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Fractional Calculus: Application in Modeling and Control

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Integral Methods in Science and 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.

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Author information

Authors and Affiliations

  1. Department of Electrical Engineering, Institute of Engineering, Polytechnic of Porto, 4200-072, Porto, Portugal

    J. Tenreiro Machado

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  1. J. Tenreiro Machado
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Correspondence to J. Tenreiro Machado .

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Editors and Affiliations

  1. Department of Mathematics, The University of Tulsa, Tulsa, USA

    Christian Constanda

  2. Mechanical Engineering, Federal University of Rio Grande do Sul, Porto Alegre, Brazil

    Bardo E.J. Bodmann

  3. LAC, National Institute for Space Research, Sao Jose dos Campos, SĂŁo Paulo, Brazil

    Haroldo F. de Campos Velho

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Machado, J.T. (2013). Fractional Calculus: Application in Modeling and Control. In: Constanda, C., Bodmann, B., Velho, H. (eds) Integral Methods in Science and Engineering. Birkhäuser, New York, NY. https://doi.org/10.1007/978-1-4614-7828-7_20

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