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Approximating fractional derivatives through the generalized mean

✍ Scribed by J.A. Tenreiro Machado; Alexandra M. Galhano; Anabela M. Oliveira; József K. Tar

Book ID
104012481
Publisher
Elsevier Science
Year
2009
Tongue
English
Weight
838 KB
Volume
14
Category
Article
ISSN
1007-5704

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✦ Synopsis

This paper addresses the calculation of fractional order expressions through rational fractions. The article starts by analyzing the techniques adopted in the continuous to discrete time conversion. The problem is re-evaluated in an optimization perspective by tacking advantage of the degree of freedom provided by the generalized mean formula. The results demonstrate the superior performance of the new algorithm.

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