Trajectory Design via Convex Optimization for Six-Degree-of-Freedom Asteroid Powered Landing

作     者：Zhang, Yingying Huang, Jiangchuan Cui, Hutao 

作者机构：Harbin Inst Technol Deep Space Explorat Res Ctr Harbin 150001 Peoples R China 

出 版 物：《JOURNAL OF GUIDANCE CONTROL AND DYNAMICS》 (制导、控制和动力学杂志)

年 卷 期：2021年第44卷第4期

页      面：779-792页

核心收录：

学科分类：12[管理学] 1201[管理学-管理科学与工程(可授管理学、工学学位)] 08[工学] 0804[工学-仪器科学与技术] 0825[工学-航空宇航科学与技术] 

基　　金：National Natural Science Foundation of China [61503102  61673057] 

主　　题：Three Degrees of Freedom Asteroids Nonlinear Programming Trajectory Optimization Quaternions Monte Carlo Simulation Pseudospectral Methods Terminal Sliding Mode Near Earth Asteroid Rendezvous Fuel Consumption 

摘      要：This paper presents a convex programming algorithm based on modified Rodrigues parameters for a six-degree-of-freedom asteroid powered landing trajectory design problem. The trajectory design problem is formulated as a nonconvex fuel-optimal control problem with nonlinear coupled translational and rotational dynamics, nonconvex state and control constraints. In order to tackle the fuel-optimal control problem in the convexification framework, the original nonconvex continuous-time optimization problem is converted into a convex discrete-time optimization subproblem by linearizing and discretizing the dynamics and constraints. The effect of the coupling of translational and rotational dynamics on the convexification of nonconvex control constraints is discussed. The successive convexification method of solving a sequence of constrained convex subproblem is used to generate the optimal trajectory. The validity of the proposed algorithm for generating fuel-optimal trajectories and the effect of asteroid gravity on generated trajectories are examined through simulations of landing on different irregular asteroids. The Monte Carlo simulation is performed to examine the calculation performance of the proposed algorithm comparing to the Radau pseudospectral method algorithm and the proposed algorithm with the rotational motion parameterized by quaternions.