Fractional-order Modeling and Control of Dynamic Systems

  • AlekseiĀ Tepljakov

Part of the Springer Theses book series (Springer Theses)

Table of contents

  1. Front Matter
    Pages i-xix
  2. Aleksei Tepljakov
    Pages 1-10
  3. Aleksei Tepljakov
    Pages 11-26
  4. Aleksei Tepljakov
    Pages 27-46
  5. Aleksei Tepljakov
    Pages 47-76
  6. Aleksei Tepljakov
    Pages 131-167
  7. Aleksei Tepljakov
    Pages 169-173

About this book

Introduction

This book reports on an outstanding research devoted to modeling and control of dynamic systems using fractional-order calculus. It describes the development of model-based control design methods for systems described by fractional dynamic models. More than 300 years had passed since Newton and Leibniz developed a set of mathematical tools we now know as calculus. Ever since then the idea of non-integer derivatives and integrals, universally referred to as fractional calculus, has been of interest to many researchers. However, due to various issues, the usage of fractional-order models in real-life applications was limited. Advances in modern computer science made it possible to apply efficient numerical methods to the computation of fractional derivatives and integrals. This book describes novel methods developed by the author for fractional modeling and control, together with their successful application in real-world process control scenarios.

 

Keywords

Fractional-order Calculus Fopid Controller Fopid Tuning Fotf Identification Fractional Control Fractional-order Operators Applications of Fractional-order Models FOMCON Toolbox for MATLAB Newton-Raphson Optimization Least-squares Parameter Estimation Industrial Control Systems

Authors and affiliations

  • AlekseiĀ Tepljakov
    • 1
  1. 1.Faculty of Information TechnologyTallinn University of Technology Faculty of Information TechnologyTallinnEstonia

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-319-52950-9
  • Copyright Information Springer International Publishing AG 2017
  • Publisher Name Springer, Cham
  • eBook Packages Engineering
  • Print ISBN 978-3-319-52949-3
  • Online ISBN 978-3-319-52950-9
  • Series Print ISSN 2190-5053
  • Series Online ISSN 2190-5061
  • About this book