This paper deals with fractional model identification using least-squares (LS) method and instrumental variable (IV) in a noisy output context. A new identification method, which extends LS techniques to fractional system to identify not only the parameters but also the unknown order, is presented. In order to eliminate the bias of identification results, IV method is chosen which permits unbiased parameter estimation. Monte Carlo simulation analyses are used to demonstrate the validity and the performance of the proposed fractional order system identification method.
Identification of Fractional Model by Least-Squares Method and Instrumental Variable
Manuscript received November 27, 2014; final manuscript received February 20, 2015; published online April 8, 2015. Assoc. Editor: J. A. Tenreiro Machado.
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Khadhraoui, A., Jelassi, K., Trigeassou, J., and Melchior, P. (September 1, 2015). "Identification of Fractional Model by Least-Squares Method and Instrumental Variable." ASME. J. Comput. Nonlinear Dynam. September 2015; 10(5): 050801. https://doi.org/10.1115/1.4029904
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