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Modeling and control of Hammerstein system using B-spline approximation and the inverse of De Boor algorithm

Modeling and control of Hammerstein system using B-spline approximation and the inverse of De Boor algorithm
Modeling and control of Hammerstein system using B-spline approximation and the inverse of De Boor algorithm
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.
0020-7721
1976-1984
Hong, Xia
e6551bb3-fbc0-4990-935e-43b706d8c679
Michell, Richard
643e3261-3918-4521-af3e-0e2b9a8655c3
Chen, Sheng
9310a111-f79a-48b8-98c7-383ca93cbb80
Hong, Xia
e6551bb3-fbc0-4990-935e-43b706d8c679
Michell, Richard
643e3261-3918-4521-af3e-0e2b9a8655c3
Chen, Sheng
9310a111-f79a-48b8-98c7-383ca93cbb80

Hong, Xia, Michell, Richard and Chen, Sheng (2012) Modeling and control of Hammerstein system using B-spline approximation and the inverse of De Boor algorithm. International Journal of Systems Science, 43 (10), 1976-1984. (doi:10.1080/00207721.2011.564320).

Record type: Article

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.

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Published date: October 2012
Organisations: Southampton Wireless Group

Identifiers

Local EPrints ID: 342009
URI: http://eprints.soton.ac.uk/id/eprint/342009
ISSN: 0020-7721
PURE UUID: 3b538587-c875-45b9-a5c1-b78f066d3b54

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Date deposited: 09 Aug 2012 14:41
Last modified: 02 Dec 2019 20:56

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