Details

Autor(en) / Beteiligte

• Chetoui, Manel
• Thomassin, Magalie
• Malti, Rachid
• Aoun, Mohamed
• Abdelkrim, Mohamed Naceur

Titel

Fourth order cumulants in EIV system identification using fractional models. An electronic application

Ist Teil von

• ICFDA'14 International Conference on Fractional Differentiation and Its Applications 2014, 2014, p.1-7

Ort / Verlag

IEEE

Erscheinungsjahr

2014

Quelle

IEL

Beschreibungen/Notizen

• This paper considers the problem of identifying continuous-time fractional systems from noisy input/output measurements. Firstly, the differentiation orders are fixed and the differential equation coefficients are estimated using an estimator based on Higher-Order Statistics: fractional fourth-order cumulants based least squares (ffocls). Then, the commensurate order is estimated along with the differential equation coefficients using a non linear optimization technique combined to the ffocls algorithm (co-ffocls). Under some assumptions on the distributional properties of additive noises and the noise-free input signals, the developed estimators give consistent results. Hence, the noise-free input signal is assumed to be non gaussian, whereas the additive noises are assumed to be gaussian. The performances of the developed algorithms are assessed through a practical application for modeling a real electronic system.