Title
Hierarchical recursive least squares parameter estimation of non-uniformly sampled Hammerstein nonlinear systems based on Kalman filter.
Abstract
This paper focuses on parameter estimation problems for non-uniformly sampled Hammerstein nonlinear systems. By combining the lifting technique and state space transformation, we derive a nonlinear regression identification model with different input and output updating rates. Furthermore, the unmeasurable state vector is estimated by Kalman filter, and by using the hierarchical identification principle, we develop a hierarchical recursive least squares algorithm for estimating the unknown parameters of the identification model. Finally, illustrative examples are given to indicate that the proposed algorithm is effective.
Year
DOI
Venue
2017
10.1016/j.jfranklin.2017.02.010
Journal of the Franklin Institute
Field
DocType
Volume
Mathematical optimization,State vector,Nonlinear system,Control theory,Nonlinear regression,Kalman filter,Input/output,Estimation theory,State space,Mathematics,Recursive least squares filter
Journal
354
Issue
ISSN
Citations 
10
0016-0032
3
PageRank 
References 
Authors
0.40
15
5
Name
Order
Citations
PageRank
Lincheng Zhou1273.92
Xiangli Li230.40
Lijie Shan330.40
Jing Xia46611.85
Wei Chen51711246.70