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Advances in system identification using fractional models

Abstract : This paper presents an up to date advances in time-domain system identification using fractional models. 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. As an example, a thermal system is identified using a fractional model and compared to a rational one.
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Submitted on : Wednesday, January 28, 2009 - 4:39:46 PM
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Rachid Malti, Stéphane Victor, Alain Oustaloup. Advances in system identification using fractional models. Journal of Computational and Nonlinear Dynamics, American Society of Mechanical Engineers (ASME), 2008, 3 (2), pp.021401-1 021401-7. ⟨10.1115/1.2833910⟩. ⟨hal-00356798⟩



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