Controllability of an underactuated spacecraft with one thruster under disturbance

作     者：Dong-Xia Wang Ying-Hong Jia Lei Jin Hai-Chao Gui Shi-Jie Xu 

作者机构：Department of GuidanceNavigation and ControlSchool of AstronauticsBeihang University100191 BeijingChina 

出 版 物：《Acta Mechanica Sinica》 (力学学报（英文版）)

年 卷 期：2012年第28卷第3期

页      面：838-847页

核心收录：

学科分类：0711[理学-系统科学] 07[理学] 08[工学] 0802[工学-机械工程] 081101[工学-控制理论与控制工程] 0811[工学-控制科学与工程] 080201[工学-机械制造及其自动化] 071102[理学-系统分析与集成] 081103[工学-系统工程] 

基　　金：supported by National Natural Science Foundation of China (10902003) 

主　　题：Underactuated spacecraft Periodical oscilla tion disturbance. Controllability. Weakly positively poissonstable ~ Lie algebra 

摘      要：For an underactuated spacecraft using only one thruster, the attitude controllability with respect to the or- bit frame is studied in the presence of periodical oscillation disturbance, which provides a preconditional guide on de- signing control law for underactuated attitude control sys- tem. Firstly, attitude dynamic model was established for an underactuated spacecraft, and attitude motion was described using the special orthogonal group （SO （3））. Secondly, Liou- ville theorem was used to confirm that the flow generated by the drift vector of the underactuated attitude control system is volume-preserving. Furthermore, according to Poincar6＇s re- currence theorem, we draw conclusions that this drift field is weakly positively poisson stable （WPPS）. Thirdly, the suffi- cient and necessary condition of controllability was obtained on the basis of lie algebra rank condition （LARC）. Finally, the controllable conditions were analyzed and simulated in different cases of inertia matrix with the installed position of thruster.