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Fractional Calculus with its Applications in Engineering and Technology [electronic resource] / by Yi Yang, Haiyan Henry Zhang.

By: Yang, Yi [author.].
Contributor(s): Zhang, Haiyan Henry [author.] | SpringerLink (Online service).
Material type: materialTypeLabelBookSeries: Synthesis Lectures on Mechanical Engineering: Publisher: Cham : Springer International Publishing : Imprint: Springer, 2019Edition: 1st ed. 2019.Description: XI, 95 p. online resource.Content type: text Media type: computer Carrier type: online resourceISBN: 9783031796258.Subject(s): Engineering | Electrical engineering | Engineering design | Microtechnology | Microelectromechanical systems | Technology and Engineering | Electrical and Electronic Engineering | Engineering Design | Microsystems and MEMSAdditional physical formats: Printed edition:: No title; Printed edition:: No title; Printed edition:: No titleDDC classification: 620 Online resources: Click here to access online
Contents:
Preface -- Acknowledgments -- Introduction -- Preliminary Tools of Fractional Calculus -- Fractional-Order Controller Design -- Control Applications in Engineering and Technology -- Bibliography -- Authors' Biographies .
In: Springer Nature eBookSummary: This book aims to provide the basic theory of fractional calculus and its applications based on practical schemes and approaches, illustrated with applicable engineering and technical examples, especially focusing on the fractional-order controller design. In the development of this book, the essential theorems and facts in the first two chapters are proven with rigorous mathematical analyses. In addition, the commonly used definitions of Grünwald-Letnikov, Riemann-Liouville, Caputo, and Miller-Ross fractional derivatives are introduced with their properties proved and linked to fractional-order controller design. The last chapter presents several enlightening scenarios of fractional-order control designs, for example, the suppression of machining chatter, the nonlinear motion control of a multilink robot, the simultaneous tracking and stabilization control of a rotary inverted pendulum, and the idle speed control of an internal combustion engine (ICE).
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Preface -- Acknowledgments -- Introduction -- Preliminary Tools of Fractional Calculus -- Fractional-Order Controller Design -- Control Applications in Engineering and Technology -- Bibliography -- Authors' Biographies .

This book aims to provide the basic theory of fractional calculus and its applications based on practical schemes and approaches, illustrated with applicable engineering and technical examples, especially focusing on the fractional-order controller design. In the development of this book, the essential theorems and facts in the first two chapters are proven with rigorous mathematical analyses. In addition, the commonly used definitions of Grünwald-Letnikov, Riemann-Liouville, Caputo, and Miller-Ross fractional derivatives are introduced with their properties proved and linked to fractional-order controller design. The last chapter presents several enlightening scenarios of fractional-order control designs, for example, the suppression of machining chatter, the nonlinear motion control of a multilink robot, the simultaneous tracking and stabilization control of a rotary inverted pendulum, and the idle speed control of an internal combustion engine (ICE).

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