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

  • 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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  • 12k Downloads

Part of the Lecture Notes in Electrical Engineering book series (LNEE, volume 317)

Table of contents

  1. Front Matter
    Pages i-xxxi
  2. Bijnan Bandyopadhyay, Shyam Kamal
    Pages 91-114
  3. Bijnan Bandyopadhyay, Shyam Kamal
    Pages 115-127
  4. Bijnan Bandyopadhyay, Shyam Kamal
    Pages 129-144
  5. Bijnan Bandyopadhyay, Shyam Kamal
    Pages 145-156
  6. Bijnan Bandyopadhyay, Shyam Kamal
    Pages 157-170
  7. Bijnan Bandyopadhyay, Shyam Kamal
    Pages 171-179
  8. Back Matter
    Pages 199-200

About this book

Introduction

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.

Keywords

Contraction Analysis Discrete Fractional Order Disturbance Observer Finite Time Stability Fractional Order Systems Lyapunov Stability Multiagent Systems Sliding Mode Control Soft Variable Structure Control

Authors and affiliations

  1. 1.Interdisciplinary Programme in Systems and Control EngineeringIndian Institute of Technology BombayMumbaiIndia
  2. 2.Interdisciplinary Programme in Systems and Control EngineeringIndian Institute of Technology BombayMumbaiIndia

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
  • Series Abbreviated Title Lect. Notes Electrical Eng.
  • DOI https://doi.org/10.1007/978-3-319-08621-7
  • Copyright Information Springer International Publishing Switzerland 2015
  • Publisher Name Springer, Cham
  • eBook Packages Engineering Engineering (R0)
  • Hardcover ISBN 978-3-319-08620-0
  • Softcover ISBN 978-3-319-38133-6
  • eBook ISBN 978-3-319-08621-7
  • 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
  • Buy this book on publisher's site
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