Fractional-order Modeling and Control of Dynamic Systems

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.
 

List of contents

Introduction,- Preliminaries.- Identification of Fractional-order Models.- Fractional-order PID ControllerDesign.- Implementation of Fractional-order Models and Controllers.- FOMCON: Fractional-orderModeling and Control Toolbox.- Applications of Fractional-order Control.

Summary

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.
 

Product details

• Authors: Aleksei Tepljakov
• Publisher: Springer, Berlin
• Languages: English
• Product format: Hardback
• Released: 31.03.2017
• EAN: 9783319529493
• ISBN: 978-3-31-952949-3
• No. of pages: 173
• Dimensions: 165 mm x 15 mm x 245 mm
• Weight: 409 g
• Illustrations: XIX, 173 p. 79 illus., 52 illus. in color.
• Series: Springer Theses; Springer Theses
• Subjects: Natural sciences, medicine, IT, technology > Technology > General, dictionaries; B, Optische Physik, Sicherheitssysteme und Brandmeldeanlagen, engineering, complexity, quality control, Control and Systems Theory, Industrial and Production Engineering, reliability, Nonlinear science, Control engineering, Industrial safety, Quality Control, Reliability, Safety and Risk, Reliability engineering, Automatic control engineering, Dynamics & statics, Applications of Nonlinear Dynamics and Chaos Theory, Statistical physics, Nonlinear Optics, Applied Dynamical Systems, Computational complexity