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基于伪谱法的小天体最优下降轨迹优化方法
袁旭1,2,3, 朱圣英1,2,3
1.北京理工大学 深空探测技术研究所, 北京 100081;2.深空自主导航与控制工信部重点实验室, 北京 100081;3.飞行器动力学与控制教育部重点实验室, 北京 100081
摘要:
针对小天体着陆探测下降阶段的多约束轨迹优化问题,基于Gauss伪谱法进行了燃耗最优下降轨迹优化设计,得出了燃耗最优下降轨迹。建立了小天体下降轨迹优化问题的最优控制问题模型,采用Gauss伪谱法进行离散化,转化为非线性规划问题进行了求解。数学仿真结果显示:优化结果符合各项约束条件,以零速度到达了目标着陆点,且符合燃耗最优的优化目标。利用Gauss伪谱法进行小天体最优下降轨迹优化,计算速度快,求解精度高。
关键词:  小天体;下降;着陆;轨迹优化;Gauss伪谱法
DOI:10.15982/j.issn.2095-7777.2016.01.008
分类号:
基金项目:国家重点基础研究发展计划“973”项目(2012CB720000);国家自然科学基金资助项目(61374216,61304226,61304248);教育部博士点基金(20121101120006)
Small Body Descent Trajectory Optimization Based on Pseudospectral Method
YUAN Xu1,2,3, ZHU Shengying1,2,3
1.School of Aerospace Engineering, Beijing Institute of Technology, Beijing 100081, China;2.Key Laboratory of Autonomous Navigation and Control for Deep Space Exploration, Ministry of Industry and Information Technology, Beijing 100081, China;3.Key Laboratory of Dynamics and Control of Flight Vehicle, Ministry of Education, Beijing 100081, China
Abstract:
Aimed at the multiple-constraint trajectory optimization problem in the descent phase of small body landing exploration, Gauss pseudospectral method is used for the optimization design and the fuel-optimal descent trajectory is derived. The optimal control model of small body descent trajectory optimization problem is established and discretized using Gauss pseudospectral method. The problem is then solved by transforming into a nonlinear programming problem. Mathematical simulation results show that all the constraints are satisfied, the optimization index of fuel consumption is minimized and the spacecraft reaches the target landing site with zero velocity. Using Gauss Pseudospectral method, the computation process of small body descent trajectory optimization is fast and has high solution accuracy.
Key words:  small body;descent;landing;trajectory optimization;Gauss pseudospectral method