Extended Symmetric Sampling Strategy for Unscented Kalman Filter

Authors:
Fuming Sun;Yonghong Ma;Jingli Wang
Affiliations:
-;-;-
Venue:
CASE '09 Proceedings of the 2009 IITA International Conference on Control, Automation and Systems Engineering (case 2009)
Year:
2009

Citing 0
Cited 2

Performance analysis of UKF for nonlinear problems

IITA'09 Proceedings of the 3rd international conference on Intelligent information technology application
Sparse-grid quadrature nonlinear filtering

Automatica (Journal of IFAC)

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Abstract

This paper concerns the unscented Kalman filter (UKF) for the nonlinear dynamic systems. The sampling principle of UKF is firstly addressed, which is based on moment matching method. Then we designed an extended symmetric sampling strategy, given an n-dimensional state, which defines 4n+1 symmetric points that lie on axes to fully represent the mean and covariance of the state. The performance of the two UKFs, namely, the UKF and the extended symmetric UKF (EUKF), is compared by using the mean of the root of mean square error. The simulation results showed that EUKF outperforms the UKF in the presence of strong noise and the scalar k is a key factor involved in both UKFs.