Delay Approximation of Fractional Integrals

descriptionPublicationkeyboard_double_arrow_right Article 01 Aug 2012 Portugal English Publisher:WileyJournal:Asian Journal of Control, volume 15, pages 713-722 (issn: 1561-8625, eissn: 1934-6093,

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Authors: Machado, J. A. Tenreiro;

doi: 10.1002/asjc.583

handle: 10400.22/5506

Delay Approximation of Fractional Integrals

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Abstract

AbstractThis paper explores the calculation of fractional integrals by means of the time delay operator. The study starts by reviewing the memory properties of fractional operators and their relationship with time delay. Based on the time response of the Mittag‐Leffler function an approximation of fractional integrals consisting of time delayed samples is proposed. The tuning of the approximation is optimized by means of a genetic algorithm. The results demonstrate the feasibility of the new perspective and the limits of their application.

Country

Portugal

Related Organizations

Polytechnic Institute of Porto
Portugal

Keywords

Delay, Design techniques (robust design, computer-aided design, etc.), fractional derivatives, delay, Fractional calculus, Fractional derivatives, Fractional ordinary differential equations, fractional calculus

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