控制一类磁性刚体航天器的混沌姿态运动

Controlling Chaotic Attitude Motion of a Magnetic Rigid Spacecraft

本文研究一类磁性航天器的混沌姿态运动及其控制。建立了在近地球赤道面圆轨道上运动受万有引力矩、磁力矩作用磁性刚体航天器姿态运动的动力学方程。采用时间历程、Poincare截面、Lyapunov指数和功率谱对系统的动力学行为进行数值识别,结果表明随着磁场参数的增大系统动力学行为由准周期环面破裂而出现混沌。利用输入—输出反馈精确线性化的方法将航天器的混沌姿态运动控制为姿态静止和按给定的周期规律运动,数值结果表明该控制方法的有效性。

In this paper, the chaotic attitude motion of a magnetic rigid spacecraft and its control were studed. The dynamical equation of a magnetic rigid spacecraft in both the gravity and magnetic field moving in a circular orbit near the equatorial plane of the earth was established. The dynamical behaviors were numerically investigated by means of time history, Poincare map, power spectrum and Lyapunov exponents. Numerical simulations indicate that the onset of chaos is characterized by break of quasiperiodic torus as the increase of the torque of the magnetic forces. The exact linearization method with input-output feedback was applied to control chaotic attitude motion to the given fixed point and periodic motion. The numerical results show the effectiveness of the approach.