Tether deployment with in-plane angular and explicit velocity constraints by barrier Lyapunov function Online publication date: Fri, 13-Jan-2017
by Ming Liu; Xingqun Zhan; Bing Zhu
International Journal of Space Science and Engineering (IJSPACESE), Vol. 4, No. 2, 2016
Abstract: Space tethers have been used for many space applications for decades. However, how to deploy a tethered system in a non-overshooting and stable way is still an unsolved issue up to now. Especially for passive deployment devices where positive deploy velocity is an essential requirement. In addition, in-plane angular amplitude is another issue that we should restrict to prevent tether become slack when it transgress 45°. This paper proposes a new control method to satisfy the two main constraints. First, we use a modified barrier Lyapunov Function method to design a deploy trajectory, which could ensure the in-plane angular stable and restrict into a small range as well as a positive deploy velocity. Second, we employ a feedback linearisation to realise a non-overshooting tracking. Simulations demonstrate that the scenario is successful in keeping a small in-plane angular within 0.25 radian, and positive deploy velocity and tension, meanwhile guaranteeing the non-overshooting tether length state.
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