Initial estimates for Wiener-Hammerstein models via phase-coupled multisines

Koen Tiels; Maarten Schoukens; Joannes Schoukens

Samenvatting

Block-oriented models are often used to model nonlinear systems. These models consist of linear dynamic (L) and nonlinear static (N) sub-blocks. We propose a simple initialization method for a Wiener-Hammerstein model (LNL cascade). The product of the transfer functions of the two linear blocks can be easily obtained via the best linear approximation (BLA) of the system for a Gaussian excitation. Splitting the global dynamics over the individual blocks turns out to be more difficult. We propose a well-designed multisine excitation and a modified BLA on a shifted frequency grid. The input dynamics are shown to shift with a frequency offset that can be chosen by the user, while the output dynamics do not move. This allows us to separate the two linear blocks via a simple initialization method, based on a linear system identification step. Experimental results obtained from the Wiener-Hammerstein benchmark system illustrate the good performance of the method.

Originele taal-2	English
Titel	Presentation of poster at ERNSI 2014, European Research Network on System Identification, Oostende, Belgium, September 21-24, 2014
Status	Published - 21 sep. 2014
Evenement	ERNSI 2014 - Thermae Palace Hotel, Ostend, Belgium Duur: 21 sep. 2014 → 24 sep. 2014

Workshop

Workshop	ERNSI 2014
Periode	21/09/14 → 24/09/14
Ander	Modelling of dynamical systems is fundamental in almost all disciplines of science and engineering, ranging from life science to plant-wide process control. Engineering uses models for the design and analysis of complex technical systems. System identification concerns the construction, estimation and validation of mathematical models of dynamical physical or engineering phenomena from experimental data. This is the 23rd version of the European Workshop on System Identification, the first one being held in Saint-Malo in 1992. All through these years the workshop has maintained the scope of bringing together European researchers in the area of System Identification, in an informal setting that gives ample opportunities for participants to meet. The workshop program is composed of lectures from invited speakers, lectures from members of the ERNSI community, and poster presentations by -particularly- the PhD students and postdocs that are active in the network.

Citeer dit

@inbook{4988d5fd5123433d8b94133cf99b3ae2,

title = "Initial estimates for Wiener-Hammerstein models via phase-coupled multisines",

abstract = "Block-oriented models are often used to model nonlinear systems. These models consist of linear dynamic (L) and nonlinear static (N) sub-blocks. We propose a simple initialization method for a Wiener-Hammerstein model (LNL cascade). The product of the transfer functions of the two linear blocks can be easily obtained via the best linear approximation (BLA) of the system for a Gaussian excitation. Splitting the global dynamics over the individual blocks turns out to be more difficult. We propose a well-designed multisine excitation and a modified BLA on a shifted frequency grid. The input dynamics are shown to shift with a frequency offset that can be chosen by the user, while the output dynamics do not move. This allows us to separate the two linear blocks via a simple initialization method, based on a linear system identification step. Experimental results obtained from the Wiener-Hammerstein benchmark system illustrate the good performance of the method.",

keywords = "Wiener-Hammerstein models, best linear approximation (BLA)",

author = "Koen Tiels and Maarten Schoukens and Joannes Schoukens",

year = "2014",

month = sep,

day = "21",

language = "English",

booktitle = "Presentation of poster at ERNSI 2014, European Research Network on System Identification, Oostende, Belgium, September 21-24, 2014",

note = "ERNSI 2014 ; Conference date: 21-09-2014 Through 24-09-2014",

}

TY - CHAP

T1 - Initial estimates for Wiener-Hammerstein models via phase-coupled multisines

AU - Tiels, Koen

AU - Schoukens, Maarten

AU - Schoukens, Joannes

PY - 2014/9/21

Y1 - 2014/9/21

N2 - Block-oriented models are often used to model nonlinear systems. These models consist of linear dynamic (L) and nonlinear static (N) sub-blocks. We propose a simple initialization method for a Wiener-Hammerstein model (LNL cascade). The product of the transfer functions of the two linear blocks can be easily obtained via the best linear approximation (BLA) of the system for a Gaussian excitation. Splitting the global dynamics over the individual blocks turns out to be more difficult. We propose a well-designed multisine excitation and a modified BLA on a shifted frequency grid. The input dynamics are shown to shift with a frequency offset that can be chosen by the user, while the output dynamics do not move. This allows us to separate the two linear blocks via a simple initialization method, based on a linear system identification step. Experimental results obtained from the Wiener-Hammerstein benchmark system illustrate the good performance of the method.

AB - Block-oriented models are often used to model nonlinear systems. These models consist of linear dynamic (L) and nonlinear static (N) sub-blocks. We propose a simple initialization method for a Wiener-Hammerstein model (LNL cascade). The product of the transfer functions of the two linear blocks can be easily obtained via the best linear approximation (BLA) of the system for a Gaussian excitation. Splitting the global dynamics over the individual blocks turns out to be more difficult. We propose a well-designed multisine excitation and a modified BLA on a shifted frequency grid. The input dynamics are shown to shift with a frequency offset that can be chosen by the user, while the output dynamics do not move. This allows us to separate the two linear blocks via a simple initialization method, based on a linear system identification step. Experimental results obtained from the Wiener-Hammerstein benchmark system illustrate the good performance of the method.

KW - Wiener-Hammerstein models

KW - best linear approximation (BLA)

M3 - Meeting abstract (Book)

BT - Presentation of poster at ERNSI 2014, European Research Network on System Identification, Oostende, Belgium, September 21-24, 2014

T2 - ERNSI 2014

Y2 - 21 September 2014 through 24 September 2014

ER -

Initial estimates for Wiener-Hammerstein models via phase-coupled multisines

Samenvatting

Workshop

Vingerafdruk

Citeer dit