Fractional calculus: application in modelling and control

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...

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Bibliographic Details
Main Author: Machado, J. A. Tenreiro (author)
Format: bookPart
Language:eng
Published: 2014
Online Access:http://hdl.handle.net/10400.22/4142
Country:Portugal
Oai:oai:recipp.ipp.pt:10400.22/4142
Description
Summary: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.