System identification using fractional models: State of the artReport as inadecuate

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1 IMS - Laboratoire de l-intégration, du matériau au système

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.

keyword : Fractional differentiation fractional integration identification simulation output error models equation error models state variable filter

Author: Rachid Malti - Stéphane Victor - Olivier Nicolas - Alain Oustaloup -



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