Editors:
- Presents novel advances in both the theory and applications of non-integer order systems
- The main focus is on control and electrical engineering, biomedical engineering, and systems theory
- Results of the 6th Conference on Non-integer Order Calculus and its Applications, Szczecin, Poland, August 2015
- Includes supplementary material: sn.pub/extras
Part of the book series: Lecture Notes in Electrical Engineering (LNEE, volume 357)
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Table of contents (24 chapters)
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Front Matter
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Mathematical Fundamentals
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Front Matter
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Modeling and Approximations
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Front Matter
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Controllability, Observability and Stability
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Front Matter
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Control and Applications
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Front Matter
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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 fractionalcalculus: 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.
Editors and Affiliations
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Faculty of Electrical Engineering, West Pomeranian University of Technology, Szczecin, Poland
Stefan Domek, Paweł Dworak
Bibliographic Information
Book Title: Theoretical Developments and Applications of Non-Integer Order Systems
Book Subtitle: 7th Conference on Non-Integer Order Calculus and Its Applications, Szczecin, Poland
Editors: Stefan Domek, Paweł Dworak
Series Title: Lecture Notes in Electrical Engineering
DOI: https://doi.org/10.1007/978-3-319-23039-9
Publisher: Springer Cham
eBook Packages: Engineering, Engineering (R0)
Copyright Information: Springer International Publishing Switzerland 2016
Hardcover ISBN: 978-3-319-23038-2Published: 12 August 2015
Softcover ISBN: 978-3-319-36795-8Published: 25 October 2016
eBook ISBN: 978-3-319-23039-9Published: 20 August 2015
Series ISSN: 1876-1100
Series E-ISSN: 1876-1119
Edition Number: 1
Number of Pages: XIII, 293
Number of Illustrations: 89 b/w illustrations, 22 illustrations in colour
Topics: Control and Systems Theory, Complexity, Signal, Image and Speech Processing