Fractional-Order Design
Devices, Circuits, and Systems
- 1st Edition - October 22, 2021
- Latest edition
- Editors: Ahmed G. Radwan, Farooq Ahmad Khanday, Lobna A. Said
- Language: English
Fractional-Order Design: Devices, Circuits, and Systems introduces applications from the design perspective so that the reader can learn about, and get ready to, design these app… Read more
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Description
Description
Fractional-Order Design: Devices, Circuits, and Systems introduces applications from the design perspective so that the reader can learn about, and get ready to, design these applications. The book also includes the different techniques employed to comprehensively and straightforwardly design fractional-order systems/devices. Furthermore, a lot of mathematics is available in the literature for solving the fractional-order calculus for system application. However, a small portion is employed in the design of fractional-order systems. This book introduces the mathematics that has been employed explicitly for fractional-order systems.
Students and scholars who wants to quickly understand the field of fractional-order systems and contribute to its different domains and applications will find this book a welcomed resource.
Key features
Key features
- Presents a simple and comprehensive understanding of the field of fractional-order systems
- Offers practical knowledge on the design of fractional-order systems for different applications
- Exposes users to the possible new areas of applications of fractional-order systems
Readership
Readership
Table of contents
Table of contents
List of contributors
1. MOS realizations of fractional-order elements
Stavroula Kapoulea, Panagiotis Bertsias, Costas Psychalinos, and Ahmed S. Elwakil
1.1. Introduction
1.2. CPE/FI emulation techniques
1.3. Practical aspects
1.4. Conclusions and discussion
Acknowledgment
References
2. A chaotic system with equilibria located on a line and its fractional-order form
Karthikeyan Rajagopal, Fahimeh Nazarimehr, Alireza Bahramian, and Sajad Jafari
2.1. Introduction
2.2. Model of the proposed flow and its dynamics
2.3. Fractional-order form
2.4. Circuit implementation
2.5. FPGA implementation of the chaotic system
2.6. Conclusion
References
3. Approximation of fractional-order elements for sinusoidal oscillators
Shalabh K. Mishra, Dharmendra K. Upadhyay, and Maneesha Gupta
3.1. Introduction
3.2. R-C network-based FDs
3.3. FDs for sinusoidal oscillators
3.4. Performance analysis
3.5. Conclusion and scope of future research
References
4. Synchronization between fractional chaotic maps with different dimensions
Adel Ouannas, Amina-Aicha Khennaoui, Iqbal M. Batiha, and Viet-Thanh Pham
4.1. Introduction
4.2. Preliminaries
4.3. Combined synchronization of 2D fractional maps
4.4. Combined synchronization of 3D fractional maps
4.5. Concluding remarks and future works
Acknowledgments
References
5. Stabilization of different dimensional fractional chaotic maps
Adel Ouannas, Amina-Aicha Khennaoui, Iqbal M. Batiha, and Viet-Thanh Pham
5.1. Introduction
5.2. Basic tools
5.3. Stabilization of 2D fractional maps
5.4. Stabilization of 3D fractional maps
5.5. Summary and future works
Acknowledgments
References
6. Observability of speed DC motor with self-tuning fuzzy-fractional-order controller
Arezki Fekik, Mohamed Lamine Hamida, Hamza Houassine, Hakim Denoun, Sundarapandian Vaidyanathan, Nacera Yassa, Ahmed G. Radwan, and Lobna A. Said
6.1. Introduction
6.2. Mathematical model of DC motor
6.3. Stability of speed estimation
6.4. Proposed speed controller
6.5. Results and discussion
6.6. Conclusions
References
7. Chaos control and fractional inverse matrix projective difference synchronization on parallel chaotic systems with application
Pushali Trikha, Lone Seth Jahanzaib, and Ayub Khan
7.1. Introduction
7.2. Preliminaries
7.3. The fractional inverse matrix projective difference synchronization
7.4. Illustration in secure communication
7.5. Conclusions
References
8. Aggregation of chaotic signal with proportional fractional derivative execution in communication and circuit simulation
Najeeb Alam Khan, Saeed Akbar, Muhammad Ali Qureshi, and Tooba Hameed
8.1. Introduction
8.2. Fractional-order chaotic systems and their properties
8.3. Analog circuit imitation
8.4. Security analysis
8.5. Conclusion
References
9. CNT-based fractors in all four quadrants: design, simulation, and practical applications
Avishek Adhikary
9.1. Introduction
9.2. Fractor: definitions and state-of-the-art
9.3. A wide-CPZ, long-life, packaged CNT fractor
9.4. Fractors with desired specifications
