Title
State estimators for systems with random parameter matrices, stochastic nonlinearities, fading measurements and correlated noises.
Abstract
Using the innovation analysis approach, the optimal linear state estimators, including the filter, predictor and smoother, in the linear minimum variance (LMV) sense are presented for a class of nonlinear discrete-time stochastic uncertain systems with fading measurements and correlated noises. Stochastic uncertainties of parameter matrices are depicted by correlated multiplicative noises. Stochastic nonlinearities are characterized by a known conditional mean and covariance. Different sensor channels have different fading measurement rates. The process and measurement noises are finite-step auto- and/or cross-correlated with each other. Two simulation examples verify the effectiveness of the proposed algorithms.
Year
DOI
Venue
2017
10.1016/j.ins.2017.02.048
Inf. Sci.
Keywords
Field
DocType
State estimator,Random parameter matrix,Stochastic nonlinearity,Fading measurement,Correlated noise,Innovation analysis approach
Minimum-variance unbiased estimator,Applied mathematics,Discrete mathematics,Nonlinear system,Multiplicative function,Matrix (mathematics),Fading,Control theory,Conditional expectation,Mathematics,Estimator,Covariance
Journal
Volume
Issue
ISSN
397
C
0020-0255
Citations 
PageRank 
References 
13
0.55
16
Authors
3
Name
Order
Citations
PageRank
Shuli Sun173452.41
Tian Tian28618.09
Honglei Lin3679.27