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Applied Fractional Calculus in Identification and Control

  • Book
  • © 2022

Overview

Editors:
  1. Utkal Mehta

    1. Electrical and Electronics Engineering, University of the South Pacific (USP), Suva, Fiji

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  2. Kishore Bingi

    1. School of Electrical Engineering, Vellore Institute of Technology, Vellore, India

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  3. Sahaj Saxena

    1. Department of Electrical and Instrumentation Engineering, Thapar Institute of Engineering and Technology, Patiala, India

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  • Investigates the fractional calculus-based approaches and their benefits
  • Covers most of the studies on linear and nonlinear systems using fractional-order integro-differential operators
  • Offers novel and practical solutions in multidisciplinary areas such as computer science, control engineering

Part of the book series: Studies in Infrastructure and Control (sic)

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Table of contents (11 chapters)

  1. Front Matter

    Pages i-xii
    Download chapter PDF

  2. Fractional Calculus for Multivariate Vector-Valued Function and Fractal Function

    • C. Kavitha, T. M. C. Priyanka, Cristina Serpa, A. Gowrisankar
    Pages 1-23

  3. Synchronization of Stochastic Fractional Chaotic Systems

    • T. Sathiyaraj, K. Ratnavelu, P. Balasubramaniam
    Pages 25-42

  4. Fractional-Order Comb Filter Design For Power-Line Interference Removal

    • Lipan Ehmes, Eric Vonseu, Sunil Narayan
    Pages 43-54

  5. Practical Realization of Fractional-Order Notch Filter with Asymmetric Slopes and Optimized Quality Factor

    • Sunil Narayan, Varian Akwai, Steven Weago, Kajal Kothari
    Pages 55-67

  6. Fractional Order Modified IMC for Integrating Processes for Given Stability Margins and Increased Closed Loop Bandwidth

    • Pushkar Prakash Arya
    Pages 69-86

  7. Internal Model Control-Based Fractional Order Controller Design for Process Plants Satisfying Desired Gain Margin and Phase Margin

    • Pushkar Prakash Arya, Sohom Chakrabarty
    Pages 87-113

  8. Novel Hybrid Iterative Learning–Fractional Predicative PI Controller for Time-Delay Systems

    • P. Arun Mozhi Devan, Fawnizu Azmadi Hussin, Rosdiazli Ibrahim, M. Nagarajapandian, Maher Assaad
    Pages 115-133

  9. Design of Robust Model Predictive Controller for DC Motor Using Fractional Calculus

    • Abhaya Pal Singh, Srikanth Yerra, Ahmad Athif Mohd Faudzi
    Pages 135-147

  10. Studying Fractional-Order Controller Structures for Load Frequency Control of Interconnected Multiple Source Power System

    • Vadan Padiachy, Muhammed Hafeez, Luvkesh Naidu
    Pages 149-168

  11. Hardware Implementation of the Fractional Controller on Quadrotor Aircraft

    • Sheikh Izzal Azid, Vivek Pawan Shankaran
    Pages 169-194

  12. Optimum Fractional-Order PID for Active Suspension of Quarter Car Model Control

    • Sandeep D. Hanwate, Rohini K. Bhalerao
    Pages 195-205
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Keywords

About this book

The book investigates the fractional calculus-based approaches and their benefits to adopting in complex real-time areas. Another objective is to provide initial solutions for new areas where fractional theory has yet to verify the expertise. The book focuses on the latest scientific interest and illustrates the basic idea of general fractional calculus with MATLAB codes. This book is ideal for researchers working on fractional calculus theory both in simulation and hardware. Researchers from academia and industry working or starting research in applied fractional calculus methods will find the book most useful. The scope of this book covers most of the theoretical and practical studies on linear and nonlinear systems using fractional-order integro-differential operators.

