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Fractional Calculus with its Applications in Engineering and Technology

Yi Yang author Haiyan Henry Zhang author

Format:Paperback

Publisher:Springer International Publishing AG

Published:28th Mar '19

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Fractional Calculus with its Applications in Engineering and Technology cover

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).

ISBN: 9783031796241

Dimensions: unknown

Weight: unknown

95 pages