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  • Conference proceedings
  • © 2015

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

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

  • Presents novel advances in both the theory and applications of non-integer order systems
  • The main focus is on electrical engineering and control, biomedical engineering, and systems theory
  • Results of the 6th Conference on Non-integer Order Calculus and its Applications Cracow, Poland, September 2014

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

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Table of contents (27 papers)

  1. Front Matter

    Pages 1-14
  2. Invited Paper

    1. Front Matter

      Pages 1-1
  3. Approximation, Modeling and Simulations

    1. Front Matter

      Pages 69-69
    2. Bi-Fractional Filters, Part 1: Left Half-Plane Case

      • Paweł Piątek, Jerzy Baranowski, Marta Zagórowska, Waldemar Bauer, Tomasz Dziwiński
      Pages 81-90
    3. A Comparative Analysis of Selected Integer-Order and Noninteger-Order Linear Models of Complex Dynamical Systems

      • Marek Rydel, Rafał Stanisławski, Włodzimierz Stanisławski, Krzysztof J. Latawiec
      Pages 91-100
    4. Modeling and Identification of Fractional-Order Discrete-Time Laguerre-Based Feedback-Nonlinear Systems

      • Rafał Stanisławski, Krzysztof J. Latawiec, Marcin Gałek, Marian Łukaniszyn
      Pages 101-112
    5. Impulse Response Approximation Method for “Fractional Order Lag”

      • Marta Zagórowska, Jerzy Baranowski, Piotr Bania, Paweł Piątek, Waldemar Bauer, Tomasz Dziwiński
      Pages 113-122
  4. Controllability and Control

    1. Front Matter

      Pages 123-123
    2. Comparison of Performance Indices for Tuning of PIλDμ Controller for Magnetic Levitation System

      • Waldemar Bauer, Tomasz Dziwiński, Jerzy Baranowski, Paweł Piątek, Marta Zagórowska
      Pages 125-133
    3. Tuning of the Half-Order Robust PID Controller Dedicated to Oriented PV System

      • Wojciech Mitkowski, Krzysztof Oprzedkiewicz
      Pages 145-157
    4. Order Functions Selection in the Variable-, Fractional-Order PID Controller

      • Piotr W. Ostalczyk, Piotr Duch, Dariusz W. Brzeziński, Dominik Sankowski
      Pages 159-170

About this book

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.

Editors and Affiliations

  • Department of Electrical, Control and Computer Engineering, Opole University of Technology, Opole, Poland

    Krzysztof J. Latawiec, Marian Łukaniszyn, Rafał Stanisławski

Bibliographic Information

  • Book Title: Advances in Modelling and Control of Non-integer-Order Systems

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

  • Editors: Krzysztof J. Latawiec, Marian Łukaniszyn, Rafał Stanisławski

  • Series Title: Lecture Notes in Electrical Engineering

  • DOI: https://doi.org/10.1007/978-3-319-09900-2

  • Publisher: Springer Cham

  • eBook Packages: Engineering, Engineering (R0)

  • Copyright Information: Springer International Publishing Switzerland 2015

  • Hardcover ISBN: 978-3-319-09899-9Published: 27 August 2014

  • Softcover ISBN: 978-3-319-36047-8Published: 23 August 2016

  • eBook ISBN: 978-3-319-09900-2Published: 16 August 2014

  • Series ISSN: 1876-1100

  • Series E-ISSN: 1876-1119

  • Edition Number: 1

  • Number of Pages: XIV, 295

  • Number of Illustrations: 83 b/w illustrations

  • Topics: Control and Systems Theory, Complexity, Signal, Image and Speech Processing

Buy it now

Buying options

eBook USD 129.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 169.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 169.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access