复杂力场中磁性刚体航天器混沌姿态运动的控制

提出了压缩映射-参数微扰方法应用于控制受地球磁场和万有引力场共同作用，具有结构内阻尼的磁性刚体航天器在接近地球赤道面的圆轨道上的混沌姿态运动．利用压缩映射和线性逼近产生一个参数微扰反馈序列，使混沌轨道稳定在嵌入混沌吸引子内的一个不稳定周期轨道上，实现将混沌运动转化为周期运动．混沌吸引子中不稳定周期不动点以及雅可比矩阵的近似计算利用了闭回路对的观测信息．压缩常数可在(-1，1)内灵活选取，给出了保证最优控制过程的压缩常数．数值计算结果证实了此方法在控制复杂力场中航天器混沌姿态运动的有效性．

Control of Chaotic Attitude Motion of a Magnetic Rigid Spacecraft in Complex Force Fields

A method based on the application of contraction mapping theorem and tiny parameter perturbation was proposed and applied to the control of the chaotic attitude motion of a magnetic rigid spacecraft in complex force fields. The chaotic motion can be controlled to a regular motion via stabilization of the chaotic orbit onto an unstable periodic orbit embedded within the chaotic attractor. The contraction constant can be chosen in (-1,1) flexibly and the suitable contraction constant ensuring an optimal control process was given. The effectiveness of the suggested method is verified by numerical results.