Recursive prediction error identification of fractional order models

This paper deals with time domain identification of fractional order systems. A new identification technique is developed providing recursive parameters estimation of fractional order models. The identification model is defined by a generalized ARX structure obtained by discretization of a continuou...

Full description

Saved in:
Bibliographic Details
Published in:Communications in nonlinear science & numerical simulation 2012-06, Vol.17 (6), p.2517-2524
Main Authors: Djouambi, Abdelbaki, Voda, Alina, Charef, Abdelfatah
Format: Article
Language:English
Subjects:
Algorithms
Automatic Control Engineering
Computer Science
Computer simulation
Differential equations
Discretization
Fractional order systems
Least squares method
Mathematical models
Nonlinearity
Prediction error
Recursive
Recursive identification
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:This paper deals with time domain identification of fractional order systems. A new identification technique is developed providing recursive parameters estimation of fractional order models. The identification model is defined by a generalized ARX structure obtained by discretization of a continuous fractional order differential equation. The parameters are then estimated using the recursive least squares and the recursive instrumental variable algorithms extended to fractional order cases. Finally, the quality of the proposed technique is illustrated and compared through the identification of simulated fractional order systems.
ISSN:1007-5704
1878-7274
DOI:10.1016/j.cnsns.2011.08.015