9.5. Four-quadrant FO immittances using CNT fractors
9.6. Application of four-quadrant CNT fractors
9.7. Conclusion
Appendix 9.A MATLAB program to determine RC ladder parameters for five FO specifications
Acknowledgments
References
10. Fractional-order systems in biological applications: estimating causal relations in a system with inner connectivity using fractional moments
Zahra Tabanfar, Farnaz Ghassemi, Alireza Bahramian, Ali Nouri, Ensieh Ghaffari Shad, and Sajad Jafari
10.1. Introduction
10.2. Related work
10.3. Fractional moments and fractional cumulants
10.4. Hindmarsh–Rose model
10.5. Estimating causal relations
10.6. Causal direction pattern recognition
10.7. Discussion
10.8. Conclusion
References
11. Unitary fractional-order derivative operators for quantum computation
Baris Baykant Alagoz and Serkan Alagoz
11.1. Introduction
11.2. A brief survey on geometric phase concepts in quantum computation
11.3. Methodology
11.4. Some quantum computation implications for unitary fractional-order derivative operators
11.5. Discussion and conclusions
Appendix 11.A
References
12. Analysis and realization of fractional step filters of order (1 + α)
Gagandeep Kaur, A.Q. Ansari, and M.S. Hashmi
12.1. Introduction
12.2. Analysis of fractional step filters
12.3. Numerical analysis and simulations of FSFs of order (1 + α)
12.4. Stability
12.5. Sensitivity analysis
12.6. Conclusion
References
13. Fractional-order identification and synthesis of equivalent circuit for electrochemical system based on pulse voltammetry
Sanjeev Kumar and Arunangshu Ghosh
13.1. Introduction
13.2. Experimental setup
13.3. Fractional-order models
13.4. Identification of fractional-order transfer function
13.5. Proposed circuit with fractional-order elements
13.6. Principal component analysis: towards electronic tongue application
13.7. Conclusions
References
14. Higher-order fractional elements: realizations and applications
Neeta Pandey, Rajeshwari Pandey, and Rakesh Verma
14.1. Introduction
14.2. Realization of FOEs with fractional order < 1
14.3. Realization of fractional-order element with 1 < fractional order < n
14.4. Application
14.5. Conclusion
References
15. Fabrication of polymer nanocomposite-based fractional-order capacitor: a guide
Zaid Mohammad Shah, Farooq Ahmad Khanday, Gul Faroz Ahmad Malik, and Zahoor Ahmad Jhat
15.1. Introduction
15.2. Polymers
15.3. Ferroelectric polymers
15.4. Conductive fillers
15.5. Methods of synthesis
15.6. Percolation threshold
15.7. Factors affecting properties of polymer NCs
15.8. A GNS/PVDF FOC
15.9. Conclusion
Acknowledgments
References
16. Design guidelines for fabrication of MWCNT-polymer based solid-state fractional capacitor
Dina Anna John and Karabi Biswas
16.1. Introduction
16.2. Solid-state fractional capacitors
16.3. Batch analysis of the solid-state fractional capacitors for defining the guidelines
16.4. Validation of the defined guidelines
16.5. Material characterization
16.6. Correlating the material characterization with the CPA of a solid-state fractional capacitor
16.7. Conclusion
Acknowledgments
References
Index
Product details
Product details
- Edition: 1
- Latest edition
- Published: October 27, 2021
- Language: English
About the editors
About the editors
AR
Ahmed G. Radwan
FK
Farooq Ahmad Khanday
Dr. Farooq Ahmad Khanday received his M.Sc. (Gold Medallist), M. Phil. and Ph.D. Degrees from the University of Kashmir. He served as Assistant Professor at University of Kashmir, Department of Electronics and Instrumentation Technology, followed by time at the Department of Higher Education J&K, the Department of Electronics and Vocational Studies, Islamia College of Science and Commerce Srinagar. He is currently associate professor in the Department of Electronics and Instrumentation Technology, University of Kashmir.
Dr Khanday’s research interests include neuromorphic computing, fractional-order circuits, low-power circuit design, nano-electronics and stochastic computing. He is author or co-author of more than 150 publications, including eleven book chapters while also editing the PLOS ONE journal. He authored the book, “Nanoscale Electronic Devices and Their Applications” and edited “Neuromorphic Computing” and “Fractional-order Systems” for Elsevier. In addition, he has one patent on “Portable Microcontroller-Based Impedance Meter for Biological Tissue Analysis (563600)”. Dr Khanday was the Management Committee Observer of the COST Action CA15225 for the European Union (Fractional-order systems - analysis, synthesis and their importance for future design) and INSA Visiting Scientist Fellow 2020- 21.
LS