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Adaptive finite time distributed 6-DOF synchronization control for spacecraft formation without velocity measurement

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Abstract

In this paper, the problem of distributed finite time six-degree-of-freedom (6-DOF) synchronization control for spacecraft formation flying (SFF) with the external disturbances and parameter uncertainties is investigated. Firstly, a continuous adaptive finite time distributed control protocol with full state feedback is proposed, which can overcome the chattering problem and reduce the convergence time in the reaching phase. Subsequently, an adaptive sliding mode observer with finite time convergence is designed to estimate the velocity information. Then a new observer-based continuous adaptive finite time distributed control protocol is designed. Rigorous proofs show that these two distributed controllers both can guarantee that the attitude and relative position tracking errors can converge to the origin within finite time rather than the bounded regions around the origins. Finally, the effectiveness of the designed distributed control protocols is demonstrated by simulation results.

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Acknowledgements

This work was supported by the NSFC (61327807,61521091, 61520106010, 61134005) and the National Basic Research Program of China (973 Program: 2012

CB821200, 2012CB821201), and the Academic Excellence Foundation of BUAA for PhD Students.

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Authors and Affiliations

  1. The Seventh Research Division and the Center for Information and Control, School of Automation Science and Electrical Engineering, Beihang University (BUAA), Beijing, 100191, China

    Yi Huang & Yingmin Jia

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  1. Yi Huang
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  2. Yingmin Jia
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Correspondence to Yi Huang.

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Huang, Y., Jia, Y. Adaptive finite time distributed 6-DOF synchronization control for spacecraft formation without velocity measurement. Nonlinear Dyn 95, 2275–2291 (2019). https://doi.org/10.1007/s11071-018-4691-2

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  • DOI: https://doi.org/10.1007/s11071-018-4691-2

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