Fractional Order Systems: Optimization, Control, Circuit Realizations and Applications consists of 21 contributed chapters by subject experts. Chapters offer practical solutions and novel methods for recent research problems in the multidisciplinary applications of fractional order systems, such as FPGA, circuits, memristors, control algorithms, photovoltaic systems, robot manipulators, oscillators, etc. This book is ideal for researchers working in the modeling and applications of both continuous-time and discrete-time dynamics and chaotic systems. Researchers from academia and industry who are working in research areas such as control engineering, electrical engineering, mechanical engineering, computer science, and information technology will find the book most informative.
1. 1 Introduction - p. 63 2. 2 A General Multistrain TB Model of Fractional-Order Derivatives - p. 65 3. 3 Numerical Methods for Solving a General Multistrain TB Model - p. 69 4. 4 Optimal Control of Fractional Multistrain TB Model - p. 70 5. 5 Conclusions - p. 81 6. Chapter 4: Fractional-Order Models for HIV Viral and Epidemiological Dynamics - p. 87 7. Chapter 5: Biologically Inspired Optimization Algorithms for Fractional-Order Bioimpedance Models Parameters Extraction - p. 124 8. Chapter 6: Fractional-Order Integrated Circuits in Control Applications and Biological Modeling - p. 162 9. Chapter 7: Bioimpedance Analysis Using Fractional-Order Equivalent Electrical Circuits - p. 204 10. Chapter 8: On the Approximation of Fractional-Order Circuit Design - p. 237 11. Chapter 9: On the Fractional-Order Circuit Design: Sensitivity and Yield - p. 270 12. Chapter 10: Survey on Two-Port Network-Based Fractional-Order Oscillators - p. 304 13. Chapter 11: On Linear and Nonlinear Electric Circuits: A Local Fractional Calculus Approach - p. 327 14. Abstract - p. 329 15. 1 Introduction - p. 329 16. 2 Preliminary - p. 330 17. 3 The Nondifferentiable Elements Within LFD - p. 334 18. 4 The Linear LC Electric Circuit via LFD - p. 336 19. 5 The Linear RC Electric Circuit via Local Fractional Derivatives - p. 340 20. 6 The Nonlinear LC Electric Circuits via LFD - p. 345 21. 7 The Nonlinear RC Electric Circuits via LFD - p. 349 22. 8 Conclusion - p. 351 23. Acknowledgments - p. 352 24. Chapter 12: Fractional-Order Filter Design - p. 355 25. Chapter 13: Analog Filters With Arbitrarily Adjustable Frequency Response - p. 382 26. Chapter 14: Memristive Fractional-Order Nonlinear Model for Circuit Design - p. 419 27. Chapter 15: Estimation Methods for Fractional-Order Systems: Asymptotic Versus Nonasymptotic Approaches - p. 449 28. Abstract - p. 451 29. 1 Introduction - p. 451 30. 2 Preliminaries on Fractional Calculus - p. 452 31. 3 Robust Adaptive Observer Design for Nonlinear Systems: Asymptotic Approach - p. 456 32. 4 Modulating Functions-Based Estimation Algorithm: Nonasymptotic Approach - p. 463 33. 5 Conclusion - p. 473 34. Chapter 16: Control of a Three-Link Manipulator Using Fractional-Order PID Controller - p. 475 35. Chapter 17: Development of a Fractional-Order PID Controller Using Adaptive Weighted PSO and Genetic Algorithms With Applications - p. 510 36. Chapter 18: Fractional-Order PI Controller for Permanent Magnet Synchronous Motor: A Design-Based Comparative Study - p. 551 37. Chapter 19: Description of the Control Strategies by A-Fractional-Order Backward Difference - p. 578 38. Chapter 20: Conventional, Intelligent, and Fractional-Order Control Method for Maximum Power Point Tracking of a Photovoltaic System: A Review - p. 601 39. Chapter 21: A BSA Tuned Fractional-Order PID Controller for Enhanced MPPT in a Photovoltaic System - p. 671 40. Index - p. 705
Fractional Order Systems: Optimization, Control, Circuit Realizations and Applications consists of 21 contributed chapters by subject experts. Chapters offer practical solutions and novel methods for recent research problems in the multidisciplinary applications of fractional order systems, such as FPGA, circuits, memristors, control algorithms, photovoltaic systems, robot manipulators, oscillators, etc. This book is ideal for researchers working in the modeling and applications of both continuous-time and discrete-time dynamics and chaotic systems. Researchers from academia and industry who are working in research areas such as control engineering, electrical engineering, mechanical engineering, computer science, and information technology will find the book most informative.
