Mehta / Bingi / Saxena Applied Fractional Calculus in Identification and Control

1. Auflage 2022
ISBN: 978-981-19-3501-5
Verlag: Springer Singapore
Format: PDF
Kopierschutz: 1 - PDF Watermark

E-Book, Englisch, 205 Seiten, eBook

Reihe: Studies in Infrastructure and Control

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.

Zielgruppe

Research

Autoren/Hrsg.

Mehta, Utkal

Bingi, Kishore

Saxena, Sahaj

Inhaltsverzeichnis

CHAPTER 1: Introduction1.1 Preliminary1.2 Fractional-order systems and mathematical definitions1.3 Implementation Software and Challenges1.4 SummaryCHAPTER 2: Fractional-Order Wireless Power Transfer System2.1 Introduction2.2 Wireless Power transfer system and its modeling2.3 Fractional modeling and its characteristics2.4 Results and Discussion2.5 ConclusionCHAPTER 3: Fractional-Order Comb Filter Design for Power Line Interference Removal3.1 Introduction3.2 Characteristics of basic comb filter3.3 Proposed design of fractional-order comb filter (series notch filter)3.4 Verification and comparison with classical comb filter 3.6 ConclusionCHAPTER 4: Exploitation of fractional PI scheme in load frequency control on a hybrid multi-area powersystem4.1 Introduction4.2 Mathematical Model of System Investigated4.3 Proposed schemes4.4 Implementation and Validations 4.6 ConclusionCHAPTER 5: Real time design and implementation of fractional control scheme on quadrotor aircraft5.1 Introduction5.2 Mathematical Model of a Quadrotor aircraft5.3 Design Fractional PI controller for Quadrotor5.4 Simulation results of the Parrot Rolling Spider quadrotor5.5 Real time implementation5.5.1 Step by Step hardware implementation of the controller5.5.2 Experiment results5.5.3 Discussion 5.6 ConclusionCHAPTER 6: Approximation of Fractional-order Time Delay Systems Using Curve Fitting Technique6.1 Introduction6.2 Preliminaries6.2.1 Fractional-order Time Delay System6.2.2 Pade Approximation6.3 Proposed Curve Fitting Approximation6.4 Simulation Study6.5 ConclusionCHAPTER 7: An Improved Arithmetic Optimization Algorithm with Application to the Tuning of ComplexFractional-Order PI Controllers7.1 Introduction7.2 Preliminaries7.2.1 Complex Fractional-order PI Controller7.2.2 Arithmetic Optimization Technique7.3 Proposed Approach7.3.1 Proposed Improved Arithmetic Optimization Technique7.3.2 Tuning of Complex Fractional-order PI Controller7.4 Simulation Study7.5 ConclusionCHAPTER 8: An Algorithm to Select a Fractional-Order Model Using Metaheuristic Approach8.1 Introduction8.2 Methodology8.3 Proposed Study8.4 Validation8.5 ConclusionCHAPTER 9: Designing of set-point weighted fractional-order PI-PD controller for dead-time processeswith additional filtering9.1 Introduction9.2 Preliminaries9.3 Proposed set-point weighted fractional-order PI-PD design9.4 Simulation & Real-time Study9.5 ConclusionCHAPTER 10: Fractional-order internal model control for integrating systems with time delay10.1 Introduction to integrating systems with time delay10.2 Problem formulation10.3 Internal model control approach10.4 Numerical examples10.5 ConclusionsCHAPTER 11: A fractional calculus approach for control of artificial pancreas11.1 Artificial pancreas (AP) for type 1 diabetes11.2 Control oriented model for AP system11.3 Proposed control law11.4 Results and discussions11.5 Concluding remarksCHAPTER 12: Optimum Fractional-order PID controller for Quadrature car model for a comfortable ride12.1 Introduction12.2 Mathematical model12.3 Design of fractional PID12.4 Results12.5 ConclusionsCHAPTER 13: An Interactive Approach to the Identification of Weiner Structures based on FractionalOrder Models13.1 Introduction 13.1.1 Weiner Structure 13.1.2 Mathematical Preliminaries13.2 Fractional-Order Model of Weiner Systems13.3 The Interactive Estimation Approach13.4 Numerical Examples and Analyses13.5 Conclusion

Über Autor(innen)

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.