Approximating fractional derivatives through the generalized mean

• Author(s): Machado, J. A. Tenreiro ; Galhano, Alexandra ; Oliveira, Anabela ; Tar, József K.
• Date: 2009
• Persistent ID: http://hdl.handle.net/10400.22/4309
• Origin: Repositório Científico do Instituto Politécnico do Porto
• Subject(s): Fractional derivatives; Fractional calculus; Average; Generalized mean
• Document Type: Article
• Language: English

Description

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.