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Fractional Calculus: Application in Modeling and Control

In: Integral Methods in Science and Engineering

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  • J. Tenreiro Machado

    (Institute of Engineering, Polytechnic of Porto, Department of Electrical Engineering)

Abstract

This contribution introduces the fractional calculus (FC) fundamental mathematical aspects and discuses some of their consequences. Based on the FC concepts, the chapter reviews the main approaches for implementing fractional operators and discusses the adoption of FC in control systems. Finally are presented some applications in the areas of modeling and control, namely fractional PID, heat diffusion systems, electromagnetism, fractional electrical impedances, evolutionary algorithms, robotics, and nonlinear system control.

Suggested Citation

  • J. Tenreiro Machado, 2013. "Fractional Calculus: Application in Modeling and Control," Springer Books, in: Christian Constanda & Bardo E.J. Bodmann & Haroldo F. de Campos Velho (ed.), Integral Methods in Science and Engineering, edition 127, chapter 0, pages 279-295, Springer.
    • Handle: RePEc:spr:sprchp:978-1-4614-7828-7_20
    DOI: 10.1007/978-1-4614-7828-7_20
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