Ivan Ostroumov
Ivan OSTROUMOV D.Sc., Ph.D.
"Navigation is a process of movement. From one point to another in defined space. We live until we could navigate..." (Ivan Ostroumov)

Algorithm of Determining Errors of Gimballed Inertial Navigation System

This paper deals with determining errors in gimballed inertial navigation systems. One of the aims of the study is to obtain expressions for transformations between different coordinate systems and expressions describing the system kinematics. The appropriate matrices of directing cosines have been obtained. The expressions for correction of reading of accelerometers taking into consideration rotation of the Earth, motion of the moving vehicle, and Coriolis acceleration have been obtained. Features of the considered system lie in the usage of the trajectory coordinate system as a basic navigation system contrary to the geographical reference frame and the usage of the two-axis gimballed platform. The structure chart and the necessary instrumentation of the researched system are represented. The equations for the determination of methodical errors for the inertial stabilization and inertial system have been obtained. The simulation of the basic errors of the studied system has been carried out. The obtained results of the simulation show the high accuracy of the researched system.

Sushchenko O.
Bezkorovainyi Y.
Solomentsev O.
Zaliskyi M.
Holubnychyi O.
Ostroumov I.V.
Averyanova Yu.
Ivannikova V.
Kuznetsov B.
Bovdui I.
Voliansky R.
Cherednichenko K.
Language:
English
Type
Refereed Journal Publications
Firstpage Number
206
Lastpage Number
218
Keywords
Inertial Navigation System
Publisher
Gervasi, O., Murgante, B., Garau, C., Taniar, D., C. Rocha, A.M.A., Faginas Lago, M.N. (eds) Computational Science and Its Applications – ICCSA 2024 Workshops. ICCSA 2024. Lecture Notes in Computer Science
Volume
14816
Year of publishing


SCImago Journal & Country Rank
Citation
DSTU
, , , , , , , , , , , , , Algorithm of Determining Errors of Gimballed Inertial Navigation System. Gervasi, O., Murgante, B., Garau, C., Taniar, D., C. Rocha, A.M.A., Faginas Lago, M.N. (eds) Computational Science and Its Applications – ICCSA 2024 Workshops. ICCSA 2024. Lecture Notes in Computer Science. . 14816. P. 206-218 DOI: 10.1007/978-3-031-65223-3_14.
IEEE
et al., "Algorithm of Determining Errors of Gimballed Inertial Navigation System," in Gervasi, O., Murgante, B., Garau, C., Taniar, D., C. Rocha, A.M.A., Faginas Lago, M.N. (eds) Computational Science and Its Applications – ICCSA 2024 Workshops. ICCSA 2024. Lecture Notes in Computer Science, vol. 14816, , pp. 206-218, doi:10.1007/978-3-031-65223-3_14.
Harvard
Sushchenko O., Bezkorovainyi Y., Solomentsev O., Zaliskyi M., Holubnychyi O., Ostroumov I.V., Averyanova Yu., Ivannikova V., Kuznetsov B., Bovdui I., Nikitina T., Voliansky R., Cherednichenko K., and Sokolova O., 2024. Algorithm of Determining Errors of Gimballed Inertial Navigation System. In Gervasi, O., Murgante, B., Garau, C., Taniar, D., C. Rocha, A.M.A., Faginas Lago, M.N. (eds) Computational Science and Its Applications – ICCSA 2024 Workshops. ICCSA 2024. Lecture Notes in Computer Science, 14816 (pp. 206-218).
Springer
Sushchenko, O., Bezkorovainyi, Y., Solomentsev, O., Zaliskyi, M., Holubnychyi, O., Ostroumov, I.V., Averyanova, Yu., Ivannikova, V., Kuznetsov, B., Bovdui, I., Nikitina, T., Voliansky, R., Cherednichenko, K., Sokolova, O.: Algorithm of Determining Errors of Gimballed Inertial Navigation System. Gervasi, O., Murgante, B., Garau, C., Taniar, D., C. Rocha, A.M.A., Faginas Lago, M.N. (eds) Computational Science and Its Applications – ICCSA 2024 Workshops. ICCSA 2024. Lecture Notes in Computer Science 14816, 206-218 (2024). doi:10.1007/978-3-031-65223-3_14.
BibTex
@InProceedings{10.1007/978-3-031-65223-3_14, author="Sushchenko, Olha and Bezkorovainyi, Yurii and Solomentsev, Oleksandr and Zaliskyi, Maksym and Holubnychyi, Oleksii and Ostroumov, Ivan and Averyanova, Yuliya and Ivannikova, Viktoriia and Kuznetsov, Borys and Bovdui, Ihor and Nikitina, Tatyana and Voliansky, Roman and Cherednichenko, Kostiantyn and Sokolova, Olena", editor="Gervasi, Osvaldo and Murgante, Beniamino and Garau, Chiara and Taniar, David and C. Rocha, Ana Maria A. and Faginas Lago, Maria Noelia", title="Algorithm of Determining Errors of Gimballed Inertial Navigation System", booktitle="Computational Science and Its Applications -- ICCSA 2024 Workshops", year="2024", publisher="Springer Nature Switzerland", address="Cham", pages="206--218", abstract="This paper deals with determining errors in gimballed inertial navigation systems. One of the aims of the study is to obtain expressions for transformations between different coordinate systems and expressions describing the system kinematics. The appropriate matrices of directing cosines have been obtained. The expressions for correction of reading of accelerometers taking into consideration rotation of the Earth, motion of the moving vehicle, and Coriolis acceleration have been obtained. Features of the considered system lie in the usage of the trajectory coordinate system as a basic navigation system contrary to the geographical reference frame and the usage of the two-axis gimballed platform. The structure chart and the necessary instrumentation of the researched system are represented. The equations for the determination of methodical errors for the inertial stabilization and inertial system have been obtained. The simulation of the basic errors of the studied system has been carried out. The obtained results of the simulation show the high accuracy of the researched system.", isbn="978-3-031-65223-3" }
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