To the questuion of solving the attitude determination problem

Authors

  • Лев Михайлович Рижков National Technical University of Ukraine "Kyiv Polytechnic Institute" 37 Prospect Peremogy, Kiev, Ukraine, 03056, Ukraine
  • Дмитро Іванович Степуренко National Technical University of Ukraine "Kyiv Polytechnic Institute" 37 Prospect Peremogy, Kiev, Ukraine, 03056, Ukraine

DOI:

https://doi.org/10.15587/1729-4061.2013.19154

Keywords:

attitude determination problem, orthogonalization, least squares criterion, model of measurements

Abstract


Deterministic methods of the attitude determination allow to determine the angular position of the aircraft based on the information on several reference directions, existing in space. The parameters, used for the attitude description in such methods are the attitude matrix, quaternion, Rodrigo-Hamilton parameters. However, in practice it is convenient to use Euler angles, which have a simple geometrical interpretation. The method, proposed in the paper allows to determine not the entire attitude matrix, but only its necessary part, on the basis of the accepted sequence of turns. The matrix, which is calculated on the basis of vectors in the coordinate reference system and is used for the calculation of the attitude angles during the certain time, can be considered invariable that allows to simplify calculations. Also, the paper proposes to apply the orthogonalization to the direct solution of the system of equations, which connects vectors of reference directions in two coordinate systems. The proposed methods are simple in implementation, but less accurate than existing methods, using the least squares criterion during the determination of attitude parameters. The indications of the measuring instrument with the lowest accuracy have the greatest influence on the accuracy of the obtained estimates

Author Biographies

Лев Михайлович Рижков, National Technical University of Ukraine "Kyiv Polytechnic Institute" 37 Prospect Peremogy, Kiev, Ukraine, 03056

Professor

Department of Aircraft Control Devices and Systems

Дмитро Іванович Степуренко, National Technical University of Ukraine "Kyiv Polytechnic Institute" 37 Prospect Peremogy, Kiev, Ukraine, 03056

Graduate student

Department of Aircraft Control Devices and Systems

References

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Published

2013-12-12

How to Cite

Рижков, Л. М., & Степуренко, Д. І. (2013). To the questuion of solving the attitude determination problem. Eastern-European Journal of Enterprise Technologies, 6(9(66), 40–44. https://doi.org/10.15587/1729-4061.2013.19154

Issue

Vol. 6 No. 9(66) (2013): Information and control systems

Section

Information and controlling system

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Copyright (c) 2014 Лев Михайлович Рижков, Дмитро Іванович Степуренко

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