2018
DOI: 10.1109/tac.2017.2730480
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A Novel Adaptive Kalman Filter With Inaccurate Process and Measurement Noise Covariance Matrices

Abstract: In this paper, a novel variational Bayesian (VB) based adaptive Kalman filter (VBAKF) for linear Gaussian state-space models with inaccurate process and measurement noise covariance matrices is proposed. By choosing inverse Wishart priors, the state together with the predicted error and measurement noise covariance matrices are inferred based on the VB approach. Simulation results for a target tracking example illustrate that the proposed VBAKF has better robustness to resist the uncertainties of process and m… Show more

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Cited by 493 publications
(287 citation statements)
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“…If τ is too small, the information of the process model will be also lost. According to the research result of [27], the optimal range of the turning parameter is τ ∈ [2,6], which has better estimation performance and estimation accuracy. The forgetting factor ξ also adjusts the influence ofR k−1 .…”
Section: The Proposed Adaptive Cubature Kalman Filtermentioning
confidence: 99%
“…If τ is too small, the information of the process model will be also lost. According to the research result of [27], the optimal range of the turning parameter is τ ∈ [2,6], which has better estimation performance and estimation accuracy. The forgetting factor ξ also adjusts the influence ofR k−1 .…”
Section: The Proposed Adaptive Cubature Kalman Filtermentioning
confidence: 99%
“…The observation arcs are very short, usually only a few minutes, because of the limited field of view (FOV) of optical sensor and high relative angular velocities between observation platform and the space objects. There are many estimation algorithms that have been proposed for the orbit determination from a short-arc angle-only observation, such as genetic algorithms [8], batch [9], or sequential estimators [10][11][12]. However, in these algorithms, an efficient initial orbit determination (IOD) method is required to guarantee the final convergence, which is still not well solved.…”
Section: Introductionmentioning
confidence: 99%
“…As a specific type of variational Bayes whereas the approximated PDF is assumed fully factorized, MF is also widely used in adaptive state estimation and target tracking problems. The MF approximation for adaptive Kalman filtering with unknown measurement noise covariance was presented in [33], which was further extended to both unknown process noise covariance and measurement noise covariance [34], and nonlinear adaptive filtering [35,36]. Ma et al [37] considered the multiple model state estimation problem, and approximated the joint state estimation and model identification through MF approximation.…”
Section: Introductionmentioning
confidence: 99%