CCE Faculty Articles
Identification of Nonlinear Systems Using a B-Splines Parametric Subspace Approach
Event Date/Location
San Diego, CA
Document Type
Article
Date
6-1999
Publication Title
Proceedings of the American Control Conference
ISSN or ISBN
0743-1619
First Page
3955
Last Page
3959
Description
System identification theory has benefited from developments in numerical linear algebra, in particular, generalizations and extensions of the singular value decomposition. Thanks to these new developments, a new class of algorithms collectively known as subspace algorithms has emerged. These algorithms have the advantage of working directly in the state-space domain, which makes them quite appealing for designing model-based controllers. Extensions to nonlinear systems have appeared for bilinear and Hammerstein systems. We introduce a B-splines subspace approach for identifying nonlinear systems. It is based on a parametric B-splines transformation of the inputs, followed by linear system identification. In this sense, our approach identifies a Hammerstein model with B-splines as the input basis. Since the inputs depend parametrically on the spline functions, an iterative procedure is developed for obtaining the optimal parameters. An example of a rainfall-runoff application is presented.
DOI
10.1109/ACC.1999.786259
NSUWorks Citation
Ramos, Jose A. and Durand, J. F., "Identification of Nonlinear Systems Using a B-Splines Parametric Subspace Approach" (1999). CCE Faculty Articles. 389.
https://nsuworks.nova.edu/gscis_facarticles/389