基于区间分析的航天器轨迹全局优化方法

项目名称： 基于区间分析的航天器轨迹全局优化方法

项目编号： No.11272028

项目类型： 面上项目

立项/批准年度： 2013

项目学科： 数理科学和化学

项目作者： 朱宏玉

作者单位： 北京航空航天大学

项目金额： 78万元

中文摘要： 航天器轨迹优化技术一直是航天任务总体设计的一项关键技术。随着新型航天任务的开展和相关技术的突破，航天器轨迹优化也不断呈现出新的特点和难点，因此其研究方法和技术途径也需要被不断发展完善。 本项目提出基于区间分析的航天器轨迹全局优化方法。理论上，航天器轨迹优化问题都可以转化为非线性规划问题。区间分析优化方法是一种基于Lipschitz条件的确定性的全局优化算法，它可以保证非凸非线性规划问题的全局最优解。本项目分别建立了脉冲、定常推力、可变比冲推力和空间环境非保守力作用下的航天器轨迹优化模型，利用区间分析优化方法求解各种约束条件下的航天器轨迹优化问题的全局最优解，并与传统的方法进行比较分析。 本项目的研究成果不但可以促进区间分析理论和应用的发展，也为我国当前和未来空间任务中的航天器轨迹优化问题提供一种新的技术思路。

中文关键词： 轨道转移/交会；区间分析；全局优化；非凸不连续问题；最优控制

英文摘要： Spacecraft trajectory optimization is one of the key technologies in the overall design of space mission. Many new characteristics and difficulties of spacecraft trajectory optimization have arisen with the evolvement of new space tasks and relevant technologies. Therefore, the research method and technique for spacecraft trajectory optimization need to been developed. In this project, a global optimal method based on interval analysis is introduced for spacecraft trajectory optimization which can be transferred to a nonlinear programming problem. Interval analysis based optimal method is a deterministic global optimal means under Lipschitz condition and provides the guarantee that the globally optimal solution is found in the non-convex nonlinear programming problem. Different spacecraft trajectory optimization models with impulsive control, constant thrust control, variable specific impulse trust control, and space non-conservative force control are presented respectively in this project. Interval analysis based optimal method is utilized to solve the globally optimal solutions for the spacecraft trajectory optimization problems with different constraints. The results by the new method are compared with those by conventional methods. The research achievements in this project not only promote the development

英文关键词： Orbital transfer/rendezvous；Interval analysis；Global optimization；Non-covex discontinuous problem；Optimal control