Identification of a Wiener–Hammerstein system using the polynomial nonlinear state space approach

In this paper, the Polynomial NonLinear State Space (PNLSS) approach is applied to model a nonlinear system with a Wiener–Hammerstein structure. To obtain good initial estimates, the best linear approximation of the system under test is first identified. Next, this linear model is extended to a poly...

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Bibliographic Details
Published in:Control engineering practice 2012-11, Vol.20 (11), p.1133-1139
Main Authors: Paduart, J., Lauwers, L., Pintelon, R., Schoukens, J.
Format: Article
Language:English
Subjects:
Approximation
Best linear approximation
Dynamical systems
Estimates
Mathematical analysis
Nonlinear dynamics
Nonlinearity
State space models
System identification
Wiener–Hammerstein systems
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Summary:In this paper, the Polynomial NonLinear State Space (PNLSS) approach is applied to model a nonlinear system with a Wiener–Hammerstein structure. To obtain good initial estimates, the best linear approximation of the system under test is first identified. Next, this linear model is extended to a polynomial nonlinear state space model to capture also the system's nonlinear behavior. The identification procedure is applied to measurement data.
ISSN:0967-0661
1873-6939
DOI:10.1016/j.conengprac.2012.06.006