Multi-revolution low-thrust trajectory optimization using symplectic methods

作     者：E ZhiBo GUZZETTI Davide E ZhiBo;GUZZETTI Davide

作者机构：School of Aerospace EngineeringTsinghua UniversityBeijing 100084China Department of Aerospace EngineeringAuburn UniversityAuburn AL 36849USA 

出 版 物：《Science China(Technological Sciences)》 (中国科学（技术科学英文版）)

年 卷 期：2020年第63卷第3期

页      面：506-519页

核心收录：

学科分类：080703[工学-动力机械及工程] 07[理学] 08[工学] 070105[理学-运筹学与控制论] 071101[理学-系统理论] 0810[工学-信息与通信工程] 0711[理学-系统科学] 082502[工学-航空宇航推进理论与工程] 0807[工学-动力工程及工程热物理] 0805[工学-材料科学与工程（可授工学、理学学位）] 0825[工学-航空宇航科学与技术] 081101[工学-控制理论与控制工程] 0701[理学-数学] 0811[工学-控制科学与工程] 0702[理学-物理学] 0812[工学-计算机科学与技术（可授工学、理学学位）] 

基　　金：supported by the National Natural Science Foundation of China(Grant Nos.11672146,11432001) the 2015 Chinese National Postdoctoral International Exchange Program 

主　　题：low-thrust trajectory optimization symplectic method multi-revolution transfers 

摘      要：Optimization of low-thrust trajectories that involve a larger number of orbit revolutions is considered as a challenging *** paper describes a high-precision symplectic method and optimization techniques to solve the minimum-energy low-thrust multi-revolution orbit transfer problem. First, the optimal orbit transfer problem is posed as a constrained nonlinear optimal control problem. Then, the constrained nonlinear optimal control problem is converted into an equivalent linear quadratic form near a reference solution. The reference solution is updated iteratively by solving a sequence of linear-quadratic optimal control sub-problems, until convergence. Each sub-problem is solved via a symplectic method in discrete form. To facilitate the convergence of the algorithm, the spacecraft dynamics are expressed via modified equinoctial elements. Interpolating the non-singular equinoctial orbital elements and the spacecraft mass between the initial point and end point is proven beneficial to accelerate the convergence process. Numerical examples reveal that the proposed method displays high accuracy and efficiency.