Editors and Affiliations

  • Electrical and Electronics Engineering, University of the South Pacific (USP), Suva, Fiji

    Utkal Mehta

  • School of Electrical Engineering, Vellore Institute of Technology, Vellore, India

    Kishore Bingi

  • Department of Electrical and Instrumentation Engineering, Thapar Institute of Engineering and Technology, Patiala, India

    Sahaj Saxena

About the editors

Dr. Utkal Mehta is a Senior IEEE Member (SM’15) and obtained his Ph.D. from IIT Guwahati, India, in the area of system identification and process control. He is currently working in the Electrical and Electronics Engineering department of the University of the South Pacific, Fiji, as an Associate Professor. His current research focuses on process identification, applied fractional calculus for modeling, fractional-order filter design on re-configurable devices like FPAA, and various robotics applications for medical and industrial automation. He also worked as the R&D Project Engineer at Compatible Power (P) Ltd in 1999-2002. He has published over 60 papers in Journals and refereed conference proceedings. He has supervised and co-supervised over 15 post-graduate research students in engineering and over 5 industrial consultation projects. He is a receipt of VC’s innovation award in 2017 and faculty best teaching award in 2018.


 
Dr. Kishore Bingi is currently working as an Assistant Professor Senior Grade in the Department of Control & Automation, School of Electrical Engineering (SELECT), VIT University, Vellore, India. He obtained his Ph.D. degree in the Department of Electrical and Electronic Engineering, Universiti Teknologi PETRONAS (UTP), Perak, Malaysia, in 2019, the M.Tech. Degree in Instrumentation and Control Systems from National Institute of Technology (NIT) Calicut, Kerala, India, in 2014, and the B.Tech. Degree in Electrical and Electronics Engineering from Bapatla Engineering College, Andhra Pradesh, India, in 2012. He worked as a Research Scientist and Post-Doctoral Researcher in the Institute of Autonomous Systems, Universiti Teknologi PETRONAS, Perak, Malaysia, from 2019 to 2020. He also worked with TATA Consultancy Service (TCS) as an Assistant Systems Engineer from 2014 to 2015. His current research interests include chaos prediction, nonlinear process modeling, fractional-order control,and optimization.




Dr. Sahaj Saxena received the B.Tech. (Electronics Engineering) degree from Kamla Nehru Institute of Technology, Sultanpur, Uttar Pradesh, in 2010, and the M.Tech. (Electrical Engineering) and Ph.D. degrees from the Indian Institute of Technology Roorkee in 2012 and 2017, respectively. He was as a Post-Doctoral Fellow with the Tel Aviv University, Israel, for a year in 2019. Currently, he is an Assistant Professor in the Electrical and Instrumentation Engineering Department at Thapar Institute of Engineering and Technology, Patiala, Punjab. He is a recipient of IETE M. N. Saha Memorial Award for the best application-oriented paper in 2020. His research interests include fractional-order control systems, security and control of power systems and biomedical devices. He has 17 publications in reputed journals and 15 conference papers.

Bibliographic Information

  • Book Title: Applied Fractional Calculus in Identification and Control

  • Editors: Utkal Mehta, Kishore Bingi, Sahaj Saxena

  • Series Title: Studies in Infrastructure and Control

  • DOI: https://doi.org/10.1007/978-981-19-3501-5

  • Publisher: Springer Singapore

  • eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)

  • Copyright Information: The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Singapore Pte Ltd. 2022

  • Hardcover ISBN: 978-981-19-3500-8Published: 11 September 2022

  • Softcover ISBN: 978-981-19-3503-9Published: 12 September 2023

  • eBook ISBN: 978-981-19-3501-5Published: 10 September 2022

  • Series ISSN: 2730-6453

  • Series E-ISSN: 2730-6461

  • Edition Number: 1

  • Number of Pages: XII, 205

  • Number of Illustrations: 15 b/w illustrations, 88 illustrations in colour

  • Topics: Control and Systems Theory, Renewable and Green Energy, Optimization

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