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Modeling the motion of an uncompensated gyrostabilized platform in the Rodrigues-Hamilton parameters

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  • Flight Dynamics and Control of Flight Vehicles
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Abstract

We construct a model of triaxial gyrostabilizer platform motion at the force stabilization regime. The Rodrigues-Hamilton parameters have been chosen as kinematic parameters describing the changes in the gyrostabilized platform state vector. The advantages of using the model constructed in the initial attitude control systems of inertial navigation systems as compared with the existing ones are shown.

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References

  1. Razorenov, G.N., Bakhramov, E.A., and Titov, Yu.F., Sistemy upravleniya letatel’nymi apparatami (Control Systems for Aircraft), Moscow: Mashinostroenie, 2003.

    Google Scholar 

  2. Lysenko, L.N., Navedenie i navigatsiya ballisticheskikh raket (Guidance and Navigation of Ballistic Missiles), Moscow: MGTU, 2007.

    Google Scholar 

  3. Bel’skii, L.N., and Vodicheva, L.V., Rapid High-Precision Initial Adjustment and Calibration of Inertial Navigation System of a Flight Vehicle with Movable Platform, Giroskopiya i Navigatsiya, 2001, vol. 35, no. 4, pp. 3–18.

    Google Scholar 

  4. Anisimov, V.A., Zhbanov, Yu.K., Zil’berman, B.S., and Popov, G.V., Rapid Compassing on a Fixed Base, Giroskopiya i Navigatsiya, 2003, vol. 41, no. 2, pp. 79–84.

    Google Scholar 

  5. Stepanov, O.A., Osnovy teorii otsenivaniya s prilozheniyami k zadacham obrabotki navigatsionnoi informatsii. Chast’ 1. Vvedenie v teoriyu otsenivaniya (Fundamentals of the Estimation Theory with Applications to the Problems of Navigation Information Processing. Part 1. Introduction to the Estimation Theory), St. Petersburg: GNTs RF TsNII Elektropribor, 2009.

    Google Scholar 

  6. Ishlinskii, A.Yu., Orientatsiya, giroskopy i inertsial’naya navigatsiya (Attitude Control, Gyroscopes, and Inertial Navigation), Moscow: Nauka, 1976.

    Google Scholar 

  7. Mezhiritskii, E.L., Denisov, M.M., Malykhin, L.I., Mishina, V.K., Nikiforov, V.M., Avtomatizirovannye sistemy sbora i obrabotki informatsii dlya upravleniya i tseleukazaniya (Computer-Aided System of Data Acquisition and Processing for Control and Target Designation), Moscow: Litkon, 2009.

    Google Scholar 

  8. Wrigley, W., Denhard, W.G., and Hollister, W.M., Gyroscopic Theory, Design, and Instrumentation, MIT Press, 1969.

  9. Onishchenko, S.M., Primenenie giperkompleksnykh chisel v teorii inertsial’noi navigatsii: Avtonomnye sistemy (Application of Hypercomplex Numbers in Inertial Navigation Theory), Kiev: Naukova dumka, 1983.

    Google Scholar 

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Original Russian Text © V.A. Pogorelov, E.G. Chub, K.Yu. Yakovlev, 2012, published in Izvestiya VUZ. Aviatsionnaya Tekhnika, 2012, No. 3, pp. 69–72.

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Pogorelov, V.A., Chub, E.G. & Yakovlev, K.Y. Modeling the motion of an uncompensated gyrostabilized platform in the Rodrigues-Hamilton parameters. Russ. Aeronaut. 55, 315–319 (2012). https://doi.org/10.3103/S1068799812030154

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  • DOI: https://doi.org/10.3103/S1068799812030154

Keywords

Navigation