Identification of block-oriented systems in the presence of nonparametric input nonlinearities of switch and backlash types

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-par...

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Bibliographic Details
Published in:Automatica (Oxford) 2010-05, Vol.46 (5), p.864-877
Main Authors: Rochdi, Y., Giri, F., Gning, J.B., Chaoui, F.Z.
Format: Article
Language:English
Subjects:
Applied sciences
Automatic
Automatic Control Engineering
Backlash
Borders
Computer Science
Computer science
control theory
systems
Control theory. Systems
Dynamical systems
Engineering Sciences
Estimator consistency
Estimators
Exact sciences and technology
Excitation
Experiment design
Hammerstein-like systems
Modelling and identification
Nonlinear dynamics
Nonlinearity
Nonparametric nonlinearities
Persistent excitation
Switch
Switches
System identification
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Summary: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.
ISSN:0005-1098
1873-2836
DOI:10.1016/j.automatica.2010.02.020