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2017 | Book

Introduction Read chapter Read first chapter

Fractional-order Modeling and Control of Dynamic Systems

Author: Aleksei Tepljakov

Publisher: Springer International Publishing

Book Series : Springer Theses

Part of: Springer Professional "Wirtschaft+Technik" , Springer Professional "Technik"

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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.

Table of Contents

Frontmatter
Chapter 1. Introduction
Abstract
Fractional-order calculus offers a novel modeling approach for systems with extraordinary dynamical properties by introducing the notion of a derivative of noninteger (fractional) order.
Aleksei Tepljakov
Chapter 2. Preliminaries
Abstract
In the following chapter the reader is introduced to core concepts and algorithms used in the thesis. The chapter begins with an introduction to fractional calculus tools, including fractional operator definitions and properties.
Aleksei Tepljakov
Chapter 3. Identification of Fractional-Order Models
Abstract
In the following chapter methods for identification of fractional-order models in transfer function form in time and frequency domains are presented and discussed. The chapter is organized as follows.
Aleksei Tepljakov
Chapter 4. Fractional-Order PID Controller Design
Abstract
In this chapter, the problem of FOPID controller design is investigated.
Aleksei Tepljakov
Chapter 5. Implementation of Fractional-Order Models and Controllers
Abstract
In this chapter, methods for hardware implementation of fractional-order models are discussed. Both analog and digital realizations are considered.
Aleksei Tepljakov
Chapter 6. FOMCON: Fractional-Order Modeling and Control Toolbox
Abstract
In the following chapter, FOMCON toolbox for MATLAB/Simulink is described. The chapter has the following structure. First, an overview of the toolbox is provided in Sect. 6.1. Next, the identification, control, and implementation modules comprising the toolbox are described in Sects. 6.2–6.4, respectively. Illustrative examples are provided for the most important tools available in each module. Finally, in Sect. 6.5 conclusions are drawn.
Aleksei Tepljakov
Chapter 7. Applications of Fractional-Order Control
Abstract
In this chapter, several real-life applications of fractional control are presented.
Aleksei Tepljakov
Chapter 8. Conclusions
Abstract
We now formulate concluding remarks pertaining to the results presented in this thesis. Accordance thereof to the problems stated at the beginning of the dissertation is established.
Aleksei Tepljakov
Metadata
Title
Fractional-order Modeling and Control of Dynamic Systems
Author
Aleksei Tepljakov
Copyright Year
2017
Electronic ISBN
978-3-319-52950-9
Print ISBN
978-3-319-52949-3
DOI
https://doi.org/10.1007/978-3-319-52950-9