Intelligent Fractional Order Systems and Control: An Introduction

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Fractional order calculus is finding increasing interest in the control system community. Hardware realizations of fractional order controllers have sparked off a renewed zeal into the investigations of control system design in the light of fractional calculus. As such many notions of integer order LTI systems are being modified and extended to incorporate these new concepts.

Computational Intelligence (CI) techniques have been applied to engineering problems to find solutions to many hitherto intractable conundrums and is a useful tool for dealing with problems of higher computational complexity. This book borders on the interface between CI techniques and fractional calculus, and looks at ways in which fractional order control systems may be designed or enhanced using CI based paradigms. To the best of the author’s knowledge this is the first book of its kind exclusively dedicated to the application of computational intelligence techniques in fractional order systems and control. The book tries to assimilate various existing concepts in this nascent field of fractional order intelligent control and is aimed at researchers and post graduate students working in this field.

Author(s): Indranil Pan, Saptarshi Das (auth.)
Series: Studies in Computational Intelligence 438
Edition: 1
Publisher: Springer-Verlag Berlin Heidelberg
Year: 2013

Language: English
Pages: 298
Tags: Computational Intelligence; Control

Front Matter....Pages 1-15
Motivation for Application of Computational Intelligence Techniques to Fractional Calculus Based Control Systems....Pages 1-8
Applied Fractional Calculus for Computational Intelligence Researchers....Pages 9-61
Brief Introduction to Computational Intelligence Paradigms for Fractional Calculus Researchers....Pages 63-85
Fractional Order Controller Tuning Using Swarm and Evolutionary Algorithms....Pages 87-131
Multi-objective Fractional Order Controller Design with Evolutionary Algorithms....Pages 133-146
Gain and Order Scheduling for Fractional Order Controllers....Pages 147-157
Enhancement of Fuzzy PID Controller with Fractional Calculus....Pages 159-193
Model Reduction and Analytical Rule Extraction with Evolutionary Algorithms....Pages 195-240
Model Reduction of Higher Order Systems in Fractional Order Template....Pages 241-256
Global Optimization Based Frequency Domain Design of Fractional Order Controllers with Iso-damping Characteristics....Pages 257-273
Chaos Synchronization with a Fractional Order Controller and Swarm Intelligence....Pages 275-295