H2-norm computation of a class of implicit fractional transfer functions: application to approximation by integer order models

This paper focuses on the H 2 -norm of a class of implicit fractional order transfer functions well suited to describe the input–output behaviour of diffusive systems. First, the analytical expression of the H 2 -norm of this kind of transfer function is established. This result is then used to eval...

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Bibliographic Details
Published in:International journal of dynamics and control 2017-03, Vol.5 (1), p.95-101
Main Authors: Chevrié, Mathieu, Sabatier, Jocelyn, Farges, Christophe, Malti, Rachid
Format: Article
Language:English
Subjects:
Complexity
Control
Control and Systems Theory
Dynamical Systems
Engineering
Vibration
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Summary:This paper focuses on the H 2 -norm of a class of implicit fractional order transfer functions well suited to describe the input–output behaviour of diffusive systems. First, the analytical expression of the H 2 -norm of this kind of transfer function is established. This result is then used to evaluate the quality of the integer order approximation of such an implicit fractional transfer function.
ISSN:2195-268X
2195-2698
DOI:10.1007/s40435-015-0156-3