Fractional Calculus with Its Applications in Engineering and Technology

Yang, Yi, Zhang, Haiyan Henry

  • 出版商: Morgan & Claypool
  • 出版日期: 2019-03-28
  • 售價: $1,300
  • 貴賓價: 9.5$1,235
  • 語言: 英文
  • 頁數: 107
  • 裝訂: Quality Paper - also called trade paper
  • ISBN: 1681735164
  • ISBN-13: 9781681735160
  • 相關分類: 微積分 Calculus

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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 Gr nwald-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).