绳系卫星系统周期运动的分岔与镇定
金栋平，庞兆君，余本嵩
摘要:考虑到绳系卫星系统主星姿态的作用，研究状态保持阶段绳系卫星系统的非线性动力学。首先建立含姿态的绳系卫星姿．仰耦合两自由度非线性动力学模型，通过摄动法解析地获得系统的周期运动，利用Floquet理论分析轨道偏心率对该周期运动稳定性的影响。然后，通过与姿态有关的两个系统参数，对绳系卫星系统周期运动的分岔进行了数值仿真。结果表明，姿态和俯仰运动耦合导致绳系卫星系统产生多个概周期运动并存的复杂动力学行为以及混沌运动。最后，为将混沌运动引导到某个稳定的周期运动上，提出利用线性速度反馈的镇定策略。
关键词：绳系卫星系统；姿态；周期运动；分岔；镇定
Periodic Motion Bifurcation and Stabilization of Tethered Satellite System
Dongping Jin, Zhaojun Pang, Bensong Yu
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.
Keyword：tethered satellite system; attitude; periodic motion; bifurcation; stabilization
原文链接：http://jnuaa.nuaa.edu.cn/ch/reader/create_pdf.aspx?file_no=12nhxb510&year_id=2012&quarter_id=5&falg=1
