Fuel-Optimal Trajectory Planning for Lunar Vertical Landing  

作　　者：Kun Wang Zheng Chen Jun Li 

机构地区：[1]School of Aeronautics and Astronautics,Zhejiang University Hangzhou 310027,P.R.China

出　　处：《Guidance, Navigation and Control》2024年第2期123-140,共18页制导、导航与控制（英文）

基　　金：supported by the National Natural Science Foundation of China under grant Nos.61903331 and 62088101.

摘　　要：In this paper we consider a trajectory planning problem arising from a lunar vertical landing with minimum fuel consumption.The vertical landing requirement is written as a final steering angle constraint,and a nonnegative regularization term is proposed to modify the cost functional.In this way,thefinal steering angle constraint will be inherently satisfied according to Pontryagin's Minimum Principle.As a result,the modified optimal steering angle has to be determined by solving a transcendental equation.To this end,a transforming procedure is employed,which allows forfinding the desired optimal steering angle by a simple bisection method.Consequently,the vertical landing trajectory can be found offline by the indirect shooting method.Finally,some numerical examples are presented to demonstrate and verify the developments of the paper.

关 键 词：Lunar exploration vertical soft landing final control constraint trajectory optimization indirect shooting method 

分 类 号：V476.3[航空宇航科学与技术—飞行器设计]