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Efficient use of short data records for FRF modeling by using fractional poles

Kurt Barbe, Wendy Van Moer, Lieve Lauwers and Clara-Mihaela Ionescu UGent (2012) IEEE Instrumentation and Measurement Technology Conference. p.1337-1342
abstract
Modeling systems based on measurements is a well established field of research and engineering practice. The techniques available to build and identify these models operate under the assumption that ldquosufficiently manyrdquo measurements are available. In most cases, the model quality improves when the number of measurements increases. Unfortunately, measurement time is expensive and in some applications it is even infeasible to increase the number of measurements. For these kinds of applications, classical modeling tools become untrustworthy and no alternatives are available. In this paper, we introduce fractional order differential equations instead of ordinary differential equations to model linear systems. The major advantage of the presented technique is that only a small number of parameters is needed to obtain a very flexible model. We propose an identification technique which replaces the ordinary differential equations by fractional order differential equations with a smaller number of parameters.
Please use this url to cite or link to this publication:
author
organization
year
type
conference
publication status
published
subject
keyword
APPROXIMATION, SYSTEMS, DIFFUSION, System modeling, ordinary differential equations, fractional order differential equations, model reduction, finite measurement records, Bode plot
in
IEEE Instrumentation and Measurement Technology Conference
issue title
2012 IEEE international instrumentation and measurement technology conference (I2MTC)
pages
1337 - 1342
publisher
IEEE
place of publication
Piscataway, NJ, USA
conference name
IEEE International Instrumentation and Measurement Technology Conference (I2MTC)
conference location
Graz, Austria
conference start
2012-05-13
conference end
2012-05-16
Web of Science type
Proceedings Paper
Web of Science id
000309449100252
ISSN
1091-5281
ISBN
9781457717734
DOI
10.1109/I2MTC.2012.6229288
language
English
UGent publication?
yes
classification
P1
copyright statement
I have transferred the copyright for this publication to the publisher
id
2998470
handle
http://hdl.handle.net/1854/LU-2998470
date created
2012-09-24 14:24:16
date last changed
2013-02-04 16:50:21
@inproceedings{2998470,
  abstract     = {Modeling systems based on measurements is a well established field of research and engineering practice. The techniques available to build and identify these models operate under the assumption that ldquosufficiently manyrdquo measurements are available. In most cases, the model quality improves when the number of measurements increases. Unfortunately, measurement time is expensive and in some applications it is even infeasible to increase the number of measurements. For these kinds of applications, classical modeling tools become untrustworthy and no alternatives are available. In this paper, we introduce fractional order differential equations instead of ordinary differential equations to model linear systems. The major advantage of the presented technique is that only a small number of parameters is needed to obtain a very flexible model. We propose an identification technique which replaces the ordinary differential equations by fractional order differential equations with a smaller number of parameters.},
  author       = {Barbe, Kurt and Van Moer, Wendy and Lauwers, Lieve and Ionescu, Clara-Mihaela},
  booktitle    = {IEEE Instrumentation and Measurement Technology Conference},
  isbn         = {9781457717734},
  issn         = {1091-5281},
  keyword      = {APPROXIMATION,SYSTEMS,DIFFUSION,System modeling,ordinary differential equations,fractional order differential equations,model reduction,finite measurement records,Bode plot},
  language     = {eng},
  location     = {Graz, Austria},
  pages        = {1337--1342},
  publisher    = {IEEE},
  title        = {Efficient use of short data records for FRF modeling by using fractional poles},
  url          = {http://dx.doi.org/10.1109/I2MTC.2012.6229288},
  year         = {2012},
}

Chicago
Barbe, Kurt, Wendy Van Moer, Lieve Lauwers, and Clara-Mihaela Ionescu. 2012. “Efficient Use of Short Data Records for FRF Modeling by Using Fractional Poles.” In IEEE Instrumentation and Measurement Technology Conference, 1337–1342. Piscataway, NJ, USA: IEEE.
APA
Barbe, K., Van Moer, W., Lauwers, L., & Ionescu, C.-M. (2012). Efficient use of short data records for FRF modeling by using fractional poles. IEEE Instrumentation and Measurement Technology Conference (pp. 1337–1342). Presented at the IEEE International Instrumentation and Measurement Technology Conference (I2MTC), Piscataway, NJ, USA: IEEE.
Vancouver
1.
Barbe K, Van Moer W, Lauwers L, Ionescu C-M. Efficient use of short data records for FRF modeling by using fractional poles. IEEE Instrumentation and Measurement Technology Conference. Piscataway, NJ, USA: IEEE; 2012. p. 1337–42.
MLA
Barbe, Kurt, Wendy Van Moer, Lieve Lauwers, et al. “Efficient Use of Short Data Records for FRF Modeling by Using Fractional Poles.” IEEE Instrumentation and Measurement Technology Conference. Piscataway, NJ, USA: IEEE, 2012. 1337–1342. Print.