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Almost Global Finite-time Stabilization of Spacecraft Formation Flying with Decentralized Collision Avoidance

Daero Lee* and George Vukovich
International Journal of Control, Automation, and Systems, vol. 15, no. 3, pp.1167-1180, 2017

Abstract : "This paper presents finite-time stabilization of spacecraft formation flying with a decentralized collision avoidance in the framework of geometric mechanics. A finite-time control scheme is developed such that each spacecraft achieves desired relative configuration and velocities with respect to the virtual leader autonomously. The finite-time control scheme is combined with a decentralized collision avoidance scheme. A Lyapunov analysis guarantees that the spacecraft motions converge to the desired state trajectories with the combined control scheme in finite time. Numerical simulation results verify the successful application of the proposed combined control scheme for spacecraft formation flying in the presence of unknown external disturbances while avoiding collisions via the decentralized collision avoidance."

Keyword : "Collision avoidance, finite-time stabilization, finite-time control, Lie group SE(3), spacecraft formation flying."

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