用高精度配点法进行弹道优化

TRAJECTORY OPTIMIZATION USING COLLOCATION BASED ON HIGH ORDER GAUSS LOBATTO QUADRATURE RULES

关键词:  轨道转移  转移轨道计算  最优设计  数值计算

Key words:  Orbital transfer  Transfer orbit calculation  Optimum design  Numerical calculation

摘要:

讨论了一种基于高阶Ｇａｕｓｓ－ＬｏｂａｔｏＱｕａｄｒａｔｕｒｅ定律的最优控制直接解法，使用这种方法求解了不可变推力和可变推力两种情况下空间变轨的最优化过程，给出算例，进行了讨论

Abstract:

The direct optimization using collocation based on high order Gauss Lobatto Quadrature rules was discussed.It is a high accuracy and small calculation method.Presently,relative low order rules from the Guass Lobatto rules,such as the trapezoid and Simpson method,were used to construct collocation solution schemes.The advantages of high order scheme are more accuracy and less subintervals which make calculation more quickly.Trajectory optimizations were calculated and several key problems were discussed