Optimal approximation of fractional derivatives through discrete-time fractions using genetic algorithms

Machado, J. A. Tenreiro; Galhano, Alexandra; Oliveira, Anabela; Tar, József K.

http://hdl.handle.net/10400.22/4276

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Authors

Machado, J. A. Tenreiro

Galhano, Alexandra

Oliveira, Anabela

Tar, József K.

Abstract(s)

This study addresses the optimization of rational fraction approximations for the discrete-time calculation of fractional derivatives. The article starts by analyzing the standard techniques based on Taylor series and Padé expansions. In a second phase the paper re-evaluates the problem in an optimization perspective by tacking advantage of the flexibility of the genetic algorithms.