Fractional Order Control and Synchronization of Chaotic Systems

1. Front Matter

   Pages i-xii

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2. Fractional Order Control Systems

   1. Front Matter

      Pages 1-1

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   2. Comparative Study on Fractional Order PID and PID Controllers on Noise Suppression for Manipulator Trajectory Control

      • Vineet Kumar, K. P. S. Rana

      Pages 3-28

   3. Control of the Temperature of a Finite Diffusive Interface Medium Using the CRONE Controller

      • X. Moreau, R. Abi Zeid Daou, F. Christophy

      Pages 29-56

   4. Grey Predictor Assisted Fuzzy and Fractional Order Fuzzy Control of a Moving Cart Inverted Pendulum

      • Amanvir Singh Sidana, Akarsh Kumar, Akshit Kanda, Vineet Kumar, K. P. S. Rana

      Pages 57-90

   5. \( {\text{H}}_{{\infty }} \) Design with Fractional-Order \( {\text{PI}}^{\uplambda } {\text{D}}^{\upmu } \) Type Controllers

      • De-Jin Wang

      Pages 91-129

   6. On the Electronic Realizations of Fractional-Order Phase-Lead-Lag Compensators with OpAmps and FPAAs

      • Carlos Muñiz-Montero, Luis A. Sánchez-Gaspariano, Carlos Sánchez-López, Víctor R. González-Díaz, Esteban Tlelo-Cuautle

      Pages 131-164

   7. Robust Adaptive Supervisory Fractional Order Controller for Optimal Energy Management in Wind Turbine with Battery Storage

      • B. Meghni, D. Dib, Ahmad Taher Azar, S. Ghoudelbourk, A. Saadoun

      Pages 165-202

   8. Robust Adaptive Interval Type-2 Fuzzy Synchronization for a Class of Fractional Order Chaotic Systems

      • Khatir Khettab, Yassine Bensafia, Samir Ladaci

      Pages 203-224

   9. Optimal Fractional Order Proportional—Integral—Differential Controller for Inverted Pendulum with Reduced Order Linear Quadratic Regulator

      • M. E. Mousa, M. A. Ebrahim, M. A. Moustafa Hassan

      Pages 225-252

   10. Towards a Robust Fractional Order PID Stabilizer for Electric Power Systems

       • Magdy A.S. Aboelela, Hisham M. Soliman

       Pages 253-275

   11. Application of Fractional Order Controllers on Experimental and Simulation Model of Hydraulic Servo System

       • M. El-Sayed M. Essa, Magdy A. S. Aboelela, M. A. M. Hassan

       Pages 277-324

   12. Control and Synchronization of Fractional-Order Chaotic Systems

       • Ahmed G. Radwan, Wafaa S. Sayed, Salwa K. Abd-El-Hafiz

       Pages 325-355

   13. Adaptive Control of a Novel Nonlinear Double Convection Chaotic System

       • Sundarapandian Vaidyanathan, Quanmin Zhu, Ahmad Taher Azar

       Pages 357-385

   14. On the Terminal Full Order Sliding Mode Control of Uncertain Chaotic Systems

       • Anchan Saxena, Apeksha Tandon, Awadhi Saxena, K. P. S. Rana, Vineet Kumar

       Pages 387-430

   15. Stabilization of Fractional Order Discrete Chaotic Systems

       • M. K. Shukla, B. B. Sharma

       Pages 431-445

3. Applications of Fractional Order Chaotic Systems

   1. Front Matter

      Pages 447-447

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   2. A Three-Dimensional No-Equilibrium Chaotic System: Analysis, Synchronization and Its Fractional Order Form

      • Viet-Thanh Pham, Sundarapandian Vaidyanathan, Christos K. Volos, Ahmad Taher Azar, Thang Manh Hoang, Vu Van Yem

      Pages 449-470

   3. Comparison of Three Different Synchronization Schemes for Fractional Chaotic Systems

      • S. T. Ogunjo, K. S. Ojo, I. A. Fuwape

      Pages 471-495

   4. On New Fractional Inverse Matrix Projective Synchronization Schemes

      • Adel Ouannas, Ahmad Taher Azar, Toufik Ziar, Sundarapandian Vaidyanathan

      Pages 497-524

The book reports on the latest advances in and applications of fractional order control and synchronization of chaotic systems, explaining the concepts involved in a clear, matter-of-fact style. It consists of 30 original contributions written by eminent scientists and active researchers in the field that address theories, methods and applications in a number of research areas related to fractional order control and synchronization of chaotic systems, such as: fractional chaotic systems, hyperchaotic systems, complex systems, fractional order discrete chaotic systems, chaos control, chaos synchronization, jerk circuits, fractional chaotic systems with hidden attractors, neural network, fuzzy logic controllers, behavioral modeling, robust and adaptive control, sliding mode control, different types of synchronization, circuit realization of chaotic systems, etc. 


In addition to providing readers extensive information on chaos fundamentals, fractional calculus, fractional differential equations, fractional control and stability, the book also discusses key applications of fractional order chaotic systems, as well as multidisciplinary solutions developed via control modeling. As such, it offers the perfect reference guide for graduate students, researchers and practitioners in the areas of fractional order control systems and fractional order chaotic systems.

• Fuzzy Fractional Order Controller
• Fractional-order Integrator
• Fractional Calculus
• Hyperchaotic Systems
• Modeling of Physical Systems
• Chaos Anti-synchronization
• Chaos Analysis
• Chaos Anti-control
• Chaotic Electronics
• Chaos-based Digital Communication

• Faculty of Computers and Information, Benha University Faculty of Computers and Information, AND Nanoelectronics Integrated Systems Center (NISC), Nile University, Egypt. , Benha, Egypt

  Ahmad Taher Azar

• Research and Development Centre, Vel Tech University Research and Development Centre, Chennai, India

  Sundarapandian Vaidyanathan

• Department of Mathematics and CS, University of Tebessa Department of Mathematics and CS, Tebessa, Algeria

  Adel Ouannas

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