Periodic Orbits of Nonlinear Relative Dynamics and Satellite Formation
Periodic Orbits of Nonlinear Relative Dynamics and Satellite Formation
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DOI：
10.2514/1.41438
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发表时间：
2009-07
影响因子：
2.6
通讯作者：
M. Bando;A. Ichikawa
中科院分区：
文献类型：
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作者：
M. Bando;A. Ichikawa
研究了基于非线性相对动力学沿着圆轨道的周期轨道的主从编队与重构问题。首先，共面和非共面相对轨道的初始条件的特点是初始真异常，平均运动，半长轴，偏心率，和倾角的从动惯性轨道。基于Hill―Clohessy―Wiltshire方程零能控性的消失能量性质，利用线性二次型调节器理论设计了L1次优反馈控制器.给出了三个实例的仿真结果。与基于Hill―Clohessy―Wiltshire方程周期轨道的重构问题的比较表明，用非线性周期轨道代替重构问题并不增加反馈控制的L1范数.
In this paper, leader―follower formation and reconfiguration problems based on the periodic orbits of the nonlinear relative dynamics along a circular orbit are considered. First, initial conditions of coplanar and noncoplanar relative orbits are characterized by the initial true anomaly, mean motion, semimajor axis, eccentricity, and inclination angle of the follower's inertial orbit. Based on the property of null controllability with vanishing energy of the Hill―Clohessy―Wiltshire equations, L 1 suboptimal feedback controllers are designed via the linear quadratic regulator theory. Simulation results for three examples are given. A comparison with the reconfiguration problem based on the periodic orbits of the Hill―Clohessy―Wiltshire equations shows that replacement by nonlinear periodic orbits does not increase the L 1 -norm of the feedback control.