Identification of nonlinear systems using Polynomial Nonlinear State Space models

Authors:
Johan Paduart;Lieve Lauwers;Jan Swevers;Kris Smolders;Johan Schoukens;Rik Pintelon
Affiliations:
Vrije Universiteit Brussel, dep. ELEC, Pleinlaan 2, 1050 Brussels, Belgium;Vrije Universiteit Brussel, dep. ELEC, Pleinlaan 2, 1050 Brussels, Belgium;Katholieke Universiteit Leuven, dep. PMA, Celestijnenlaan 300 B, 3001 Heverlee, Belgium;Katholieke Universiteit Leuven, dep. PMA, Celestijnenlaan 300 B, 3001 Heverlee, Belgium;Vrije Universiteit Brussel, dep. ELEC, Pleinlaan 2, 1050 Brussels, Belgium;Vrije Universiteit Brussel, dep. ELEC, Pleinlaan 2, 1050 Brussels, Belgium
Venue:
Automatica (Journal of IFAC)
Year:
2010

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Abstract

In this paper, we propose a method to model nonlinear systems using polynomial nonlinear state space equations. Obtaining good initial estimates is a major problem in nonlinear modelling. It is solved here by identifying first the best linear approximation of the system under test. The proposed identification procedure is successfully applied to measurements of two physical systems.