Publications

@conference{Chetoui20121641,

title = {EIV methods for system identification with fractional models},

author = {M. Chetoui and R. Malti and M. Thomassin and M. Aoun and S. Najar and A. Oustaloup and M. N. Abdelkrim},

url = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-84867084248\&doi=10.3182%2f20120711-3-BE-2027.00270\&partnerID=40\&md5=dada6960d43c8fb326f09161d504d824},

doi = {10.3182/20120711-3-BE-2027.00270},

issn = {14746670},

year  = {2012},

date = {2012-01-01},

journal = {IFAC Proceedings Volumes (IFAC-PapersOnline)},

volume = {16},

number = {PART 1},

pages = {1641-1646},

publisher = {IFAC Secretariat},

abstract = {This paper deals with continuous-time system identification with fractional models in Errors-In-Variables context. Two estimators based on Higher-Order Statistics (third-order cumulants) are proposed. A State Variable Filter approach is extended to fractional orders to compute fractional derivatives of third-order cumulants estimates. The performance of the proposed algorithms is illustrated in a numerical example. Firstly, differentiation orders are fixed and differential equation coefficients are estimated. The consistency of the proposed estimators is evaluated through a study of the tuning parameter and Monte Carlo simulations. Then, the commensurate differentiation order is optimized along with the differential equation coefficients. © 2012 IFAC.},

note = {cited By 14},

keywords = {Continuous time systems; Differential equations; Identification (control systems); Iterative methods; Monte Carlo methods; Religious buildings, Continuous-time; Cumulants; Errors in variables; Fractional SVF; Iterative; Least Square, Higher order statistics},

pubstate = {published},

tppubtype = {conference}

}