Identification of nonlinear systems using Polynomial Nonlinear State Space models

Johan Paduart; Lieve Lauwers; Jan Swevers; K. Smolders; Joannes Schoukens; Rik Pintelon

Identification of nonlinear systems using Polynomial Nonlinear State Space models

Johan Paduart, Lieve Lauwers, Jan Swevers, K. Smolders, Joannes Schoukens, Rik Pintelon

Electricity

Research output: Contribution to journal › Article › peer-review

236 Citations (Scopus)

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 modeling. 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.

Original language	English
Pages (from-to)	647-656
Number of pages	10
Journal	Automatica
Volume	46
Publication status	Published - 26 Feb 2010

Keywords

System Identification
Nonlinear systems
Multivariable systems
Best linear approximation

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title = "Identification of nonlinear systems using Polynomial Nonlinear State Space models",

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 modeling. 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.",

keywords = "System Identification, Nonlinear systems, Multivariable systems, Best linear approximation",

author = "Johan Paduart and Lieve Lauwers and Jan Swevers and K. Smolders and Joannes Schoukens and Rik Pintelon",

year = "2010",

month = feb,

day = "26",

language = "English",

volume = "46",

pages = "647--656",

journal = "Automatica",

issn = "0005-1098",

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TY - JOUR

T1 - Identification of nonlinear systems using Polynomial Nonlinear State Space models

AU - Paduart, Johan

AU - Lauwers, Lieve

AU - Swevers, Jan

AU - Smolders, K.

AU - Schoukens, Joannes

AU - Pintelon, Rik

PY - 2010/2/26

Y1 - 2010/2/26

N2 - 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 modeling. 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.

AB - 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 modeling. 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.

KW - System Identification

KW - Nonlinear systems

KW - Multivariable systems

KW - Best linear approximation

M3 - Article

SN - 0005-1098

VL - 46

SP - 647

EP - 656

JO - Automatica

JF - Automatica

ER -

Identification of nonlinear systems using Polynomial Nonlinear State Space models

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Keywords

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