This article proposes the dynamic event-triggered control (ETC) and self-triggered control (STC) to achieve the semiglobal finite-time stabilization (SGFTS) of spacecraft rendezvous system with input constraints. Based on the Clohessy–Wiltshire equation, a bounded dynamic ETC algorithm is first designed, where the time-varying control gain will approach to infinity at finite-time and only be scheduled on a specified time determined by an dynamic event-triggered mechanism. This algorithm can achieve the SGFTS of the closed-loop system and save the communication resources. Moreover, the corresponding dynamic STC that only uses the data information at the previously triggered time to precompute the next triggered time is designed. By exploring the properties of the parametric Lyapunov equation, a positive minimal interevent time (MIET) of the designed dynamic ETC and STC can be obtained, such that the Zeno phenomenon is avoided. In some cases, the MIET can totally avoid the relationship with the system itself and be designed as an arbitrarily large bounded constant. Finally, simulation results verify the effectiveness of the designed algorithms.

中文翻译：

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动态事件触发和自触发控制饱和航天器交会系统半全局有限时间稳定


本文提出动态事件触发控制（ETC）和自触发控制（STC）来实现带输入约束的航天器交会系统的半全局有限时间稳定（SGFTS）。基于Clohessy-Wiltshire方程，首先设计了有界动态ETC算法，其中时变控制增益在有限时间内接近无穷大，并且仅在动态事件触发机制确定的指定时间进行调度。该算法可以实现闭环系统的SGFTS并节省通信资源。此外，还设计了相应的动态STC，仅使用先前触发时间的数据信息来预先计算下一次触发时间。通过探索参数Lyapunov方程的性质，可以获得设计的动态ETC和STC的正最小间隔时间（MIET），从而避免Zeno现象。在某些情况下，MIET可以完全避免与系统本身的关系，而设计为任意大的有界常数。最后，仿真结果验证了所设计算法的有效性。