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

Hong, X. ORCID: https://orcid.org/0000-0002-6832-2298, Mitchell, R. and Chen, S. (2012) Modelling and control of Hammerstein system using B-spline approximation and the inverse of De Boor algorithm. International Journal of Systems Science, 43 (10). pp. 1976-1984. ISSN 0020-7721 doi: 10.1080/00207721.2011.564320

Abstract/Summary

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.

Item Type	Article
URI	https://reading-clone.eprints-hosting.org/id/eprint/19973
Item Type	Article
Refereed	Yes
Divisions	Science > School of Mathematical, Physical and Computational Sciences > Department of Computer Science
Uncontrolled Keywords	B-spline; De Boor algorithm; Hammerstein model; pole assignment controller; system identification
Publisher	Taylor & Francis
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