ATTITUDE DETERMINATION USING GLOBAL POSITIONING SYSTEM

Authors

  • L. M. Ryzhkov National Technical University of Ukraine “Ihor Sikorsky Kyiv Polytechnic Institute,” Kyiv
  • O. V. Prokhorchuk National Technical University of Ukraine “Ihor Sikorsky Kyiv Polytechnic Institute,” Kyiv

DOI:

https://doi.org/10.18372/1990-5548.54.12314

Keywords:

Global Positioning System, attitude, determination

Abstract

The effect of measurements errors of distances to satellites on the accuracy of attitude determination is analyzed.  Matrix form of analysis and the least squares criterion are used. Algorithm for determining the angular orientation of the satellite based on a comparison of measured and calculated difference distances from the antennas installed on the object to GPS-satellites is proposed. The task of estimating the accuracy of determining the angular orientation in the presence of errors in determining distances to satellites is analyzed. For small measurements errors their influence on the accuracy of attitude determination can be characterized by additional rotation matrix. It is shown that the task is simplified if the normalized vectors form orthogonal basis. Relations between measurement errors in the object coordinate system and reference coordinate system are obtained. It is shown that to reduce the influence of measurement errors is advisable to install the slave antennas away from the master antenna.

Author Biographies

L. M. Ryzhkov, National Technical University of Ukraine “Ihor Sikorsky Kyiv Polytechnic Institute,” Kyiv

Aircraft and Space Systems Department

Doctor of Engineering Science. Professor

O. V. Prokhorchuk, National Technical University of Ukraine “Ihor Sikorsky Kyiv Polytechnic Institute,” Kyiv

Aircraft and Space Systems Department

Candidate of Science (Engineering). Assistant Professor

References

F. C. Park, Junggon Kim, Changdon Kee, “Geometric Descent Algorithms for Attitude Determination Using Global Position System,” J. of Guidance, Control and Dynamics, vol. 23, no. 1, pp. 26–33, 2000.

K. I. Naumenko, “Determination of orientation using the satellite navigation system GPS,” Space information technologies and systems, no. 1, pp. 90–100, 2004.

L. M. Ryzhkov, E. M. Oliynyk, “Determine the orientation of the satellite based on information from GPS,” Information systems, mechanics and management, issue 11, pp. 22–27, 2014.

L. M. Ryzhkov, D. I. Stepurenko, “Use of least square criterion in TRIAD algorithm,” Electronics and Con-trol Systems, no. 4(34), pp. 159–164, 2012.

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Issue

Vol. 4 No. 54 (2017)

Section

AUTOMATIC CONTROL SYSTEMS

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