INERTIAL NAVIGATION ACCURACY AND ACCELEROMETERS WITH DAMPING
DOI:
https://doi.org/10.18372/1990-5548.57.13229Keywords:
Inertial navigation system, accelerometer, wave equation, disturbing influences Lagrange function, inertial management unitAbstract
Nowadays an anxiously important problem is the creation of the low-cost gyro-free inertial navigation systems. That is why we focus primarily on linear accelerometer to avoid gyro using. The problem of inertial navigation accuracy with using of accelerometers in inertial measurement unit are discussed. It is shown that a strict successive analysis of accelerometer measurement procedure makes it possible to understand probable new source of errors in the value estimation of the disturbing force magnitude. If do not take into account these new possible errors any self-adjusting system of an airplane may be functionally unreliable. These errors arise primarily when temporal duration of disturbing force is less than some critical time τ, which depends on the given characteristics of an aircraft Inertial Navigation System and aircraft itself. The method of finding τ is proposed. A presence of a damping force in the proof mass motion equation is examined.
References
V. M. Sineglasov and F. M. Zaharin, “Perspectives of integrated inertial-satellite systems development of aircraft of civil aviation,” 2-nd International Conference “Methods and Systems of Navigation and Motion Control”. Proceedings. Oct. 9-12, 2012, Kyiv, Ukraine.
V. Laria and A. Tunik, “Gyro-free accelerometer based SINS: Algorithms and Structures,” 2-nd International Conference “Methods and Systems of Navigation and Motion Control”. Proceedings. Oct. 9-12, 2012, Kyiv, Ukraine.
Y. Opanasiuk, “Theoretical framework to construct optimal flights safety diagnostic procedures,” 2-nd International Conference “Methods and Systems of Navigation and Motion Control”. Proceedings. Oct. 9-12, 2012, Kyiv, Ukraine.
Kenneth R. Britting. Inertial Navigation System Analysis, John Wiley&Sons, 1971
Yu. Opanasiuk. “Inertial Measurement Unit and External Influence Duration” 2018 IEEE 5th International Conference on MSNMC”, Proceedings Oct 16-18 2018, Kyiv Ukraine.
I. V. Savelyev, Physics General Course. Moscow, “Mir”, 1980.
L. D. Landau and E. M. Lifshits, Mechanics, Third Edition. Moscow, “Nauka,” 1973, (in Russian).
Downloads
Issue
Section
License
Authors who publish with this journal agree to the following terms:
Authors retain copyright and grant the journal right of first publication with the work simultaneously licensed under a Creative Commons Attribution License that allows others to share the work with an acknowledgement of the work's authorship and initial publication in this journal.
Authors are able to enter into separate, additional contractual arrangements for the non-exclusive distribution of the journal's published version of the work (e.g., post it to an institutional repository or publish it in a book), with an acknowledgement of its initial publication in this journal.
Authors are permitted and encouraged to post their work online (e.g., in institutional repositories or on their website) prior to and during the submission process, as it can lead to productive exchanges, as well as earlier and greater citation of published work (See The Effect of Open Access).