This work addresses the finite-time orbit control problem for spacecraft formation flying with external disturbances and limited data communication. A hysteretic quantizer is employed for data quantization in the controller-actuator channel to decrease the communication rate and prevent the chattering phenomenon caused by the logarithmic quantizer. Combined with the adding one power integrator method and backstepping technique, a new finite-time tracking control strategy with adaptation law is designed to ensure that the closed-loop system is practical finite-time stable, and that the tracking errors of relative position and velocity are bounded within finite-time despite with limited data communication and external disturbances. Finally, an example is shown to validate the effectiveness of the proposed finite-time tracking controller.

中文翻译：

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具有外部干扰和有限数据通信的航天器编队的有限时间轨道控制

这项工作解决了具有外部干扰和有限数据通信的航天器编队飞行的有限时间轨道控制问题。在控制器-执行器通道中采用滞后量化器进行数据量化，以降低通信速率并防止对数量化器引起的抖动现象。结合加一幂积分法和反推技术，设计了一种新的具有自适应律的有限时间跟踪控制策略，保证闭环系统实际有限时间稳定，并保证相对位置和速度的跟踪误差。尽管存在有限的数据通信和外部干扰，但它们仍处于有限时间内。最后，给出了一个例子来验证所提出的有限时间跟踪控制器的有效性。