伪谱法求解深空探测小推力轨道

• 作 者: 蒋瑞晔 晁涛 王松艳 杨明
• 机 构: 哈尔滨工业大学,
• 出 处: 系统仿真学报
• 发表日期: 2017年09期
• 关键词: pseudospectral method indirect method GPOPS solver initial values of costate var

采用伪谱法完成深空探测小推力轨道的局部轨道优化问题。介绍小推力轨道的动力学方程及间接法设计思想,给出伪谱法求解的步骤。选用GPOPS求解器(General Pseudospectral Optimal Control Software)设计小推力优化轨道,得到性能指标为时间最优、燃料最优及能量最优条件下的小推力轨道,利用GPOPS求解器解得的协态变量初值,进行局部轨道优化的间接法求解。将直接法和间接法得到的小推力局部优化轨道进行比较,证明了GPOPS求解器进行深空探测局部轨道优化的可行性。

Using Pseudo - spectral Method to Complete Local Orbit Optimization of Small Thrust Orbit in Deep Space Exploration. The dynamic equations of small thrust orbit and the design method of indirect method are introduced, and the steps of solving the pseudo-spectral method are given. The GPOPS solver was used to design a small thrust optimization trajectory to obtain the small thrust trajectory whose performance index is the optimal time, the fuel optimum and the energy optimum. The covariate variables solved by the GPOPS solver Value, the local track optimization indirect method to solve. The comparison of small thrust local optimization orbit obtained by direct method and indirect method shows that GPOPS solver is feasible for local orbit exploration of deep space exploration.