Lecture Notes in Electrical Engineering

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

Authors: Bijnan, Bandyopadhyay, Kamal, Shyam

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  • 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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  • ISBN 978-3-319-08621-7
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Hardcover $169.99
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  • ISBN 978-3-319-08620-0
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  • Usually ready to be dispatched within 3 to 5 business days, if in stock
Softcover $129.99
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  • 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 (24 hours a day, 7 days a week). Pre-ordered printed titles are excluded from promotions.
  • Due: November 4, 2016
  • ISBN 978-3-319-38133-6
  • Free shipping for individuals worldwide
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  • Covid-19 shipping restrictions
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)

Table of contents (9 chapters)
  • Essence of Fractional Order Calculus, Physical Interpretation and Applications

    Pages 1-54

    Bandyopadhyay, Bijnan (et al.)

  • Solution, Stability and Realization of Fractional Order Differential Equation

    Pages 55-90

    Bandyopadhyay, Bijnan (et al.)

  • Sliding Mode Control of Fractional Order Systems

    Pages 91-114

    Bandyopadhyay, Bijnan (et al.)

  • Finite Time Stabilization of Fractional Order Systems

    Pages 115-127

    Bandyopadhyay, Bijnan (et al.)

  • A Soft Variable Structure Control of Fractional Order Systems

    Pages 129-144

    Bandyopadhyay, Bijnan (et al.)

Buy this book

eBook $99.00
price for USA in USD
  • ISBN 978-3-319-08621-7
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $169.99
price for USA in USD
  • ISBN 978-3-319-08620-0
  • Free shipping for individuals worldwide
  • Institutional customers should get in touch with their account manager
  • Covid-19 shipping restrictions
  • Usually ready to be dispatched within 3 to 5 business days, if in stock
Softcover $129.99
price for USA in USD
  • 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 (24 hours a day, 7 days a week). Pre-ordered printed titles are excluded from promotions.
  • Due: November 4, 2016
  • ISBN 978-3-319-38133-6
  • Free shipping for individuals worldwide
  • Institutional customers should get in touch with their account manager
  • Covid-19 shipping restrictions
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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
6 b/w illustrations, 40 illustrations in colour
Topics