Fractional-order evolutionary design of digital circuits

Reis, Cecília; Tenreiro Machado, J. A.; Cunha, J. Boaventura; Figueiredo, Lino

http://hdl.handle.net/10400.22/13313

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Authors

Reis, Cecília

Tenreiro Machado, J. A.

Cunha, J. Boaventura

Figueiredo, Lino

Abstract(s)

This paper analyses the performance of a Genetic Algorithm (GA) in the synthesis of digital circuits using a new approach. The novel concept extends the classical fitness function by introducing a fractional-order dynamical evaluation. The dynamic fitness function results from an analogy with control systems where it is possible to benefit the proportional algorithm by including a differential component. For this purpose the non integer derivative is approximated through Pad´e fractions. The experiments reveal superior results when comparing with the classical fitness method.