Structure discrimination in block-oriented models using linear approximations: A theoretic framework

Johan Schoukens; Rik Pintelon; Yves Rolain; Maarten Schoukens; Koen Tiels; Laurent Vanbeylen; Anne Van Mulders; Gerd Vandersteen

doi:10.1016/j.automatica.2014.12.045

Structure discrimination in block-oriented models using linear approximations: A theoretic framework

Johan Schoukens, Rik Pintelon, Yves Rolain, Maarten Schoukens, Koen Tiels, Laurent Vanbeylen, Anne Van Mulders, Gerd Vandersteen

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

29 Citations (Scopus)

Abstract

In this paper we show that it is possible to retrieve structural information about complex block-oriented nonlinear systems, starting from linear approximations of the nonlinear system around different setpoints. The key idea is to monitor the movements of the poles and zeros of the linearized models and to reduce the number of candidate models on the basis of these observations. Besides the well known open loop single branch Wiener-, Hammerstein-, and Wiener-Hammerstein systems, we also cover a number of more general structures like parallel (multi branch) Wiener-Hammerstein models, and closed loop block oriented models, including linear fractional representation (LFR) models.

Original language	English
Pages (from-to)	225-234
Number of pages	10
Journal	Automatica
Volume	53
DOIs	https://doi.org/10.1016/j.automatica.2014.12.045
Publication status	Published - 1 Jan 2015
Externally published	Yes

Keywords

Block-oriented models
Feedback structures
Linear approximations
Parallel structures
Wiener-Hammerstein systems

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10.1016/j.automatica.2014.12.045

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abstract = "In this paper we show that it is possible to retrieve structural information about complex block-oriented nonlinear systems, starting from linear approximations of the nonlinear system around different setpoints. The key idea is to monitor the movements of the poles and zeros of the linearized models and to reduce the number of candidate models on the basis of these observations. Besides the well known open loop single branch Wiener-, Hammerstein-, and Wiener-Hammerstein systems, we also cover a number of more general structures like parallel (multi branch) Wiener-Hammerstein models, and closed loop block oriented models, including linear fractional representation (LFR) models.",

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T2 - A theoretic framework

AU - Schoukens, Johan

AU - Pintelon, Rik

AU - Rolain, Yves

AU - Schoukens, Maarten

AU - Tiels, Koen

AU - Vanbeylen, Laurent

AU - Van Mulders, Anne

AU - Vandersteen, Gerd

PY - 2015/1/1

Y1 - 2015/1/1

N2 - In this paper we show that it is possible to retrieve structural information about complex block-oriented nonlinear systems, starting from linear approximations of the nonlinear system around different setpoints. The key idea is to monitor the movements of the poles and zeros of the linearized models and to reduce the number of candidate models on the basis of these observations. Besides the well known open loop single branch Wiener-, Hammerstein-, and Wiener-Hammerstein systems, we also cover a number of more general structures like parallel (multi branch) Wiener-Hammerstein models, and closed loop block oriented models, including linear fractional representation (LFR) models.

AB - In this paper we show that it is possible to retrieve structural information about complex block-oriented nonlinear systems, starting from linear approximations of the nonlinear system around different setpoints. The key idea is to monitor the movements of the poles and zeros of the linearized models and to reduce the number of candidate models on the basis of these observations. Besides the well known open loop single branch Wiener-, Hammerstein-, and Wiener-Hammerstein systems, we also cover a number of more general structures like parallel (multi branch) Wiener-Hammerstein models, and closed loop block oriented models, including linear fractional representation (LFR) models.

KW - Block-oriented models

KW - Feedback structures

KW - Linear approximations

KW - Parallel structures

KW - Wiener-Hammerstein systems

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SN - 0005-1098

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JO - Automatica

JF - Automatica

ER -

Structure discrimination in block-oriented models using linear approximations: A theoretic framework

Abstract

Keywords

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