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Abstract(s)
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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Keywords
Fractional calculus Fractional operators Control systems Modeling and control Heat diffusion systems Electromagnetism Fractional electrical impedances Evolutionary algorithms Robotics Nonlinear system control
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Citation
Publisher
Birkhauser - Springer