Identification of Nonlinear Systems

Brouri, Adil; Kadi, Laila; Slassi, Smail

doi:10.1109/eecs.2017.59

Cited by 7 publications

(4 citation statements)

References 12 publications

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“…This model is more difficult than Hammerstein model (nonlinearity element followed by linear dynamic element). The usefulness of this nonlinear model has practically been confirmed in various domains fields [4] - [6].…”

Section: Introductionmentioning

confidence: 83%

Spectral Determination of Nonlinear System Parameters

Brouri

Benyassi

2019

ITM Web Conf.

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In this paper we propose an identification method of nonlinear system. This later can be structured by Wiener models. The determination of nonlinear system parameters can be done using spectral analysis. The system nonlinearity is allowed to be noninvertible general shape nonlinearity but it must be approximated by a polynomial function. The polynomial degree n can vary from one interval to another. The linear dynamic element is not-necessarily parametric but BIBO stable. In this work, a spectral method is developed allowing the estimates of the complex frequency gain as well as the estimates of nonlinear block parameters the identification method is built using one stage.

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Section: Introductionmentioning

confidence: 83%

Spectral Determination of Nonlinear System Parameters

Brouri

Benyassi

2019

ITM Web Conf.

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“…Unlike many of previous works e.g. [4], the model structure of the linear block is entirely unknown. Furthermore, the system nonlinearity is of arbitraryshape and can be noninvertible.…”

Section: Fig 1 Nonparametric Hammerstein Systemmentioning

confidence: 97%

“…Nonlinear system identification has been an active research area, especially over the last two decade [1]- [4]. Parameters determination of black-box nonlinear system is a very wide research area [1]- [4]. These models can describe several industrial systems, e.g.…”

Section: Introductionmentioning

confidence: 99%

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Identification of Nonparametric Nonlinear Systems

Benyassi

Brouri

2019

ITM Web Conf.

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Presently, a modelling and identification of nonlinear systems is proposed. This study is developed based on spectral approach. The proposed nonlinear system is nonparametric and can be described by Hammerstein models. These systems consist of nonlinear element followed by a linear block. This latter (the linear subsystem) is not necessarily parametric and the nonlinear function can be nonparametric smooth nonlinearity. This identification problem of Hammerstein models is studied in the presence of possibly infinite-order linear dynamics. The determination of linear and nonlinear block can be done using a unique stage.

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