Title
Distributed optimal fusion steady-state Kalman filter for systems with coloured measurement noises
Abstract
Based on the optimal fusion criterion weighted by matrices in the linear minimum variance sense, an optimal information fusion steady-state Kalman filter is given for the discrete time-invariant linear stochastic control system measured by multiple sensors with coloured measurement noises, which is equivalent to an optimal information fusion steady-state Kalman predictor with a two-layer fusion structure for system with correlated noises. Furthermore, the steady-state optimal fusion predictor can be obtained only by fusing once after all local subsystems enter the steady-state predictions. The solution of steady-state prediction error cross-covariance matrix between any two subsystems can be obtained by iteration with an arbitratry initial value, whose convergence is proved. Applying it to a tracking system with three sensors shows its effectiveness.
Year
DOI
Venue
2005
10.1080/00207720412331323280
Int. J. Systems Science
Keywords
Field
DocType
steady-state optimal fusion predictor,kalman predictor,control system,optimal information fusion steady-state,kalman filter,steady-state prediction,tracking system,two-layer fusion structure,optimal fusion steady-state,coloured measurement noise,steady-state prediction error cross-covariance,optimal fusion criterion,covariance matrix,prediction error,stochastic control,discrete time,minimum variance,steady state
Convergence (routing),Minimum-variance unbiased estimator,Optimality criterion,Control theory,Matrix (mathematics),Kalman filter,Sensor fusion,Covariance matrix,Mathematics,Stochastic control
Journal
Volume
Issue
ISSN
36
3
0020-7721
Citations 
PageRank 
References 
12
0.82
1
Authors
2
Name
Order
Citations
PageRank
Shuli Sun173452.41
Zi-li Deng251444.75