Nonclassical quaternions and pentanions in problems of inertial orientation

Authors

  • A. P. Panov European Academy of Natural Sciences
  • S. A. Ponomarenko State Research Institute of Aviation

DOI:

https://doi.org/10.18372/1990-5548.49.11237

Keywords:

Non-classical quaternions, pentanions of helf-rotations, strapdown inertial orientation systems, orientation control

Abstract

The article considers the nonclassical quaternions and pentanions of helf-rotations of solidbody and their application in problems of control and orientation of moving objects. In contrast to classicalrationed Hamiltonian quaternions of complete rotations the nonclassical quaternions of helf-rotations maybe null, they have variable rates, depending on the angle of Euler finite rotation

Author Biographies

A. P. Panov, European Academy of Natural Sciences

Doctor of Science (Engineering). Professor

S. A. Ponomarenko, State Research Institute of Aviation

Candidate of Science (Engineering). Senior Research Fellow

References

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A. P. Panov and S. A. Ponomarenko, “Оn the new non-hamiltonian quaternions of half-rotation and their application to problems of orientation.” European journal of natural history, 2016, no. 5, pp. 52–56. URL: http://world-science.ru/euro/pdf/ 2016/5/15.pdf

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Issue

Vol. 3 No. 49 (2016)

Section

AUTOMATIC CONTROL SYSTEMS

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