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Real time control of tethered satellite systems to de-orbit space debris

机译：将卧系卫星系统的实时控制到轨道空间碎片

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Space debris has become a huge concern for orbital missions that makes remediation a critical and necessary action. Using Tethered Satellite System (TSS) to de-orbit debris is one active method to reduce the population of debris in Low Earth Orbits (LEO). We propose a TSS where a satellite is connected to a large space debris by an elastic tether. This system in LEO is subjected to many different disturbances such as aerodynamic drag, which necessitate a robust control method.Here, we present a robust optimal H-2 - H-infinity controller based on State-Dependant Riccati Equation (SDRE). The characterize of the optimal solution in the context of robustness to disturbance is our main goal. We show that the control law can be expressed in the form of traditional Riccati equation. The SDRE is a powerful method to control nonlinear systems, however, it can not be used as a real-time scheme. We overcome this drawback of SDRE by using an approximation approach based on Bellman's principle of optimality. This method is presented in terms of least squares techniques and can relieve the problem of high computational loads when using SDRE in real-time control systems. Also, we extend the approximation method for the H-2 - H-infinity control method. The performance of proposed controllers is evaluated by numerical simulations and the results show a convergence of the states to zero. Also, the control law forces the system to decrease the velocity of the debris in the orbit, thus the altitude of debris orbit decreases automatically so that atmospheric drag will cause the debris to burn out more rapidly by entering Earth's atmosphere. (c) 2020 Elsevier Masson SAS. All rights reserved.
机译：空间碎片已成为轨道任务的巨大关注，使修复成为一个关键和必要的行动。使用束缚卫星系统（TSS）脱轨碎片是减少低地球轨道（LEO）中碎屑群的一种活性方法。我们提出了一种TS，其中卫星通过弹性系绳连接到大型空间碎屑。 Leo中的该系统受到许多不同的干扰，例如空气动力学阻力，这需要一种鲁棒的控制方法。，我们呈现了一种基于状态依赖性Riccati等式（SDRE）的鲁棒优化的H-2-H-Infinity控制器。在鲁棒性的背景下的最佳解决方案的特征是我们的主要目标。我们表明控制法可以以传统的Riccati方程的形式表达。 SDRE是一种控制非线性系统的强大方法，但是，它不能用作实时方案。我们通过使用基于Bellman的最优性原则的近似方法来克服SDRE的缺点。该方法以最小二乘技术呈现，并且当使用SDRE在实时控制系统中时可以减轻高计算负荷的问题。此外，我们扩展了H-2 - H-Infinity控制方法的近似方法。通过数值模拟评估所提出的控制器的性能，结果显示了州的融合为零。此外，控制法迫使系统降低轨道中碎屑的速度，因此碎片轨道的高度自动减少，使大气阻力导致碎片通过进入地球的大气来迅速燃烧更快。 （c）2020 Elsevier Masson SAS。版权所有。

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