Fractional Calculus: Application in Modeling and Control

J. Tenreiro Machado ()
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J. Tenreiro Machado: Institute of Engineering, Polytechnic of Porto, Department of Electrical Engineering

Chapter Chapter 20 in Integral Methods in Science and Engineering, 2013, pp 279-295 from Springer

Abstract: 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.

Keywords: fractional calculus; fractional operators; control systems; modeling and control; heat diffusion systems; electromagnetism; fractional electrical impedances; evolutionary algorithms; robotics; nonlinear system control (search for similar items in EconPapers)
Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-1-4614-7828-7_20

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DOI: 10.1007/978-1-4614-7828-7_20

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