Title
Combined state and parameter estimation for a bilinear state space system with moving average noise.
Abstract
This paper considers the identification problem of bilinear systems with measurement noise in the form of the moving average model. In particular, we present an interactive estimation algorithm for unmeasurable states and parameters based on the hierarchical identification principle. For unknown states, we formulate a novel bilinear state observer from input-output measurements using the Kalman filter. Then a bilinear state observer based multi-innovation extended stochastic gradient (BSO-MI-ESG) algorithm is proposed to estimate the unknown system parameters. A linear filter is utilized to improve the parameter estimation accuracy and a filtering based BSO-MI-ESG algorithm is presented using the data filtering technique. In the numerical example, we illustrate the effectiveness of the proposed identification methods.
Year
DOI
Venue
2018
10.1016/j.jfranklin.2018.01.011
Journal of the Franklin Institute
Field
DocType
Volume
State observer,Control theory,Filter (signal processing),Kalman filter,Estimation theory,State space,Moving average,Parameter identification problem,Mathematics,Bilinear interpolation
Journal
355
Issue
ISSN
Citations 
6
0016-0032
20
PageRank 
References 
Authors
0.54
27
4
Name
Order
Citations
PageRank
xiao zhang110330.75
Ling Xu237419.13
Feng Ding34973231.42
Tasawar Hayat499971.98