Optimal impulsive relative orbit transfer along a circular orbit
Optimal impulsive relative orbit transfer along a circular orbit
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DOI：
10.2514/1.32820
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发表时间：
2008-07-01
影响因子：
2.6
通讯作者：
Ichikawa, Akira
中科院分区：
文献类型：
--
作者：
Ichimura, Yoshihiro;Ichikawa, Akira
考虑了Hill-Clohessy-Wiltshire方程的相对轨道转移问题，建立了脉冲控制下的开放时间最小燃料问题。特别地，在平面内运动的两个椭圆相对轨道之间，构造了最优三冲量控制器。对于离面运动，得到了最优单脉冲策略。基于这些结果和Hill-Clohessy-Wiltshire方程的零能控性，提出了一种使总速度变化接近最优速度变化的反馈控制器的设计方法.仿真结果表明，所设计的反馈控制器能够实现相对轨道的渐近转移。
The relative orbit transfer problem associated with the Hill-Clohessy-Wiltshire equations is considered, and the open-time minimum-fuel problem with impulsive control is formulated. In particular, between two elliptic relative orbits of the in-plane motion, optimal three-impulse controllers are constructed. For the out-of-plane motion, optimal single-impulse strategies are obtained. Based on these results and the null controllability with the vanishing energy of the Hill-Clohessy-Wiltshire equations, a design method of feedback controllers with a total velocity change close to the optimal one is proposed. It is shown by simulation results that asymptotic relative orbit transfer is fulfilled by the proposed feedback controllers.