Global Stabilization of Linearized Spacecraft Rendezvous System by Saturated Linear Feedback
Global Stabilization of Linearized Spacecraft Rendezvous System by Saturated Linear Feedback
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DOI：
10.1109/tcst.2016.2632529
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发表时间：
2017-01
影响因子：
4.8
通讯作者：
Bin Zhou;J. Lam
中科院分区：
文献类型：
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作者：
Bin Zhou;J. Lam
研究了执行器饱和条件下圆形轨道航天器交会系统的全局镇定问题。基于线性化的Clohessy-Wiltshire方程，利用绝对稳定性理论中常用的Lyapunov函数，设计了一类饱和线性状态反馈控制器。通过给出反馈增益中参数的显式条件，证明了所提出的饱和线性反馈闭环系统的全局稳定性。文中还讨论了最佳线性反馈增益。所提出的控制器的最大优点是控制器是线性的，并且可以保证所得到的闭环系统的全局稳定性。数值仿真结果表明了该方法的有效性。
The problem of global stabilization of the circular orbit spacecraft rendezvous system subject to actuator saturation is studied in this brief. Based on the linearized Clohessy–Wiltshire equations, a class of saturated linear state feedback controllers is designed by utilizing Lyapunov functions that are frequently used in the absolute stability theory. The global stability of the closed-loop system with the proposed saturated linear feedback is proved by providing explicit conditions on the parameters in the feedback gains. Optimal linear feedback gains are also discussed. The most significant advantages of the proposed controllers are that the controllers are linear and the global stability of the resulting closed-loop system can be guaranteed. Numerical simulations show the effectiveness of the proposed approaches.