Title
Modelling and control of Hammerstein system using B-spline approximation and the inverse of De Boor algorithm
Abstract
In this article a simple and effective controller design is introduced for the Hammerstein systems that are identified based on observational input/output data. The nonlinear static function in the Hammerstein system is modelled using a B-spline neural network. The controller is composed by computing the inverse of the B-spline approximated nonlinear static function, and a linear pole assignment controller. The contribution of this article is the inverse of De Boor algorithm that computes the inverse efficiently. Mathematical analysis is provided to prove the convergence of the proposed algorithm. Numerical examples are utilised to demonstrate the efficacy of the proposed approach.
Year
DOI
Venue
2012
10.1080/00207721.2011.564320
Int. J. Systems Science
Keywords
Field
DocType
mathematical analysis,effective controller design,hammerstein system,de boor algorithm,linear pole assignment controller,numerical example,b-spline neural network,b-spline approximation,proposed algorithm,nonlinear static function,b spline,neural network,input output,system identification
Convergence (routing),B-spline,Inverse,Mathematical optimization,Control theory,Nonlinear system,Control theory,De Boor's algorithm,System identification,Artificial neural network,Mathematics
Journal
Volume
Issue
ISSN
43
10
0020-7721
Citations 
PageRank 
References 
5
0.47
10
Authors
3
Name
Order
Citations
PageRank
X. Hong115711.12
R. J. Mitchell2593.28
S. Chen350.47