Overview
- 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
- Includes supplementary material: sn.pub/extras
Part of the book series: Lecture Notes in Electrical Engineering (LNEE, volume 317)
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Table of contents (9 chapters)
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Front Matter
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Back Matter
Keywords
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.
Authors and Affiliations
Bibliographic Information
Book Title: Stabilization and Control of Fractional Order Systems: A Sliding Mode Approach
Authors: Bijnan Bandyopadhyay, Shyam Kamal
Series Title: Lecture Notes in Electrical Engineering
DOI: https://doi.org/10.1007/978-3-319-08621-7
Publisher: Springer Cham
eBook Packages: Engineering, Engineering (R0)
Copyright Information: Springer International Publishing Switzerland 2015
Hardcover ISBN: 978-3-319-08620-0Published: 04 August 2014
Softcover ISBN: 978-3-319-38133-6Published: 17 September 2016
eBook ISBN: 978-3-319-08621-7Published: 22 July 2014
Series ISSN: 1876-1100
Series E-ISSN: 1876-1119
Edition Number: 1
Number of Pages: XXXI, 200
Number of Illustrations: 6 b/w illustrations, 40 illustrations in colour
Topics: Control and Systems Theory, Computational Intelligence, Systems Theory, Control