Fractional-order Modeling and Control of Dynamic Systems

✍ Scribed by Aleksei Tepljakov (auth.)

• Publisher: Springer International Publishing
• Year: 2017
• Tongue: English
• Leaves: 184
• Series: Springer Theses
• Edition: 1
• Category: Library

✦ Synopsis

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

Front Matter....Pages i-xix
Introduction....Pages 1-10
Preliminaries....Pages 11-26
Identification of Fractional-Order Models....Pages 27-46
Fractional-Order PID Controller Design....Pages 47-76
Implementation of Fractional-Order Models and Controllers....Pages 77-105
FOMCON: Fractional-Order Modeling and Control Toolbox....Pages 107-129
Applications of Fractional-Order Control....Pages 131-167
Conclusions....Pages 169-173

✦ Subjects

Complexity;Control;Applications of Nonlinear Dynamics and Chaos Theory;Quality Control, Reliability, Safety and Risk