Fractional Calculus with Its Applications in Engineering and Technology.

Format:

Book

Author/Creator:

Yang, Yi.

Contributor:

Zhang, Haiyan Henry.

Series:

Synthesis digital library of engineering and computer science.

Synthesis lectures on mechanical engineering ; #17.

Synthesis lectures on mechanical engineering, 2573-3168 ; #17

Language:

English

Subjects (All):

Fractional calculus.

Physical Description:

1 online resource (109 pages).

Edition:

1st ed.

Place of Publication:

Cham : Springer, 2019.

System Details:

Mode of access: World Wide Web.

Summary:

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).

Contents:

1. Preliminary tools of fractional calculus

1.1. Special functions

1.2. Definitions of fractional derivatives and integrals

1.3. Fractional differential equations

2. Fractional-order controller design

2.1. Frequency domain design techniques

2.2. State space design techniques

2.3. Optimizations of fractional-order controllers

3. Control applications in engineering and technology

3.1. Fractional-order adaptive control of machining chatter

3.2. Fractional-order PID design for nonlinear motion control of a multilink robot

3.3. Fractional-order control for the rotary inverted pendulum system

3.4. Discrete-time FOPID controller for idle speed control of an ICE.

Notes:

Part of: Synthesis digital library of engineering and computer science.

Includes bibliographical references (pages 91-94).

Description based on publisher supplied metadata and other sources.

ISBN:

9783031796258

303179625X

OCLC:

1091193871