Abstract
The problem of adaptive estimation for measurement noise covariance matrix in Kalman filter is analytically solved based on accurate observations obtained irregularly. The results of numerical modeling are provided. These results illustrate the key advantages of state vector stochastic estimation algorithm based on proposed approach in comparison to conventional one.
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References
Welch, G., Bishop, G., et al.: An introduction to the kalman filter (1995)
Anderson, B.D.: Exponential data weighting in the kalman-bucy filter. Inf. Sci. 5, 217–230 (1973)
Sasiadek, J., Wang, Q.: Low cost automation using INS/GPS data fusion for accurate positioning. Robotica 21(3), 255–260 (2003)
Herrera, E.P., Kaufmann, H.: Adaptive methods of Kalman filtering for personal positioning systems. In: Proceedings of the 23rd International Technical Meeting of the Satellite Division of the Institute of Navigation, Portland, OR, USA, pp. 21–24 (2010)
Hide, C., Moore, T., Smith, M.: Adaptive Kalman filtering algorithms for integrating GPS and low cost ins. In: PLANS 2004. Position Location and Navigation Symposium (IEEE Cat. No. 04CH37556), pp. 227–233. IEEE (2004)
Hu, C., Chen, W., Chen, Y., Liu, D., et al.: Adaptive kalman filtering for vehicle navigation. J. Glob. Positioning Syst. 2(1), 42–47 (2003)
Mehra, R.: On the identification of variances and adaptive kalman filtering. IEEE Trans. Autom. Control 15(2), 175–184 (1970)
Mohamed, A., Schwarz, K.: Adaptive kalman filtering for INS/GPS. J. Geodesy 73(4), 193–203 (1999)
Litvin, M., Malyugina, A., Miller, A., Stepanov, A., Chirkin, D.: Types of errors in inertial navigation systems and methods of their approximation (tipy oshibok v inertsial’nykh navigatsionnykh sistemakh i metody ikh approksimatsii). Informatsionnye processy 14(4), 326–339 (2014). (in Russian)
Reznichenko, V., Maleev, P., Smirnov, M.: Types of errors in inertial navigation systems and methods of their approximation (tipy oshibok v inertsial’nykh navigatsionnykh sistemakh i metody ikh approksimatsii). Navigatsiya i gidrografiya 27, 25–32 (2008). (in Russian)
Looney, M.: Inertial sensors facilitate autonomous operation in mobile robots. Analog Dialogue 44, 1–4 (2010)
Tsyplakov, A.: Introduction to state space modeling (vvedeniye v modelirovaniye v prostranstve sostoyaniy). Kvantyl 9, 1–24 (2011). (in Russian)
Shilina, V.: Inertial sensor system for indoor navigation (sistema inertsial’nykh datchikov dlya navigatsii vnutri pomeshcheniy). Molodezhnyy nauchno-tekhnicheskiy vestnik 4, 39 (2015). (in Russian)
Polyakova, M., Sokolova, O.: Improving the accuracy of adaptive filtering based on the use of non-periodic accurate observations (povysheniye tochnosti adaptivnoy fil’tratsii na osnove ispol’zovaniya neperiodicheskikh tochnykh nablyudeniy). Tekhnologii razrabotki informatsionnykh sistem TRIS, pp. 61–64 (2016). (in Russian)
Velikanova, E., Voroshilin, E.: Adaptive filtering of the coordinates of a maneuvering object when the transmission conditions in the radar channel change (adaptivnaya fil’tratsiya koordinat manevriruyushchego ob”yekta pri izmeneniyakh usloviy peredachi v radiolokatsionnom kanale). Doklady Tomskogo gosudarstvennogo universiteta sistem upravleniya i radioelektroniki 2–1 (26), 29–35 (2012). (in Russian)
Acknowledgement
This work was supported by RFBR (Grants No. 17-20-01040 ofi_m_RZD, No. 18-07-00126).
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Sokolov, S.V., Sukhanov, A.V., Chub, E.G., Manin, A.A. (2020). Analytical Decision of Adaptive Estimation Task for Measurement Noise Covariance Matrix Based on Irregular Certain Observations. In: Kovalev, S., Tarassov, V., Snasel, V., Sukhanov, A. (eds) Proceedings of the Fourth International Scientific Conference “Intelligent Information Technologies for Industry” (IITI’19). IITI 2019. Advances in Intelligent Systems and Computing, vol 1156. Springer, Cham. https://doi.org/10.1007/978-3-030-50097-9_60
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