1. 1 Introduction - p. 63 2. 2 A General Multistrain TB Model of Fractional-Order Derivatives - p. 65 3. 3 Numerical Methods for Solving a General Multistrain TB Model - p. 69 4. 4 Optimal Control of Fractional Multistrain TB Model - p. 70 5. 5 Conclusions - p. 81 6. Chapter 4: Fractional-Order Models for HIV Viral and Epidemiological Dynamics - p. 87 7. Chapter 5: Biologically Inspired Optimization Algorithms for Fractional-Order Bioimpedance Models Parameters Extraction - p. 124 8. Chapter 6: Fractional-Order Integrated Circuits in Control Applications and Biological Modeling - p. 162 9. Chapter 7: Bioimpedance Analysis Using Fractional-Order Equivalent Electrical Circuits - p. 204 10. Chapter 8: On the Approximation of Fractional-Order Circuit Design - p. 237 11. Chapter 9: On the Fractional-Order Circuit Design: Sensitivity and Yield - p. 270 12. Chapter 10: Survey on Two-Port Network-Based Fractional-Order Oscillators - p. 304 13. Chapter 11: On Linear and Nonlinear Electric Circuits: A Local Fractional Calculus Approach - p. 327 14. Abstract - p. 329 15. 1 Introduction - p. 329 16. 2 Preliminary - p. 330 17. 3 The Nondifferentiable Elements Within LFD - p. 334 18. 4 The Linear LC Electric Circuit via LFD - p. 336 19. 5 The Linear RC Electric Circuit via Local Fractional Derivatives - p. 340 20. 6 The Nonlinear LC Electric Circuits via LFD - p. 345 21. 7 The Nonlinear RC Electric Circuits via LFD - p. 349 22. 8 Conclusion - p. 351 23. Acknowledgments - p. 352 24. Chapter 12: Fractional-Order Filter Design - p. 355 25. Chapter 13: Analog Filters With Arbitrarily Adjustable Frequency Response - p. 382 26. Chapter 14: Memristive Fractional-Order Nonlinear Model for Circuit Design - p. 419 27. Chapter 15: Estimation Methods for Fractional-Order Systems: Asymptotic Versus Nonasymptotic Approaches - p. 449 28. Abstract - p. 451 29. 1 Introduction - p. 451 30. 2 Preliminaries on Fractional Calculus - p. 452 31. 3 Robust Adaptive Observer Design for Nonlinear Systems: Asymptotic Approach - p. 456 32. 4 Modulating Functions-Based Estimation Algorithm: Nonasymptotic Approach - p. 463 33. 5 Conclusion - p. 473 34. Chapter 16: Control of a Three-Link Manipulator Using Fractional-Order PID Controller - p. 475 35. Chapter 17: Development of a Fractional-Order PID Controller Using Adaptive Weighted PSO and Genetic Algorithms With Applications - p. 510 36. Chapter 18: Fractional-Order PI Controller for Permanent Magnet Synchronous Motor: A Design-Based Comparative Study - p. 551 37. Chapter 19: Description of the Control Strategies by A-Fractional-Order Backward Difference - p. 578 38. Chapter 20: Conventional, Intelligent, and Fractional-Order Control Method for Maximum Power Point Tracking of a Photovoltaic System: A Review - p. 601 39. Chapter 21: A BSA Tuned Fractional-Order PID Controller for Enhanced MPPT in a Photovoltaic System - p. 671 40. Index - p. 705