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Earth–Moon L1 libration point orbit continuous stationkeeping control using time-varying LQR and backstepping

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Abstract

Different periodic-gain stationkeeping control strategies in Earth–Moon L1 libration point orbits are proposed based on continuous LQR control and Floquet theory. The strategies are based on time-periodic infinite horizon LQR and backstepping technique with time-invariant LQR. Furthermore, a dead-band periodic-gain controller is proposed to account for the limited lifespan of the thrusters. The proposed controllers are shown to be more fuel efficient than conventional feedback linearization for the same settling time envelope of the tracking error.

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Acknowledgments

Financial support from AFOSR under Grant No. W911NF-11-1-0195 is gratefully acknowledged.

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Authors and Affiliations

  1. Department of Aerospace and Mechanical Engineering, University of Arizona, 1130 N Mountain Ave, Tucson, AZ, 85721, USA

    Morad Nazari & Eric A. Butcher

  2. Harris Corporation, 10500 Copper Ave, Albuquerque, NM, 87123, USA

    William Anthony

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  1. Morad Nazari
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  2. Eric A. Butcher
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  3. William Anthony
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Correspondence to Morad Nazari.

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Nazari, M., Butcher, E.A. & Anthony, W. Earth–Moon L1 libration point orbit continuous stationkeeping control using time-varying LQR and backstepping. Int. J. Dynam. Control 5, 1089–1102 (2017). https://doi.org/10.1007/s40435-016-0256-8

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  • DOI: https://doi.org/10.1007/s40435-016-0256-8

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