EFFICIENCY ANALYSIS OF EXTENDED KALMAN FILTERING, UNSCENTED KALMAN FILTERING AND UNSCENTED PARTICLE FILTERING
Abstract
The paper contains algorithms for solving the problem of nonlinear filtering. The nonlinear approximate filters presented are: the extended Kalman filter (EKF), the uncented Kalman filter (UKF) and unscented Particle Filter (UPF). The flow-charts for the listed algorithms are presented and a corresponding software complex based on these algorithms is developed. Using this complex a number of worked-out numerical simulations for both linear and nonlinear models are resulted.
References
1. Panteleev A.V., Rudenko E.A., Bortakovsky A.S. Nonlinear control systems: description, analysis and synthesis. Moscow. 2008. (in Russian).
2. Chen Z. Bayesian filtering: From Kalman filters to particle filters, and beyond // Statistics. 2003. № 1. Pp. 1–69.
3. Haug A. A tutorial on Bayesian estimation and tracking techniques applicable to nonlinear and non-Gaussian process. MITRE Technical Report MTR 05W0000004. MCLean: The MITRE Corporation, 2005.
4. Julier S.J., Uhlmann J.K. Unscented filtering and nonlinear estimation. Proc. Of IEEE. 2004. No. 3. Pp. 401–422.
5. Julier S., Uhlmann J., Durrant-Whyte H. A New Method for the Nonlinear Transformation of Means and Covariances in Filters and Estimators. IEEE Trans. on Aut. Contr. Vol. 45, No. 3, 2000.
6. Miller B.M., Pankov A.R. Stochastic processes: theory and practice. Moscow. 2002. 320 p. (in Russian).
7. Doucet A., Johansen A.M. A tutorial on particle filtering and smoothing: Fifteen years later // Oxford handbook of nonlinear filtering. Oxford: Oxford University Press, 2011. Pp. 656–704.
8. Simon D. Optimal state estimation: Kalman, H and nonlinear approaches. John Wiley & Sons. 2006.
9. Konovalov A.A. Basic principles of radar data processing. Saint-Petersburg. 2014. 180 p. (in Russian).
10. Kudryavtseva I.A., Nasonova L.R. Solution of stochastic discrete filtering problem by using particle filters. Abstracts of 14th International Conference "Aviation and Cosmonautics". Moscow, 2015, Pp. 437–438. (in Russian).
Review
For citations:
Kudryavtseva I.A. EFFICIENCY ANALYSIS OF EXTENDED KALMAN FILTERING, UNSCENTED KALMAN FILTERING AND UNSCENTED PARTICLE FILTERING. Civil Aviation High Technologies. 2016;(224):43-51. (In Russ.)
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