任意椭圆轨道上磁性航天器姿态运动中的混沌及其控制

Chaos and its controling attitude motion of a magnetic rigid spacecraft in an arbitrary elliptic orbit

研究在具有内阻尼的磁性刚体航天器在椭圆轨道上平面天平动的混沌及其控制.建立了系统的动力学方程.应用Melnikov方法建立了系统存在横截异宿环的条件.分别采用Poincare映射和Lyapunov指对系统混沌运动进行识别.采用输出变量反馈线性化控制律及其局部线性化将混沌姿态运动控制为给定的静止状态和周期运动.

Chaos and its control in the planar libration of a magnetic rigid spacecraft with internal damping in an elliptic orbit are investigated.The dynamical model of the problem is established.The Melnikov analysis is carried out to obtain the existence condition of transverse heteroclinic cycle.The motions are numerically identified by means of Poincare map and Lyapunov exponents.The input_output feedback linearization method and its modified version are respectively applied to control chaotic attitude motions to the given attitude rest and the periodic motion.