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Long time missions and the fuel-optimal attitude maneuvering in a swinging mode

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Abstract

The problem of fuel-optimal attitude maneuvering of a space vehicle (SV) with non-fixed time is considered. The state constraint related to the maintenance of artificial gravitation is imposed. This problem is especially important for long-time space missions. The attitude of the space vehicle is controlled by means of a pair of reactive engines which produce a single control torque with fixed direction in the body-fixed frame. An optimal solution is obtained in the class of trajectories belonging to “swinging mode” two-periodic sliding cycling regimes. The solution is found in analytical form and optimal synthesis is obtained.

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Authors and Affiliations

  1. Faculty of Civil and Environmental Engineering, Israel Institute of Technology, Technion, Haifa, 32000, Israel

    Ilya Ioslovich, Michael Borshchevsky & Per-Olof Gutman

Authors
  1. Ilya Ioslovich
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  2. Michael Borshchevsky
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  3. Per-Olof Gutman
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Correspondence to Ilya Ioslovich.

Additional information

The short conference version of this paper was published in Proceedings of the IFAC Workshop GSCP-04, Pereyslavl-Zalessky, Russia, September 21–29, 2004.

This paper was presented as an invited lecture at the International Conference on Control and Optimization in honor of Professor Boris Polyak, Institute of Control Science RAN, Russia, Moscow, May 19–20, 2005.

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Ioslovich, I., Borshchevsky, M. & Gutman, PO. Long time missions and the fuel-optimal attitude maneuvering in a swinging mode. Math. Program. 120, 49–66 (2009). https://doi.org/10.1007/s10107-007-0144-2

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  • DOI: https://doi.org/10.1007/s10107-007-0144-2

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