Square-root cubature Kalman filter (SCKF) is more effective for nonlinear state estimation than an unscented Kalman filter. In this paper
we study the design of nonlinear filters based on SCKF for the system with one step noise correlation and abrupt state change. First
we give the SCKF that deals with the one step correlation between process and measurement noises
SCKF-CN in short. Second
we introduce the idea of a strong tracking filter to construct the adaptive square-root factor of the prediction error covariance with a fading factor
which makes SCKF-CN obtain outstanding tracking performance to the system with target maneuver or abrupt state change. Accordingly
the tracking performance of SCKF is greatly improved. A universal nonlinear estimator is proposed
which can not only deal with the conventional nonlinear filter problem with high dimensionality and correlated noises
but also achieve an excellent strong tracking performance towards the abrupt change of target state. Three simulation examples with a bearings-only tracking system are illustrated to verify the efficiency of the proposed algorithms.
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