Title
Identification of block-oriented systems in the presence of nonparametric input nonlinearities of switch and backlash types
Abstract
The problem of identifying Hammerstein-like systems containing dynamic nonlinearities, of the switch or backlash types, is considered. Interestingly, the nonlinearity borders are nonparametric borders (i.e. of unknown structure) and so are allowed to be noninvertible and cross each other. A semi-parametric identification approach is developed to estimate the linear subsystem parameters and m points on both nonlinearity borders. It relies on two main experiments designed so that during each one, the focus is on one lateral border exciting m specific points. Doing so, the initial nonparametric identification problem is decomposed into two simpler problems involving static parametric nonlinearities. The new problems are dealt with independently using least squares type estimators. It is formally shown that the experiments generate persistently exciting signals ensuring the consistency of all involved parameter estimators.
Year
DOI
Venue
2010
10.1016/j.automatica.2010.02.020
Automatica
Keywords
Field
DocType
System identification,Hammerstein-like systems,Nonparametric nonlinearities,Switch,Backlash,Experiment design,Persistent excitation,Estimator consistency
Least squares,Nonlinear system,Backlash,Control theory,Nonparametric statistics,Parametric statistics,System identification,Mathematics,Parameter identification problem,Estimator
Journal
Volume
Issue
ISSN
46
5
Automatica
Citations 
PageRank 
References 
12
0.76
6
Authors
4
Name
Order
Citations
PageRank
Y. Rochdi1383.97
F. Giri211029.41
J. B. Gning3122.45
F. Z. Chaoui4496.37