The concepts of frozen and instantaneous transfer functions for quantifying the degree of time-variations in periodically time-varying systems

Ebrahim Louarroudi; John Lataire; Rik Pintelon

The concepts of frozen and instantaneous transfer functions for quantifying the degree of time-variations in periodically time-varying systems

Ebrahim Louarroudi, John Lataire, Rik Pintelon

Electricity

Research output: Chapter in Book/Report/Conference proceeding › Meeting abstract (Book)

Abstract

This poster presents a method for quantifying the degree of time-variations in (linear) periodically time-varying systems. Based on two different concepts of a transfer function for time-varying systems (called the frozen transfer function and the instantaneous transfer function), it is shown that the difference between both transfer functions is a good measure for the degree of time-variations in the system. A clear distinction between both transfer function concepts is made, and either can be estimated with the proposed model. The methodology is supported with simulations, and is eventually applied to real measurements (flexible robot arm).

Original language	English
Title of host publication	ERNSI'2012, European Research Network on System Identification, 23-26 September 2012, Maastricht, The Netherlands
Publication status	Published - 23 Sept 2012
Event	Unknown - Duration: 23 Sept 2012 → …

Conference

Conference	Unknown
Period	23/09/12 → …

Keywords

frozen and instantaneous transfer functions
time-varying systems

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Persistent link

DWTC282: Dynamical systems, control and optimization
Pintelon, R., Vandewalle, J., Aeyels, D., Sepulchre, R., Kinnaert, M., Vande Wouwer, A., Blondel, V., Winkin, J., Boyd, S. & Leonard, N.
1/04/12 → 30/09/17
Project: Fundamental

Cite this

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title = "The concepts of frozen and instantaneous transfer functions for quantifying the degree of time-variations in periodically time-varying systems",

abstract = "This poster presents a method for quantifying the degree of time-variations in (linear) periodically time-varying systems. Based on two different concepts of a transfer function for time-varying systems (called the frozen transfer function and the instantaneous transfer function), it is shown that the difference between both transfer functions is a good measure for the degree of time-variations in the system. A clear distinction between both transfer function concepts is made, and either can be estimated with the proposed model. The methodology is supported with simulations, and is eventually applied to real measurements (flexible robot arm).",

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author = "Ebrahim Louarroudi and John Lataire and Rik Pintelon",

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The concepts of frozen and instantaneous transfer functions for quantifying the degree of time-variations in periodically time-varying systems. / Louarroudi, Ebrahim; Lataire, John; Pintelon, Rik.
ERNSI'2012, European Research Network on System Identification, 23-26 September 2012, Maastricht, The Netherlands. 2012.

Research output: Chapter in Book/Report/Conference proceeding › Meeting abstract (Book)

TY - CHAP

T1 - The concepts of frozen and instantaneous transfer functions for quantifying the degree of time-variations in periodically time-varying systems

AU - Louarroudi, Ebrahim

AU - Lataire, John

AU - Pintelon, Rik

PY - 2012/9/23

Y1 - 2012/9/23

N2 - This poster presents a method for quantifying the degree of time-variations in (linear) periodically time-varying systems. Based on two different concepts of a transfer function for time-varying systems (called the frozen transfer function and the instantaneous transfer function), it is shown that the difference between both transfer functions is a good measure for the degree of time-variations in the system. A clear distinction between both transfer function concepts is made, and either can be estimated with the proposed model. The methodology is supported with simulations, and is eventually applied to real measurements (flexible robot arm).

AB - This poster presents a method for quantifying the degree of time-variations in (linear) periodically time-varying systems. Based on two different concepts of a transfer function for time-varying systems (called the frozen transfer function and the instantaneous transfer function), it is shown that the difference between both transfer functions is a good measure for the degree of time-variations in the system. A clear distinction between both transfer function concepts is made, and either can be estimated with the proposed model. The methodology is supported with simulations, and is eventually applied to real measurements (flexible robot arm).

KW - frozen and instantaneous transfer functions

KW - time-varying systems

M3 - Meeting abstract (Book)

BT - ERNSI'2012, European Research Network on System Identification, 23-26 September 2012, Maastricht, The Netherlands

T2 - Unknown

Y2 - 23 September 2012

ER -

The concepts of frozen and instantaneous transfer functions for quantifying the degree of time-variations in periodically time-varying systems

Abstract

Conference

Keywords

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Projects

DWTC282: Dynamical systems, control and optimization

Cite this