Delay Approximation of Fractional Integrals. Issue 3 (1st August 2012)

• Record Type: Journal Article
• Authors: Machado, J. A. Tenreiro; Pisano, Alessandro; Caponetto, Riccardo
• Is Part Of: Asian journal of control. Volume 15:Issue 3(2013:May)
• Page Start: 713
• Page End: 722
• Publication Date: 2012-08-01
• Subjects: Automatic control -- Periodicals; Control theory -- Periodicals; 629.805
• DOI: 10.1002/asjc.583
• Languages: English
• ISSNs: 1561-8625

Abstract

<abstract abstract-type="main"> <title>Abstract</title> <p>This 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.</p> </abstract>