Title
Sequential covariance intersection fusion Kalman filter
Abstract
For multisensor system with unknown cross-covariances among local estimation errors, the batch covariance intersection (BCI) fusion estimation algorithm requires the optimization of a multi-dimensional nonlinear cost function, which yields a larger computational burden and computational complexity. A fast sequential covariance intersection (SCI) Kalman filtering algorithm is presented in this paper, which only requires to solve the optimization problem of several one-dimensional nonlinear cost functions. It is equivalent to several two-sensor covariance intersection (CI) Kalman fusers, and is a recursive two-sensor CI Kalman fuser. Its accuracy depends on the orders of sensors. It is proved that the SCI fuser is consistent, and its accuracy is higher than that of each local estimator and is lower than that of the optimal Kalman fuser with known cross-covariances. The geometric interpretation of accuracy relations based on the covariance ellipses is given, and the properties of the covariance ellipses are rigorously proved. Two Monte-Carlo simulation examples show the effectiveness of the proposed results, show that the accuracies of the SCI fusers are not very sensitive with respect to the orders of sensors, and show that its actual accuracy is close to that of the optimal Kalman fuser in general cases, and its robust accuracy is close to that of the BCI fuser, so it has good performances.
Year
DOI
Venue
2012
10.1016/j.ins.2011.11.038
Inf. Sci.
Keywords
Field
DocType
optimal kalman fuser,sequential covariance intersection fusion,covariance ellipse,batch covariance intersection,accuracy relation,bci fuser,robust accuracy,sci fuser,kalman fusers,fast sequential covariance intersection,actual accuracy,covariance intersection,sensitivity,robustness
Extended Kalman filter,Covariance intersection,Kalman filter,Robustness (computer science),Artificial intelligence,Optimization problem,Mathematics,Machine learning,Estimator,Covariance,Computational complexity theory
Journal
Volume
ISSN
Citations 
189,
0020-0255
48
PageRank 
References 
Authors
1.84
22
5
Name
Order
Citations
PageRank
Zi-li Deng151444.75
Peng Zhang21125.74
Wenjuan Qi31126.76
Jinfang Liu4712.64
Yuan Gao5713.32