Some properties of the Kalman filter in the problem of walker navigation
Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 3 (2023), pp. 56-61 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

A pedestrian navigation system consisting of two foot-mounted strapdown inertial navigation systems (SINS) is considered. The zero velocity conditions of the foot in the stance phase of a step and a limited distance between the feet are used for SINS corrections. The aim of the work is to study some consistency properties of the extended Kalman filter. It is shown that this consistency depends on a form of the error equations.
@article{VMUMM_2023_3_a8,
     author = {Yu. V. Bolotin and A. V. Bragin},
     title = {Some properties of the {Kalman} filter in the problem of walker navigation},
     journal = {Vestnik Moskovskogo universiteta. Matematika, mehanika},
     pages = {56--61},
     year = {2023},
     number = {3},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VMUMM_2023_3_a8/}
}
TY  - JOUR
AU  - Yu. V. Bolotin
AU  - A. V. Bragin
TI  - Some properties of the Kalman filter in the problem of walker navigation
JO  - Vestnik Moskovskogo universiteta. Matematika, mehanika
PY  - 2023
SP  - 56
EP  - 61
IS  - 3
UR  - http://geodesic.mathdoc.fr/item/VMUMM_2023_3_a8/
LA  - ru
ID  - VMUMM_2023_3_a8
ER  - 
%0 Journal Article
%A Yu. V. Bolotin
%A A. V. Bragin
%T Some properties of the Kalman filter in the problem of walker navigation
%J Vestnik Moskovskogo universiteta. Matematika, mehanika
%D 2023
%P 56-61
%N 3
%U http://geodesic.mathdoc.fr/item/VMUMM_2023_3_a8/
%G ru
%F VMUMM_2023_3_a8
Yu. V. Bolotin; A. V. Bragin. Some properties of the Kalman filter in the problem of walker navigation. Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 3 (2023), pp. 56-61. http://geodesic.mathdoc.fr/item/VMUMM_2023_3_a8/

[1] Skog I., Nilsson J., Zachariah D., Handel P., “Fusing the information from two navigation systems using an upper bound on their maximum spatial separation”, Proc. IPIN 2012 (Sydney, 2012), 1–5

[2] Bar-Shalom Y., Li X., Kirubarajan T., Estimation with applications to tracking and navigation, Wiley Interscience, N.Y., 2001

[3] Huang G., Kaess M., Leonard J., “Towards consistent visual-inertial navigation”, Proc. IEEE Int. Conf. on Robotics and Automation (ICRA) (Hong Kong, 2014), 2014, 4926–4933

[4] Aidala V.J., Hammel S.E., “Utilization of modified polar coordinates for bearings-only tracking”, IEEE Trans. Autom. Control, AC-28:3 (1983), 283–294 | DOI | Zbl

[5] Golovan A.A., Vavilova N.B., Parusnikov N.A., Matematicheskie osnovy inertsialnykh navigatsionnykh sistem, Izd-vo Mosk. un-ta, M., 2020

[6] Bolotin Y., Bragin A., Gartseev I., “Covariance error analysis for pedestrian dead reckoning with foot mounted IMU”, CEUR Workshop Proc., 2498, 2019, 243–250

[7] Bolotin Y.V., Bragin A.V., Gulevskii D.V., “Issledovanie sostoyatelnosti rasshirennogo filtra Kalmana v zadache navigatsii peshekhoda s BINS, zakreplennymi na stopakh”, Giroskopiya i navigatsiya, 29:2 (2021), 59–77