Complex mathematical models of inertial navigation system errors
DOI:
https://doi.org/10.5281/zenodo.5579139Keywords:
aircraft, inertial navigation system, error, correction, mathematical model, nonlinear, linearAbstract
The article is devoted to mathematical models of errors of inertial navigation systems (INS). The main advantages of autonomous inertial navigation systems are their resistance to horizontal accelerations and the ability to work autonomously under any conditions. However, over time, the errors of autonomous INS, due to the drift of gyroscopes, zero offset and drift of accelerometers, as well as other factors, reach significant values. Therefore, research to compensate for these errors is an important and urgent task in the autonomous mode of operation of the aircraft.
To establish the connection between the output and input errors of autonomous INS, the equation of errors of autonomous INS is made. In this case, two models of errors of autonomous INS are investigated: nonlinear and linear.
Depending on the requirement for accuracy and time of calculation of navigation parameters choose different models of INS errors. The linear model is simpler and requires less computational time. But the development of modern technologies allows to solve complex problems at an acceptable time interval. Therefore, it is possible to use nonlinear models.
Downloads
References
Bromberg P. V. Teoriya inertsial'nykh sistem navigatsii. Moscow: Nauka, 1979. 296 p. [in Russian]
Giroskopicheskiye sistemy, chast' II /Pod red. D.S. Pel'pora. Moscow: Vysshaya shkola, 1971. 568 p. [in Russian]
Inertsial'nyye navigatsionnyye sistemy: Ucheb. posobiye. CH.1: Odnokanal'nyye inertsial'nyye navigatsionnyye sistemy / L.M. Selivanova, Ye.V. Shevtsova. Moscow: Izd-vo MGTU im. N.E. Baumana, 2012. 46 p. [in Russian]
Meleshko V. V., Nesterenko O. I. Besplatformennyye inertsial'nyye navigatsionnyye sistemy. Uchebnoye posobiye. – Kirovograd: POLIMED – Servis, 2011. – 172 p.
Neusypin A.K. Pogreshnosti inertsial'nykh sistem. Moscow: Izd-vo MVTU im. N.E. Baumana, 1988. 57 p. [in Russian]
Neusypin K.A. Sovremennyye sistemy i metody navedeniya, navigatsii i upravleniya letatel'nymi apparatami. Moscow: IIU MGOU, 2009. 500 p. [in Russian]
Salychev O.S. Applied Inertial Navigation: Problems and Solutions, Moscow: Bauman MSTU Press, 2004. 302 p. [in Russian]
Salychev O.S. Inertial Systems in Navigation and Geophysics, Moscow: Bauman MSTU Press, 1998. 352 p. [in Russian]
Salychev O.S. MEMS-based Inertial Navigation: Expectations and Reality, Moscow: Bauman MSTU Press, 2012. 207 p. [in Russian]
Published
How to Cite
Issue
Section
License
The authors agree with the following conditions:
1. Authors retain copyright and grant the journal right of first publication (Download agreement) with the work simultaneously licensed under a Creative Commons Attribution License that allows others to share the work with an acknowledgment of the work's authorship and initial publication in this journal.
2. Authors have the right to complete individual additional agreements for the non-exclusive spreading of the journal’s published version of the work (for example, to post work in the electronic repository of the institution or to publish it as part of a monograph), with the reference to the first publication of the work in this journal.
3. Journal’s politics allows and encourages the placement on the Internet (for example, in the repositories of institutions, personal websites, SSRN, ResearchGate, MPRA, SSOAR, etc.) manuscript of the work by the authors, before and during the process of viewing it by this journal, because it can lead to a productive research discussion and positively affect the efficiency and dynamics of citing the published work (see The Effect of Open Access).