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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Detalhes bibliográficos
Autor principal: Machado, J. A. Tenreiro (author)
Formato: bookPart
Idioma:eng
Publicado em: 2014
Texto completo:http://hdl.handle.net/10400.22/4142
País:Portugal
Oai:oai:recipp.ipp.pt:10400.22/4142
Descrição
Resumo: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.