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Lecture Notes in Electrical Engineering

Stabilization and Control of Fractional Order Systems: A Sliding Mode Approach

Authors: Bijnan, Bandyopadhyay, Kamal, Shyam

  • Presents original and up-to-date work on stabilization and control design for continuous and discrete fractional order systems
  • Includes a tutorial covering all basic concept of fractional order system and a brief overview of sliding mode control of fractional order system
  • Shows how to solve fractional order differential equations with discontinuities
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eBook $99.00
price for USA (gross)
  • ISBN 978-3-319-08621-7
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
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  • Immediate eBook download after purchase
Hardcover $129.00
price for USA
  • ISBN 978-3-319-08620-0
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $129.00
price for USA
  • Customers within the U.S. and Canada please contact Customer Service at 1-800-777-4643, Latin America please contact us at +1-212-460-1500 (Weekdays 8:30am – 5:30pm ET) to place your order.
  • Due: November 3, 2016
  • ISBN 978-3-319-38133-6
  • Free shipping for individuals worldwide
Rent the ebook  
  • Rental duration: 1 or 6 month
  • low-cost access
  • online reader with highlighting and note-making option
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About this book

In the last two decades fractional differential equations have been used more frequently in physics, signal processing, fluid mechanics, viscoelasticity, mathematical biology, electro chemistry and many others. It opens a new and more realistic way to capture memory dependent phenomena and irregularities inside the systems by using more sophisticated mathematical analysis.

This monograph is based on the authors’ work on stabilization and control design for continuous and discrete fractional order systems. The initial two chapters and some parts of the third chapter are written in tutorial fashion, presenting all the basic concepts of fractional order system and a brief overview of sliding mode control of fractional order systems. The other parts contain deal with robust finite time stability of fractional order systems, integral sliding mode control of fractional order systems, co-operative control of multi-agent systems modeled as fractional differential equation, robust stabilization of discrete fractional order systems, high performance control using soft variable structure control and contraction analysis by integer and fractional order infinitesimal variations.

Table of contents (9 chapters)

  • Essence of Fractional Order Calculus, Physical Interpretation and Applications

    Bandyopadhyay, Bijnan (et al.)

    Pages 1-54

  • Solution, Stability and Realization of Fractional Order Differential Equation

    Bandyopadhyay, Bijnan (et al.)

    Pages 55-90

  • Sliding Mode Control of Fractional Order Systems

    Bandyopadhyay, Bijnan (et al.)

    Pages 91-114

  • Finite Time Stabilization of Fractional Order Systems

    Bandyopadhyay, Bijnan (et al.)

    Pages 115-127

  • A Soft Variable Structure Control of Fractional Order Systems

    Bandyopadhyay, Bijnan (et al.)

    Pages 129-144

Buy this book

eBook $99.00
price for USA (gross)
  • ISBN 978-3-319-08621-7
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $129.00
price for USA
  • ISBN 978-3-319-08620-0
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $129.00
price for USA
  • Customers within the U.S. and Canada please contact Customer Service at 1-800-777-4643, Latin America please contact us at +1-212-460-1500 (Weekdays 8:30am – 5:30pm ET) to place your order.
  • Due: November 3, 2016
  • ISBN 978-3-319-38133-6
  • Free shipping for individuals worldwide
Rent the ebook  
  • Rental duration: 1 or 6 month
  • low-cost access
  • online reader with highlighting and note-making option
  • can be used across all devices
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Bibliographic Information

Bibliographic Information
Book Title
Stabilization and Control of Fractional Order Systems: A Sliding Mode Approach
Authors
Series Title
Lecture Notes in Electrical Engineering
Series Volume
317
Copyright
2015
Publisher
Springer International Publishing
Copyright Holder
Springer International Publishing Switzerland
eBook ISBN
978-3-319-08621-7
DOI
10.1007/978-3-319-08621-7
Hardcover ISBN
978-3-319-08620-0
Softcover ISBN
978-3-319-38133-6
Series ISSN
1876-1100
Edition Number
1
Number of Pages
XXXI, 200
Number of Illustrations and Tables
6 b/w illustrations, 40 illustrations in colour
Topics