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Fractional Order Systems—Control Theory and Applications

Fundamentals and Applications

  • Book
  • © 2022

Overview

Editors:
  1. Omar Naifar

    1. CEM Laboratory, Department of Electrical Engineering, National School of Engineers of Sfax, University of Sfax, Sfax, Tunisia

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  2. Abdellatif Ben Makhlouf

    1. Department of Mathematics, College of Science, Jouf University, Sakaka, Saudi Arabia

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    You can also search for this editor in PubMed   Google Scholar

  • Covers preliminaries and the bases of fractional order systems related to control theory
  • Includes fractional order systems applications
  • Written by experts in the field

Part of the book series: Studies in Systems, Decision and Control (SSDC, volume 364)

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Table of contents (10 chapters)

  1. Front Matter

    Pages i-x
    Download chapter PDF

  2. On the Stability of Caputo Fractional-Order Systems: A Survey

    • Abdellatif Ben Makhlouf
    Pages 1-8

  3. Observers and Observability—Theory and Literature Overview

    • Assaad Jmal, Omar Naifar, Abdellatif Ben Makhlouf, Nabil Derbel, Mohamed Ali Hammami
    Pages 9-28

  4. A Brief Overview on Fractional Order Systems in Control Theory

    • Assaad Jmal, Omar Naifar, Abdellatif Ben Makhlouf, Nabil Derbel, Mohamed Ali Hammami
    Pages 29-47

  5. State Estimation for Fractional-Order Systems

    • Omar Naifar, Assaad Jmal, Abdellatif Ben Makhlouf, Nabil Derbel, Mohamed Ali Hammami
    Pages 49-74

  6. Observer-Based Control for Fractional-Order Systems

    • Omar Naifar, Assaad Jmal, Abdellatif Ben Makhlouf, Nabil Derbel, Mohamed Ali Hammami
    Pages 75-93

  7. Fault Estimation for Nonlinear One-Sided Lipschitz Systems

    • Omar Naifar, Assaad Jmal, Abdellatif Ben Makhlouf, Nabil Derbel, Mohamed Ali Hammami
    Pages 95-122

  8. Fractional Order CRONE and PID Controllers Design for Nonlinear Systems Based on Multimodel Approach

    • Mohamed Lazhar Wardi, Rihab Abdelkrim, Mohamed Naceur Abdelkrim
    Pages 123-142

  9. Design of Robust Fractional Predictive Control for a Class of Uncertain Fractional Order Systems

    • Aymen Rhouma, Sami Hafsi
    Pages 143-158

  10. Constant Phase Based Design of Robust Fractional PI Controller for Uncertain First Order Plus Dead Time Systems

    • B. Saidi, Z. Yacoub, M. Amairi, M. Aoun
    Pages 159-179

  11. Identification of Continuous-Time Fractional Models from Noisy Input and Output Signals

    • Z. Yakoub, M. Aoun, M. Amairi, M. Chetoui
    Pages 181-216
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Keywords

About this book

This book aims to bring together the latest innovative knowledge, analysis, and synthesis of fractional control problems of nonlinear systems as well as some related applications. Fractional order systems (FOS) are dynamical systems that can be modelled by a fractional differential equation carried with a non-integer derivative. In the last few decades, the growth of science and engineering systems has considerably stimulated the employment of fractional calculus in many subjects of control theory, for example, in stability, stabilization, controllability, observability, observer design, and fault estimation. The application of control theory in FOS is an important issue in many engineering applications. So, to accurately describe these systems, the fractional order differential equations have been introduced.

Editors and Affiliations

  • CEM Laboratory, Department of Electrical Engineering, National School of Engineers of Sfax, University of Sfax, Sfax, Tunisia

    Omar Naifar

  • Department of Mathematics, College of Science, Jouf University, Sakaka, Saudi Arabia

    Abdellatif Ben Makhlouf

Bibliographic Information

  • Book Title: Fractional Order Systems—Control Theory and Applications

  • Book Subtitle: Fundamentals and Applications

  • Editors: Omar Naifar, Abdellatif Ben Makhlouf

  • Series Title: Studies in Systems, Decision and Control

  • DOI: https://doi.org/10.1007/978-3-030-71446-8

  • Publisher: Springer Cham

  • eBook Packages: Intelligent Technologies and Robotics, Intelligent Technologies and Robotics (R0)

  • Copyright Information: The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG 2022

  • Hardcover ISBN: 978-3-030-71445-1Published: 31 August 2021

  • Softcover ISBN: 978-3-030-71448-2Published: 01 September 2022

  • eBook ISBN: 978-3-030-71446-8Published: 30 August 2021

  • Series ISSN: 2198-4182

  • Series E-ISSN: 2198-4190

  • Edition Number: 1

  • Number of Pages: X, 216

  • Number of Illustrations: 20 b/w illustrations, 64 illustrations in colour

  • Topics: Control and Systems Theory, Systems Theory, Control, Circuits and Systems

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