一种用于连续推力航天器燃料最优轨迹优化的协状态初始化方法  

Fuel-optimal trajectory indirect optimization for orbit transfer using an initial guess generation method

作　　者：诸葛运成 任飞 李安庆 王叶 ZHUGE Yuncheng;REN Fei;LI Anqing;WANG Ye(School of Mechanical Engineering,Qilu University of Technology(Shandong Academy of Sciences),Jinan 250353,China;School of Bioengineering,Qilu University of Technology(Shandong Academy of Sciences),Jinan 250353,China)

机构地区：[1]齐鲁工业大学(山东省科学院)机械工程学院,山东济南250353 [2]齐鲁工业大学(山东省科学院)生物工程学院,山东济南250353

出　　处：《齐鲁工业大学学报》2023年第5期19-27,共9页Journal of Qilu University of Technology

基　　金：国家自然科学基金(12202220);山东省自然科学基金(ZR2022QA046)。

摘　　要：研究了连续推力航天器轨道转移燃料最优轨迹优化问题。考虑到实际工程需求,将3个方向的推力控制分开进行独立优化。使用间接优化方法,利用同伦法将能量最优解过渡至燃料最优解,以克服bang-bang控制造成的不平滑积分问题。针对间接法的初值敏感问题,基于简化的动力学模型提出一种初始化方法,可以快速生成高质量的协状态初始猜测值,提高收敛性。数值仿真结果表明,利用此初始化方法生成的初始猜测值可以求得收敛且可行的能量最优解和燃料最优解,验证了此初始化方法的可行性与高效性。In this paper,the fuel-optimal trajectory of orbit transfer with multiple specific-direction thrusts is studied.The indirect optimization method is applied to optimize fuel consumption.To overcome the difficulty in nonsmooth integration caused by the bang-bang control,the homotopy method is adopted to solve the fuel-optimal problem from a related energy-optimal problem.An initial guess generation method is designed based on a simplified dynamical model to overcome the difficulty in providing the initial guesses for co-states.Numerical simulation is presented,the results show that the initial guess obtained by the method provided in this paper is more probable and easier to converge.The validity and efficiency of this initial guess generation method are verified.

关 键 词：轨迹优化 间接法 同伦法 初始猜测值 BANG-BANG控制 

分 类 号：V412.41[航空宇航科学与技术—航空宇航推进理论与工程]