Нетрадиційні кватерніони і пентаніони в задачах інерціальної орієнтації
DOI:
https://doi.org/10.18372/1990-5548.49.11237Ключові слова:
некласичні кватерніони, пентаніони напівобертання, безплатформенні інерціальні системи орієнтації, керування орієнтацієюАнотація
Розглянуто некласичні кватерніони і пентаніони напівобертання твердого тіла та їх застосування в задачах керування і орієнтації рухомих об’єктів. На відміну від класичних нормованих гамільтонових кватерніонів повних обертань некласичні кватерніони напівобертання можуть бути нульовими, вони мають змінні норми, що залежать від кута ейлерового кінцевого обертанняПосилання
A.P. Panov, Mathematical foundations of the theory of inertial orientation. Kyiv, Naukova dumka, 1995, 279 p.
A.P. Panov, “On new unnormalized quaternions of solid body rotation”. Problems of Analytical Mechanics and its Applications. vol. 26, 1999, pp. 300–329.
V.A. Demenkov, Y.A. Kuznetsov and A.P. Panov, “Using reference models of rotation for estimation of orientation algorithms in unnormalized quaternions of strapdown navigation systems”. 17th International Conference on Automatic Control “Automatics–2010.” Collection of papers. vol. 2. Kharkiv, National University of Radio Electronics, 2010, pp. 45–47.
Y. A. Litmanovich and J. Mark, “Progress in the development of algorithms for SINS in the West and the East with the materials of the St. Petersburg conference: review of a decade.” X St. Petersburg International Conference on Integrated Navigation Systems. Proc. rep. St. Petersburg. 2003, May 26-28, pp. 250–260.
A. P. Panov, “Methods of sixth-order accuracy for calculations of the orientation vector coordinates by the quasicoordinates.” Cybernetics and Computer Science, ALLERTON PRESS, New York, 1986.
vol. 69, pp. 47–52.
V. Z. Gusinsky, V. M. Lesyuchevsky and Yu. A. Litmanovich, Musoff Howard and Schmidt George T. “A New Procedure for Optimized Strapdown Attitude Algorithms.” Journal of Guidance, Control and Dynamics. 1997, vol. 20, no. 4, pp. 673–680.
J. Mark and D. Tazartes, “Tapered algorithms that take into account non-ideality of the frequency response of the output signals of gyroscopes.” Gyroscopy and navigation. 2000, no. 1 (28), pp. 65–77.
M. V. Sinkov, J. E. Boyarinova and J. A. Kalinowski, The finite hypercomplex number systems. Fundamentals of the theory. Applications. Kyiv: Institute of Recording Information NAN of Ukraine. 2010, 389 p.
G. I. Chesnokov and A. M. Golubev, “Strapdown inertial navigation systems for modern aviation.” St. Petersburg International Conference on Integrated Navigation Systems. Proc. rep. St. Petersburg. 2003, May 26-28, 192 p.
A. G. Kuznetsov, B.I. Portnov and E.A. Izmailov, “Development and testing of two classes of aircraft strapdown inertial navigation systems on the laser gyro”. Gyroscopy and navigation. 2014. no. 2 (85), pp. 3–12.
A. P. Panov, S. A. Ponomarenko, and V. V. Tsysarzh, “Groups and algebras of non-gamiltonian quaternions of half-rotation in the problems of strapdown inertial systems.” XXII St. Petersburg International Conference on Integrated Navigation Systems. Proc. rep. St. Petersburg. 2015, May 25-27, pp. 257–261.
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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