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System Identification Using Fractional Models: State of the Art

[+] Author Affiliations
Rachid Malti, Stéphane Victor, Olivier Nicolas, Alain Oustaloup

Université Bordeaux 1, Talence Cedex, France

Paper No. DETC2007-35332, pp. 295-304; 10 pages
doi:10.1115/DETC2007-35332
From:
  • ASME 2007 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference
  • Volume 5: 6th International Conference on Multibody Systems, Nonlinear Dynamics, and Control, Parts A, B, and C
  • Las Vegas, Nevada, USA, September 4–7, 2007
  • Conference Sponsors: Design Engineering Division and Computers and Information in Engineering Division
  • ISBN: 0-7918-4806-X | eISBN: 0-7918-3806-4
  • Copyright © 2007 by ASME

abstract

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.

Copyright © 2007 by ASME

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