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Method Errors of the Dead Reckoning Schemes Based on a Single Free Gyroscope

https://doi.org/10.17285/0869-7035.0007

Abstract

The paper discusses the method that was proposed earlier to provide nonperturbation of dead reckoning (DR) owing to a single-channel inertial vertical, constructed with the use of a triad of accelerometers and a single free gyroscope, as well as compensation for the effect of inertial accelerations directly in computed DR using the data from an external speed meter (a log). The DR method errors specific to this scheme are analyzed, in particular, those conditioned by the fact that, in the general case, positions of the accelerometers and the log for marine underwater and surface vessels do not coincide either with each other or the center of the vessel rolling. Analytical calculations and the simulation results are given to show that the level of DR method errors is insignificant for the class of the objects under consideration.

About the Authors

Ya. I. Binder
Concern CSRI Elektropribor, JSC, St. Petersburg, Russia
Russian Federation


T. V. Paderina
Concern CSRI Elektropribor, JSC, St. Petersburg, Russia
Russian Federation


Yu. A. Litmanovich
Concern CSRI Elektropribor, JSC, St. Petersburg, Russia
Russian Federation


References

1. Binder, Ya.I., Construction of a geographically oriented horizon trihedron in gyroscopic orientation systems intended to aid navigation dead reckoning. Part 1. Gyroscopic orientation with a correctable pendulum. Implementation in a free gyroscope, Gyroscopy and Navigation, 2015, vol. 6, no. 2, pp. 123–132.

2. Binder, Ya.I., Dead reckoning using an attitude and heading reference system based on a free gyro with equatorial orientation, Gyroscopy and Navigation, 2017, vol. 8, no. 2, pp. 104–114.

3. Bekishev, A.T., Korobochkin, Yu.B., and Skalyga, V.I., Mathematical models for filtering target motion parameters in various ship coordinate systems, Morskiye informatsionnoupravlyayushchie sistemy, 2016, no.1 (9), pp. 46–55.

4. Binder, Ya.I., Litmanovich, Yu.A., and Paderina, T.V., Extension of Navigation Methods on a Basis of the Inertial Approach, 25th St. Petersburg Int. Conf. on Integrated Navigation Systems, St. Petersburg: Elektropribor, 2018, pp. 319–330.

5. Anuchin, O.N. and Emel’yantsev, G.I., Integrirovannye sistemy orientatsii i navigatsii dlya morskikh podvizhnykh ob’’ektov (Integrated Systems of Orientation and Navigation for Marine Vessels), V.G. Peshekhonov, Ed., 2nd edition, St.Petersburg: TsNII Elektropribor, 2003, p. 389.

6. Emel’antsev, G.I. and Stepanov, A.P., Integrirovannye inertsial’no-sputnikovye sistemy orientatsii i navigatsii (Integrated INS/GNSS Orientation and Navigation Systems), Peshekhonov, V.G., Ed., St. Petersburg, Kontsern Elektropribor, 2016.

7. Rivkin, S.S., Opredeleniye lineinykh skorostei i uskorenii kachki korablya inertsial’nym metodom. Chast’ I. Lineinye skorosti i uskoreniya kachki korablya. (Determination of Linear Velocities and Accelerations of the Ship's Rolling by the Inertial Method. Part I. Linear Velocities and Accelerations of the Ship's Rolling. TsNII Rumb, 1980.

8. Bromberg, P.V., Teoriya inertsial'nykh sistem navigatsii (Theory of Inertial Navigation Systems)

9. Moscow: Nauka, 1979.

10. Loitsyanskii, L.G.and Lur’e, A.I., Kurs teoreticheskoi mekhaniki. Tom I. Statika i kinematika (A course of Theoretical Mechanics. Vol. 1. Statics and Kinematics), Moscow: Nauka, 1982. 10. Binder, Ya.I., Determination of orientation angles in dead reckoning systems with one free gyroscope, Gyroscopy and Navigation, 2018, vol. 9, no. 2, pp. 106–115.

11. Fontanella, R., de Alteriis, G., Accardo, D., Lo Moriello, R.S., and Angrisani, L., Advanced lowcost integrated inertial systems with multiple consumer grade sensors, 2018 IEEE/AIAA 37th Digital Avionics Systems Conference (DASC), London, 2018, pp. 1–8. DOI: 10.1109/DASC.2018.8569846.

12. Shaeffer, D.K., MEMS Inertial Sensors: A tutorial overview, IEEE Communications Magazine, April 2013, vol. 51, no. 4, pp. 100–109. DOI: 10.1109/MCOM.2013.6495768.


Review

For citations:


Binder Ya.I., Paderina T.V., Litmanovich Yu.A. Method Errors of the Dead Reckoning Schemes Based on a Single Free Gyroscope. Giroskopiya i Navigatsiya. 2019;27(3):53-70. (In Russ.) https://doi.org/10.17285/0869-7035.0007

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ISSN 0869-7035 (Print)
ISSN 2075-0927 (Online)