Theoretical Developments and Applications of Non-Integer Order Systems

7th Conference on Non-Integer Order Calculus and Its Applications, Szczecin, Poland

  • Stefan Domek
  • Paweł Dworak

Part of the Lecture Notes in Electrical Engineering book series (LNEE, volume 357)

Table of contents

  1. Front Matter
    Pages i-xiii
  2. Mathematical Fundamentals

    1. Front Matter
      Pages 1-1
    2. Agnieszka B. Malinowska, Tatiana Odzijewicz
      Pages 17-28
    3. Dominik Sierociuk, Wiktor Malesza, Michal Macias
      Pages 29-39
    4. Ewa Girejko, Ewa Pawłuszewicz, Małgorzata Wyrwas
      Pages 57-67
  3. Modeling and Approximations

    1. Front Matter
      Pages 69-69
    2. Wojciech Mitkowski, Krzysztof Oprzędkiewicz
      Pages 71-80
    3. Jerzy Baranowski, Waldemar Bauer, Marta Zagórowska
      Pages 93-103
    4. Konrad Andrzej Markowski, Krzysztof Hryniów
      Pages 105-118
    5. Marek Rydel, Rafał Stanisławski, Grzegorz Bialic, Krzysztof J. Latawiec
      Pages 119-127
  4. Controllability, Observability and Stability

  5. Control and Applications

    1. Front Matter
      Pages 195-195
    2. Łukasz Wach, Wojciech P. Hunek
      Pages 233-237
    3. Bogdan Broel-Plater, Paweł Dworak, Krzysztof Jaroszewski
      Pages 247-258
    4. Jerzy Baranowski, Waldemar Bauer, Marta Zagórowska, Aleksandra Kawala-Janik, Tomasz Dziwiński, Paweł Piątek
      Pages 271-280
  6. Back Matter
    Pages 293-293

About this book


This volume is devoted to presentation of new results of research on systems of non-integer order, called also fractional systems. Their analysis and practical implementation have been the object of spontaneous development for a few last decades. The fractional order models can depict a physical plant better than the classical integer order ones. This covers different research fields such as insulator properties, visco-elastic materials, electrodynamic, electrothermal, electrochemical, economic processes modelling etc. On the other hand fractional controllers often outperform their integer order counterparts. This volume contains new ideas and examples of implementation, theoretical and pure practical aspects of using a non-integer order calculus. It is divided into four parts covering: mathematical fundamentals, modeling and approximations, controllability, observability and stability problems and practical applications of fractional control systems. The first part expands the base of tools and methods of the mathematical basis for non-integer order calculus. Part two focuses on new methods and developments in process modeling and fractional derivatives approximations. In the third part a bunch of papers which raise problems of controllability, observability and stability of non-integer order systems is provided. Part four is devoted to presentation of different fractional order control applications. This book was created thanks to many experts in the field of fractional calculus: authors, anonymous referees whose comments allowed us to improve the final form of the papers and active and inspiring discussion of the participants of RRNR'2015, the 7th Conference on Non-Integer Order Calculus and Its Applications that was organized by the Faculty of Electrical Engineering, West Pomeranian University of Technology, Szczecin, Poland.



Electrical Engineering Fractional Systems Non-Integer Order Calculus Non-Integer Order Systems Non-Integer Systems

Editors and affiliations

  • Stefan Domek
    • 1
  • Paweł Dworak
    • 2
  1. 1.Faculty of Electrical EngineeringWest Pomeranian University of TechnologySzczecinPoland
  2. 2.Faculty of Electrical EngineeringWest Pomeranian University of TechnologySzczecinPoland

Bibliographic information

  • DOI
  • Copyright Information Springer International Publishing Switzerland 2016
  • Publisher Name Springer, Cham
  • eBook Packages Engineering Engineering (R0)
  • Print ISBN 978-3-319-23038-2
  • Online ISBN 978-3-319-23039-9
  • Series Print ISSN 1876-1100
  • Series Online ISSN 1876-1119
  • Buy this book on publisher's site
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