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Generalized Algorithm for Estimating Non‐Commensurate Fractional‐Order Models
Author(s) -
Taskinen A.,
Roinila T.,
Vilkko M.
Publication year - 2013
Publication title -
asian journal of control
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.769
H-Index - 53
eISSN - 1934-6093
pISSN - 1561-8625
DOI - 10.1002/asjc.624
Subject(s) - fractional calculus , order (exchange) , algorithm , integer (computer science) , simplicity , mathematics , computer science , mathematical optimization , physics , finance , quantum mechanics , economics , programming language
The dynamics of real systems are often of fractional‐order but typically approximated using integer‐order models for simplicity. Due to the major improvements in the area of fractional‐order calculus during recent years, the fractional‐order methods may be used more efficiently thus providing more accurate and realistic models. This paper presents an algorithm to estimate non‐commensurate fractional‐order models from frequency response data. Compared to the traditional method where only commensurate models are estimated, the presented technique provides more accurate models. The theory behind the method is shown and the results are illustrated by experimental measurements from a viscous elastic component, made from polydimethylsiloxane ( PDMS ), a silicon‐based organic polymer.