Overview
- Nominated as an outstanding PhD thesis by Tallinn University of Technology, Estonia
- Deals with modeling and control of dynamic systems using fractional-order calculus
- Describes several real-life applications of fractional control
- Includes supplementary material: sn.pub/extras
Part of the book series: Springer Theses (Springer Theses)
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Table of contents (8 chapters)
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
- complexity
- quality control, reliability, safety and risk
About this book
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.
Authors and Affiliations
Bibliographic Information
Book Title: Fractional-order Modeling and Control of Dynamic Systems
Authors: Aleksei Tepljakov
Series Title: Springer Theses
DOI: https://doi.org/10.1007/978-3-319-52950-9
Publisher: Springer Cham
eBook Packages: Engineering, Engineering (R0)
Copyright Information: Springer International Publishing AG 2017
Hardcover ISBN: 978-3-319-52949-3Published: 17 February 2017
Softcover ISBN: 978-3-319-85023-8Published: 04 May 2018
eBook ISBN: 978-3-319-52950-9Published: 08 February 2017
Series ISSN: 2190-5053
Series E-ISSN: 2190-5061
Edition Number: 1
Number of Pages: XIX, 173
Number of Illustrations: 27 b/w illustrations, 52 illustrations in colour
Topics: Complexity, Control and Systems Theory, Applications of Nonlinear Dynamics and Chaos Theory, Quality Control, Reliability, Safety and Risk