Abstract
Algorithms for calculating an aircraft’s orientation angles based on the results of the numerical integration of Poisson’s and quaternion equations are proposed. The algorithms in the presence of random errors of the matrix elements of direction cosines and quaternions are characterized by a significantly higher accuracy in comparison to the formulas for solving the formulated problem. The results of testing the mathematical modeling data under random errors, which confirm the increased accuracy of the calculation of the orientation angles, are given.
Similar content being viewed by others
References
V. N. Branets and I. P. Shmygalevskii, Use of Quaternions in Problems of Orientation of Solid Bodies (Nauka, Moscow, 1973) [in Russian].
V. V. Matveev and V. Ya. Raspopov, Fundamentals of Designing Strapdown Inertial Navigation Systems (TsNII Elektropribor, St.-Petersburg, 2009) [in Russian].
A. V. Zinov’ev, O. N. Korsun, A. A. Chuiko, et al., Metrology, Standardization and Certification (Akademiya Zhukovskogo, Moscow, 2013) [in Russian].
R. E. Main and K. W. Iliff, Identification of Dynamic Systems: Theory and Formulation (NASA Reference Publ., USA, 1985).
O. N. Korsun and B. K. Poplavskii, “Estimation of systematic errors of oboard measurement of angle of attack and sliding angle based on integration of data of satellite navigation system and identification of wind velocity,” J. Comput. Syst. Sci. Int. 50, 130 (2011).
GOST (State Standard) 20058-80: Aircraft Dynamics in Atmosphere. Terms, Definitions and Symbols, 1981.
G. S. Byushgens, Aerodynamics, Stability and Control of Supersonic Aircraft (Nauka, Moscow, 1998) [in Russian].
S. V. Levitskii, Flight Dynamics (Voenno-Vozd. Inzh. Akad., Moscow, 2008) [in Russian].
A. V. Efremov, V. F. Zakharchenko, V. N. Ovcharenko, et al., Flight Dynamics (Mashinostroenie, Moscow, 2011) [in Russian].
Statistical Dynamics and Optimization of Flying Vehicle Control, The School-Book, Ed. by M. N. Krasil’shchikov and V. V. Malyshev (Al’yanS, Moscow, 2013) [in Russian].
A. A. Nikulin, “On attitude determination using angular rate sensors and rigidly attached antennas,” Novosti Navigats., No. 2, 12–14 (2014).
Yu. A. Solov’ev, “Differential satellite subsystems for aircraft landing,” Novosti Navigats., No. 2, 20–29 (2014).
V. L. Kuznetsov and E. S. Goryachenkova, “Estimation piloting errors statistics and probability of satellite navigation system failure,” Nauch. Vestn. MGTU GA, No. 207 09, 138–144 (2014).
Author information
Authors and Affiliations
Corresponding author
Additional information
Original Russian Text © V.V. Bulgakov, O.N. Korsun, V.S. Kulabukhov, A.V. Stulovskii, D.S. Timofeev, 2016, published in Izvestiya Akademii Nauk. Teoriya i Sistemy Upravleniya, 2016, No. 1, pp. 159–170.
Rights and permissions
About this article
Cite this article
Bulgakov, V.V., Korsun, O.N., Kulabukhov, V.S. et al. Algorithms of increasing the calculation accuracy for an aircraft’s orientation angle. J. Comput. Syst. Sci. Int. 55, 150–161 (2016). https://doi.org/10.1134/S1064230715050032
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S1064230715050032