Yang, Yi.
Fractional Calculus with its Applications in Engineering and Technology [electronic resource] / by Yi Yang, Haiyan Henry Zhang. - 1st ed. 2019. - XI, 95 p. online resource. - Synthesis Lectures on Mechanical Engineering, 2573-3176 . - Synthesis Lectures on Mechanical Engineering, .
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).
9783031796258
10.1007/978-3-031-79625-8 doi
Engineering.
Electrical engineering.
Engineering design.
Microtechnology.
Microelectromechanical systems.
Technology and Engineering.
Electrical and Electronic Engineering.
Engineering Design.
Microsystems and MEMS.
T1-995
620
Fractional Calculus with its Applications in Engineering and Technology [electronic resource] / by Yi Yang, Haiyan Henry Zhang. - 1st ed. 2019. - XI, 95 p. online resource. - Synthesis Lectures on Mechanical Engineering, 2573-3176 . - Synthesis Lectures on Mechanical Engineering, .
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).
9783031796258
10.1007/978-3-031-79625-8 doi
Engineering.
Electrical engineering.
Engineering design.
Microtechnology.
Microelectromechanical systems.
Technology and Engineering.
Electrical and Electronic Engineering.
Engineering Design.
Microsystems and MEMS.
T1-995
620