SQP method can be used to solve the optimization problem.At the same time the SQP method is sensitive to the initial value and the convergence radius is small and easy to fall into the local extreme , An algorithm of using GA to provide iterative initial value for SQP method is proposed to improve the stability of the algorithm.Finally, the related simulation results are given.