Title
Distributed nonlinear Kalman filter with communication protocol
Abstract
This paper proposes an optimal design of the general distributed nonlinear Kalman-based filtering algorithm to tackle the discrete-time estimation problem with noisy communication networks. The algorithm extends the Kalman filter by enabling it to predict the noisy communication data and fuse it with the received neighboring information to produce a posterior estimate value. In the prediction step, the unscented transformations of the estimate values and covariances originated in the Unscented Kalman Filter (UKF) are exploited. In the update step, a communication protocol is appended to the posterior estimator, which consequently leads to a modified posterior error covariance containing the covariance of the communication term with its communication gain. Both Kalman and communication gains are then optimised to collectively minimise the mean-squared estimation error. Afterwards, stochastic stability analysis is performed to guarantee its exponential boundedness. To exemplify the performance, this algorithm is applied to a group of robots in a sensor network assigned to estimate an unknown information distribution over an area in the optimal coverage control problem. Comparative numerical experiments finally verify the effectiveness of our design.
Year
DOI
Venue
2020
10.1016/j.ins.2019.10.053
Information Sciences
Keywords
Field
DocType
Distributed nonlinear Kalman filter,Nonlinear estimation,Communication protocol,Sensor network,Optimal coverage control
Nonlinear system,Filter (signal processing),Algorithm,Kalman filter,Optimal design,Artificial intelligence,Wireless sensor network,Mathematics,Machine learning,Covariance,Communications protocol,Estimator
Journal
Volume
ISSN
Citations 
513
0020-0255
1
PageRank 
References 
Authors
0.35
0
3
Name
Order
Citations
PageRank
Hilton Tnunay110.68
Zhenhong Li216547.51
Zhengtao Ding3315.53