Generalized Algorithm for Estimating Non-Commensurate Fractional-Order Models

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 a...

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Bibliographic Details
Published in:Asian journal of control 2013-05, Vol.15 (3), p.736-740
Main Authors: Taskinen, A., Roinila, T., Vilkko, M.
Format: Article
Language:English
Subjects:
Algorithms
Approximation
Dynamical systems
Fractional dynamics
frequency response
Integer programming
non-commensurate order
Polymers
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Summary: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.
ISSN:1561-8625
1934-6093
DOI:10.1002/asjc.624