AN APPLICATION OF MOTION CORRECTION METHODS TO THE ALIGNMENT PROBLEM IN NAVIGATION

Boris I. Ananyev     (Krasovskii Institute of Mathematics and Mechanics, Ural Branch of Russian Academy of Sciences, Ekaterinburg, Russian Federation)

Abstract


In this paper, we apply some motion correction methods to the alignment problem in navigation. This problem consists in matching two coordinate systems having the common origins. As a rule, one of the systems named as basic coordinate system is located at a ship or airplane. The dependent coordinate system belongs to another object (e.g. missile) that starts from the ship. The problem is considered with incomplete information on state coordinates which can be measured with disturbances without statistical description.


Keywords


Alignment problem, Motion correction, Incomplete information, Set-membership description of uncertainty

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References


  1. Lipton A.H. Alignment of Inertial Systems on a Moving Base. Washington D.C.: NASA, 1967. 178 p.
  2. Boguslavski I.A. Applied Problems of Filtering and Control. M.: Nauka, 1983. 314 p. [in Russian]
  3. Bromberg P.V. The Theory of Inertial Navigation Systems. M.: Nauka, 1979. 245 p. [in Russian]
  4. Klimov D.M. Inertial Navigation on the Sea. M.: Nauka, 1984. 211 p. [in Russian]
  5. Parusnikov N.A., Morozov V.M, Borzov V.I. Correction Problem in Inertial Navigation. M.: MGU, 1982. 256 p. [in Russian]
  6. Bachshiyan B.Ts., Nazirov R.R., Eliyasberg P.E. Determination and Correction of Motion. M.: Nauka, 1980. 402 p. [in Russian]
  7. Kurzhanski A.B. Control and Observation under Conditions of Uncertainty. M.: Nauka, 1977. 392 p. [in Russian]
  8. Krasovskii N.N. and Subbotin A.I. Game–Theoretical Control Problems. Springer–Verlag, New York, 1988. 517 p.
  9. Ananyev B.I. and Gredasova N.V. The Alignment Problem of Inertial Systems and Motion Correction Procedure // Bulletin of Buryatian State University, 2011. No. 9. P. 203–208. PDF [in Russian]
  10. Liptser R.Sh. and Shiryayev A.N. Statistics of Random Processes, V.1 General Theory, V.2 Applications, Springer–Verlag, New York, 2000.



DOI: http://dx.doi.org/10.15826/umj.2016.2.002

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