Fractional calculus with its applications in engineering and technology /
By: Yang, Yi (Mechanical engineer) [author.].
Contributor(s): Zhang, Haiyan Henry [author.].
Material type:
BookSeries: Synthesis digital library of engineering and computer science: ; Synthesis lectures on mechanical engineering: #17.Publisher: [San Rafael, California] : Morgan & Claypool, [2019]Description: 1 PDF (xi, 95 pages) : color illustrations.Content type: text Media type: electronic Carrier type: online resourceISBN: 9781681735177.Subject(s): Fractional calculus | Engineering mathematics | fractional calculus | fractional-order controller design | Grünwald-Letnikov | Riemann-Liouville | Caputo | Miller-Ross fractional derivatives | machining chatter | multilink robot | rotary inverted pendulum | idle speed controlDDC classification: 510/.8 Online resources: Abstract with links to resource | Abstract with links to full text Also available in print.| Item type | Current location | Call number | Status | Date due | Barcode | Item holds |
|---|---|---|---|---|---|---|
E books
|
PK Kelkar Library, IIT Kanpur | Available | EBKE894 |
Mode of access: World Wide Web.
System requirements: Adobe Acrobat Reader.
Part of: Synthesis digital library of engineering and computer science.
Includes bibliographical references (pages 91-94).
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.
Abstract freely available; full-text restricted to subscribers or individual document purchasers.
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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 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).
Also available in print.
Title from PDF title page (viewed on April 2, 2019).
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