Advances in Modelling and Control of Non-integer-Order Systems

6th Conference on Non-integer Order Calculus and Its Applications, 2014 Opole, Poland

  • Krzysztof J. Latawiec
  • Marian Łukaniszyn
  • Rafał Stanisławski
Conference proceedings

Part of the Lecture Notes in Electrical Engineering book series (LNEE, volume 320)

Table of contents

  1. Front Matter
    Pages 1-14
  2. Invited Paper

    1. Front Matter
      Pages 1-1
  3. Mathematical Fundamentals

  4. Approximation, Modeling and Simulations

    1. Front Matter
      Pages 69-69
    2. Paweł Piątek, Jerzy Baranowski, Marta Zagórowska, Waldemar Bauer, Tomasz Dziwiński
      Pages 81-90
    3. Marek Rydel, Rafał Stanisławski, Włodzimierz Stanisławski, Krzysztof J. Latawiec
      Pages 91-100
    4. Rafał Stanisławski, Krzysztof J. Latawiec, Marcin Gałek, Marian Łukaniszyn
      Pages 101-112
    5. Marta Zagórowska, Jerzy Baranowski, Piotr Bania, Paweł Piątek, Waldemar Bauer, Tomasz Dziwiński
      Pages 113-122
  5. Controllability and Control

  6. Stability Analysis

    1. Front Matter
      Pages 197-197
    2. Małgorzata Wyrwas, Dorota Mozyrska
      Pages 209-220
    3. Marta Zagórowska, Jerzy Baranowski, Waldemar Bauer, Tomasz Dziwiński, Paweł Piątek, Wojciech Mitkowski
      Pages 221-228
  7. Applications

    1. Front Matter
      Pages 229-229
    2. Jerzy Baranowski, Paweł Piątek, Aleksandra Kawala-Janik, Marta Zagórowska, Waldemar Bauer, Tomasz Dziwiński
      Pages 231-237
    3. Tomasz Dziwiński, Waldemar Bauer, Jerzy Baranowski, Paweł Piątek, Marta Zagórowska
      Pages 249-256
    4. Krzysztof Oprzedkiewicz, Marek Chochol, Waldemar Bauer, Tomasz Meresinski
      Pages 265-273
    5. Dominik Sierociuk, Pawel Ziubinski
      Pages 285-294
  8. Back Matter
    Pages 295-295

About these proceedings


This volume presents selected aspects of non-integer, or fractional order systems, whose analysis, synthesis and applications have increasingly become a real challenge for various research communities, ranging from science to engineering. The spectrum of applications of the fractional order calculus has incredibly expanded, in fact it would be hard to find a science/engineering-related subject area where the fractional calculus had not been incorporated. The content of the fractional calculus is ranged from pure mathematics to engineering implementations and so is the content of this volume. The volume is subdivided into six parts, reflecting particular aspects of the fractional order calculus. The first part contains a single invited paper on a new formulation of fractional-order descriptor observers for fractional-order descriptor continous LTI systems. The second part provides new elements to the mathematical theory of fractional-order systems. In the third part of this volume, a bunch of new results in approximation, modeling and simulations of fractional-order systems is given. The fourth part presents new solutions to some problems in controllability and control of non-integer order systems, in particular fractional PID-like control. The fifth part analyzes the stability of non-integer order systems and some new results are offered in this important respect, in particular for discrete-time systems. The final, sixth part of this volume presents a spectrum of applications of the noninteger order calculus, ranging from bi-fractional filtering, in particular of electromyographic signals, through the thermal diffusion and advection diffusion processes to the SIEMENS platform implementation. This volume's papers were all subjected to stimulating comments and discussions from the active audience of the RRNR'2014, the 6th Conference on Non-integer Order Calculus and Its Applications that was organized by the Department of Electrical, Control and Computer Engineering, Opole University of Technology, Opole, Poland.


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

Editors and affiliations

  • Krzysztof J. Latawiec
    • 1
  • Marian Łukaniszyn
    • 2
  • Rafał Stanisławski
    • 3
  1. 1.Department of Electrical, Control and Computer EngineeringOpole University of TechnologyOpolePoland
  2. 2.Department of Electrical, Control and Computer EngineeringOpole University of TechnologyOpolePoland
  3. 3.Department of Electrical, Control and Computer EngineeringOpole University of TechnologyOpolePoland

Bibliographic information

  • DOI
  • Copyright Information Springer International Publishing Switzerland 2015
  • Publisher Name Springer, Cham
  • eBook Packages Engineering Engineering (R0)
  • Print ISBN 978-3-319-09899-9
  • Online ISBN 978-3-319-09900-2
  • Series Print ISSN 1876-1100
  • Series Online ISSN 1876-1119
  • Buy this book on publisher's site