基于形状规划理论的小行星探测方法

摘要

小推力轨迹优化过程的控制率设计是典型的非线性动力学最优控制问题.针对具体的问题背景,直接优化算法和间接优化算法已被广泛应用.为了简化问题的优化模型,采用形状规划理论来模拟小推力的作用轨迹,将动力学最优控制问题转化成多项式的参数优化.结合小行星群的探测,利用粒子群优化与微分进化混合优化算法进行全局优化,为满足精度要求,再采用模式搜索局部优化算法进行二次优化.%Design of control rate during low-lhrust trajectory optimization process is a typical optimal control problem in nonlinear dynamics. Aiming at specific problems, direct or indirect optimal algorithms are applied widely. For simplifying the optimal problem model, shape programming theory is adopted to simulate the low-thrust action trajectory. So that dynamics optimal control problems is transformed to polynomial parameter optimization. Combined with asteroid group exploration, a hybrid optimization algorithm PSO-DE (particle swarm optimization & differential evolution) is utilized to resolve parameters. And finally a pattern searching local optimization algorithm is used for quadratic optimization to satisfy the precision demand.