2007, English, Article edition: System identification using fractional models: State of the art Malti, Rachid; Victor, Stéphane; Nicolas, Olivier; ...

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Bookmark: http://trove.nla.gov.au/version/206877
Physical Description
  • text
Published
  • HAL - CCSD
  • 2007
Language
  • English

Edition details

Title
  • System identification using fractional models: State of the art
Author
  • Malti, Rachid
  • Victor, Stéphane
  • Nicolas, Olivier
  • Oustaloup, Alain
Published
  • HAL - CCSD
  • 2007
Physical Description
  • text
Subjects
Notes
  • This paper presents a state of the art of actual achievements in time-domain system identification using fractional models. It starts with some general aspects on time and frequency-domain representations, time-domain simulation, and stability of fractional models. Then, an overview on system identification methods using fractional models is presented. Both equation-error and output-error-based models are detailed. In the former models, prior knowledge is generally used to fix differentiation orders; model coefficients are estimated using least squares. The latter models allow simultaneous estimation of model's coefficients and differentiation orders, using non linear programming. A real thermal example is identified using a fractional model and compared to a rational one.
  • HAL:hal-00182374, version 1
  • HAL:http:/​/​hal.archives-ouvertes.fr/​hal-00182374/​en/​
Language
  • English
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