Fractional Calculus with its Applications in Engineering and Technology (eBook)

Yi Yang, Haiyan Henry Zhang (Autoren)

eBook Download: PDF

2019
107 Seiten
Morgan & Claypool Publishers (Verlag)
978-1-68173-517-7 (ISBN)

Infos

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).

Inhalt

Table of Contents: Preface / Acknowledgments / Introduction / Preliminary Tools of Fractional Calculus / Fractional-Order Controller Design / Control Applications in Engineering and Technology / Bibliography / Authors' Biographies

Produkt-Details

• Erscheint lt. Verlag: 28.3.2019
• Reihe/Serie: Synthesis Lectures on Mechanical Engineering
• Verlagsort: San Rafael
• Sprache: englisch
• Themenwelt: Mathematik / Informatik ► Mathematik ► Analysis
• Themenwelt: Mathematik / Informatik ► Mathematik ► Angewandte Mathematik
• Themenwelt: Technik ► Maschinenbau
• Schlagworte: fractional calculus, fractional-order controller design, Grünwald-Letnikov, Riemann-Liouville, Caputo, Miller-Ross fractional derivatives, machining chatter, multilink robot, rotary inverted pendulum, idle speed control
• ISBN-10: 1-68173-517-2 / 1681735172
• ISBN-13: 978-1-68173-517-7 / 9781681735177