This paper addresses the challenge of rapid reconfiguration control in the chained tethered satellite formation (CTSF) amidst full-state constraints and uncertainties. To tackle this, we propose an innovative event-triggered practical prescribed-time control method grounded in observer theory. Initially, we develop a sliding mode state observer utilizing event triggering to effectively monitor the velocities of adjacent satellites. Subsequently, leveraging the framework of backstepping control, uncertainties are managed by approximating them using fuzzy logic systems. The imposition of full-state constraints is adeptly handled through the barrier Lyapunov function. An event-triggered practical prescribed-time controller (ET-PPTC) is then engineered, drawing on the principles of practical prescribed-time stability. The robustness and stability of the closed-loop control system are rigorously established employing the Lyapunov framework. Finally, through comprehensive numerical simulations, we validate the feasibility and efficacy of the proposed control scheme in facilitating the reconfiguration mission of a four-satellite CTSF.

中文翻译：

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链式系留卫星编队重构：一种事件触发的实用规定时间控制方法


本文解决了在全状态约束和不确定性下链式系留卫星编队（CTSF）中快速重新配置控制的挑战。为了解决这个问题，我们提出了一种基于观察者理论的创新事件触发的实用规定时间控制方法。最初，我们开发了一种利用事件触发的滑模状态观测器来有效监测相邻卫星的速度。随后，利用反步控制框架，通过使用模糊逻辑系统近似不确定性来管理不确定性。通过势垒李亚普诺夫函数可以熟练地处理全状态约束的施加。然后，借鉴实际规定时间稳定性的原理，设计了事件触发的实际规定时间控制器（ET-PPTC）。闭环控制系统的鲁棒性和稳定性是采用李亚普诺夫框架严格建立的。最后，通过全面的数值模拟，我们验证了所提出的控制方案在促进四星 CTSF 重构任务中的可行性和有效性。