摘要
采用基于误差线性系统稳定性准则的混沌控制方法,控制具有结构内阻尼的磁性刚体航天器在重力场与磁场共同作用下在圆形轨道的混沌姿态运动.讨论了航天器姿态运动方程中部分参数的取值对于运动姿态的影响,给出了这些参数通过倍周期分岔或逆倍周期分岔通往混沌的途径.当参数使系统做混沌姿态运动时,采用上述方法将混沌运动控制至周期-4轨道,并实现周期-1、2、4轨道之间转换的灵活控制.此外,分析了控制参数的变化对于控制效果的影响,并分别给出了控制至不同轨道时的输入扰动范围及控制参数范围.仿真结果表明,该方法能够实现混沌姿态运动在预定周期轨道间的灵活控制,且输入扰动量小、控制速度快、具有高精度,从而验证了该方法在航天器混沌姿态运动控制方面的有效性.
A chaotic control method based on the stability criterion (SC method) of deviation linear system is adopted to control the chaotic attitude motion of a magnetic rigid spacecraft with internal damping. The spacecraft is moving in a circular orbit under the combined action of the gravitational field and the magnetic field. The effects of part of the parameters in the spacecraft attitude motion equation are discussed,and the way of these parameters leading to chaos is proposed by period doubling bifurcation or inverse period doubling bifurcation. When the selection of the parameters leads to chaotic attitude motion,by using SC method,the chaotic motion is controlled to the period-4 orbit,and can be converted to period-1,2,4 orbits flexibly. In addition,the influences of the control parameters on control effect are analyzed, and the ranges of the input perturbation and the control parameter to different orbits are obtained,respectively. The simulation results show that the SC method can realize the flexible control of chaotic attitude motion between the desired periodic orbits,and the values of the input perturbation are small,the control speed is fast and the precision is high,verifying the effectiveness of the suggested method in the control of spacecraft chaotic attitude motion.
作者
邢子琦
于洪洁
Xing Ziqi;Yu Hongjie(School of Naval Architecture,Ocean & Civil Engineering, Shanghai Jiao Tong University,Shanghai 200240, China)
出处
《动力学与控制学报》
2019年第2期143-150,共8页
Journal of Dynamics and Control
基金
国家自然科学基金资助项目(11772186)~~
关键词
倍周期分岔
混沌控制
航天器姿态运动
周期轨
线性系统稳定性准则方法控制器
period doubling bifurcation
chaotic control
spacecraft attitude motion
periodic orbit
controller of stability criterion method for linear system
