南京航空航天大学学报2012，Vol.44Issue(5)：663-668,6.
绳系卫星系统周期运动的分岔与镇定
Periodic Motion Bifurcation and Stabilization of Tethered Satellite System
摘要
Abstract
The nonlinear dynamics of tethered satellite system is studied for the attitude motion of mother satellite. Firstly, the planar dynamical model of two degree-of-freedom is established for a tethered satellite system moving in an elliptical orbit during station-keeping phase. The periodic motion is obtained by performing the perturbation analysis with the orbital eccentricity as a small parameter. Afterwards , the stability of the periodic motion is analyzed using Floquet theory. The effect of the parameters of the system on the bifurcations of periodic motion is revealed numerically. It is found that the coupled attitude and pitch dynamics causes the co-existence of quasi-periodic motions, and yields the chaotic motion as increasing the size of the mother satellite. Finally, a linear velocity feedback control scheme is successfully applied to stabilize chaotic motion.关键词
绳系卫星系统/姿态/周期运动/分岔/镇定Key words
tethered satellite system/ attitude/ periodic motion/ bifurcation/ stabilization分类
航空航天引用本文复制引用
金栋平,庞兆君,余本嵩..绳系卫星系统周期运动的分岔与镇定[J].南京航空航天大学学报,2012,44(5):663-668,6.基金项目
国家自然科学基金(50875124)资助项目 （50875124）
长江学者和创新团队计划(IRT0968)资助项目 （IRT0968）
高校基础研究(NS2012034)资助项目. （NS2012034）
