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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

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Chapter 1. Introduction

Aleksei Tepljakov

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Chapter 2. Preliminaries

Aleksei Tepljakov

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Chapter 3. Identification of Fractional-Order Models

Aleksei Tepljakov

2017 | OriginalPaper | Chapter

Chapter 4. Fractional-Order PID Controller Design

Aleksei Tepljakov

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Chapter 5. Implementation of Fractional-Order Models and Controllers

Aleksei Tepljakov

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Chapter 6. FOMCON: Fractional-Order Modeling and Control Toolbox

Aleksei Tepljakov

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Chapter 7. Applications of Fractional-Order Control

Aleksei Tepljakov

2017 | OriginalPaper | Chapter

Chapter 8. Conclusions

Aleksei Tepljakov
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