Applied Fractional Calculus in Identification and Control

ISBN-13: 9789811935039 / Angielski / Miękka / 2023

Opis

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.

Spis treści

CHAPTER 1: Introduction

1.1 Preliminary

1.2 Fractional-order systems and mathematical definitions

1.3 Implementation Software and Challenges

1.4 Summary

CHAPTER 2: Fractional-Order Wireless Power Transfer System

2.1 Introduction

2.2 Wireless Power transfer system and its modeling

2.3 Fractional modeling and its characteristics

2.4 Results and Discussion

2.5 Conclusion

CHAPTER 3: Fractional-Order Comb Filter Design for Power Line Interference Removal

3.1 Introduction

3.2 Characteristics of basic comb filter

3.3 Proposed design of fractional-order comb filter (series notch filter)

3.4 Verification and comparison with classical comb filter

 3.6 Conclusion

CHAPTER 4: Exploitation of fractional PI scheme in load frequency control on a hybrid multi-area power

system

4.1 Introduction

4.2 Mathematical Model of System Investigated

4.3 Proposed schemes

4.4 Implementation and Validations

 4.6 Conclusion

CHAPTER 5: Real time design and implementation of fractional control scheme on quadrotor aircraft

5.1 Introduction

5.2 Mathematical Model of a Quadrotor aircraft

5.3 Design Fractional PI controller for Quadrotor

5.4 Simulation results of the Parrot Rolling Spider quadrotor

5.5 Real time implementation

5.5.1 Step by Step hardware implementation of the controller

5.5.2 Experiment results

5.5.3 Discussion

 5.6 Conclusion

CHAPTER 6: Approximation of Fractional-order Time Delay Systems Using Curve Fitting Technique

6.1 Introduction

6.2 Preliminaries

6.2.1 Fractional-order Time Delay System

6.2.2 Pade Approximation

6.3 Proposed Curve Fitting Approximation

6.4 Simulation Study

6.5 Conclusion

CHAPTER 7: An Improved Arithmetic Optimization Algorithm with Application to the Tuning of Complex

Fractional-Order PI Controllers

7.1 Introduction

7.2 Preliminaries

7.2.1 Complex Fractional-order PI Controller

7.2.2 Arithmetic Optimization Technique

7.3 Proposed Approach

7.3.1 Proposed Improved Arithmetic Optimization Technique

7.3.2 Tuning of Complex Fractional-order PI Controller

7.4 Simulation Study

7.5 Conclusion

CHAPTER 8: An Algorithm to Select a Fractional-Order Model Using Metaheuristic Approach

8.1 Introduction

8.2 Methodology

8.3 Proposed Study

8.4 Validation

8.5 Conclusion

CHAPTER 9: Designing of set-point weighted fractional-order PI-PD controller for dead-time processes

with additional filtering

9.1 Introduction

9.2 Preliminaries

9.3 Proposed set-point weighted fractional-order PI-PD design

9.4 Simulation & Real-time Study

9.5 Conclusion

CHAPTER 10: Fractional-order internal model control for integrating systems with time delay

10.1 Introduction to integrating systems with time delay

10.2 Problem formulation

10.3 Internal model control approach

10.4 Numerical examples

10.5 Conclusions

CHAPTER 11: A fractional calculus approach for control of artificial pancreas

11.1 Artificial pancreas (AP) for type 1 diabetes

11.2 Control oriented model for AP system

11.3 Proposed control law

11.4 Results and discussions

11.5 Concluding remarks

CHAPTER 12: Optimum Fractional-order PID controller for Quadrature car model for a comfortable ride

12.1 Introduction

12.2 Mathematical model

12.3 Design of fractional PID

12.4 Results

12.5 Conclusions

CHAPTER 13: An Interactive Approach to the Identification of Weiner Structures based on FractionalOrder Models

13.1 Introduction

 13.1.1 Weiner Structure

 13.1.2 Mathematical Preliminaries

13.2 Fractional-Order Model of Weiner Systems

13.3 The Interactive Estimation Approach

13.4 Numerical Examples and Analyses

13.5 Conclusion 

O autorze

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.