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System identification using fractional models: State of the art

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.
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Submitted on : Thursday, October 25, 2007 - 4:33:36 PM
Last modification on : Tuesday, March 31, 2020 - 2:12:13 PM
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  • HAL Id : hal-00182374, version 1


Rachid Malti, Stéphane Victor, Olivier Nicolas, Alain Oustaloup. System identification using fractional models: State of the art. ASME 2007 International Design Engineering Technical Conferences & Computers and Information in Engineering Conference (IDETC/CIE 2007), Sep 2007, Las Vegas, Nevada, United States. pp.DETC2007-35332. ⟨hal-00182374⟩



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