Backstepping Control of Nonlinear Dynamical Systems

1st Edition - August 15, 2020
Editors: Sundarapandian Vaidyanathan, Ahmad Taher Azar
Language: English
Paperback ISBN:
9 7 8 - 0 - 1 2 - 8 1 7 5 8 2 - 8
eBook ISBN:
9 7 8 - 0 - 1 2 - 8 1 7 5 8 3 - 5

Backstepping Control of Nonlinear Dynamical Systems addresses both the fundamentals of backstepping control and advances in the field. The latest techniques explored include ‘… Read more

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Backstepping Control of Nonlinear Dynamical Systems addresses both the fundamentals of backstepping control and advances in the field. The latest techniques explored include ‘active backstepping control’, ‘adaptive backstepping control’, ‘fuzzy backstepping control’ and ‘adaptive fuzzy backstepping control’. The reference book provides numerous simulations using MATLAB and circuit design. These illustrate the main results of theory and applications of backstepping control of nonlinear control systems. Backstepping control encompasses varied aspects of mechanical engineering and has many different applications within the field. For example, the book covers aspects related to robot manipulators, aircraft flight control systems, power systems, mechanical systems, biological systems and chaotic systems.

This multifaceted view of subject areas means that this useful reference resource will be ideal for a large cross section of the mechanical engineering community.

Cover image
Title page
Table of Contents
Copyright
Contributors
Preface
About the book
Objectives of the book
Organization of the book
Book features
Audience
Acknowledgments
Chapter 1: An introduction to backstepping control
Abstract
1.1. Introduction
1.2. Backstepping design for a 2-D linear system
1.3. Backstepping design for a 2-D nonlinear system
1.4. Backstepping design for a 3-D linear system
1.5. Backstepping design for the 3-D Vaidyanathan jerk chaotic system
1.6. Backstepping control method
1.7. Examples of backstepping control design
1.8. Conclusions
References
Chapter 2: A new chaotic system without linear term, its backstepping control, and circuit design
Abstract
Acknowledgement
2.1. Introduction
2.2. Properties of the system
2.3. Dynamics of the system
2.4. Backstepping control for the global stabilization of the new chaos system
2.5. Backstepping control for the synchronization of the new chaos systems
2.6. Circuit design
2.7. Conclusions
References
Chapter 3: A new chaotic jerk system with egg-shaped strange attractor, its dynamical analysis, backstepping control, and circuit simulation
Abstract
3.1. Introduction
3.2. System details
3.3. Backstepping control of the jerk system
3.4. Backstepping synchronization of the jerk system
3.5. Circuit design
3.6. Conclusions
References
Chapter 4: A new 4-D chaotic hyperjerk system with coexisting attractors, its active backstepping control, and circuit realization
Abstract
Acknowledgement
4.1. Introduction
4.2. System model
4.3. Dynamic analysis of the new hyperjerk system
4.4. Active backstepping stabilization of the new hyperjerk system
4.5. Active backstepping synchronization of the new hyperjerk system
4.6. Circuit simulation of the new hyperjerk system
4.7. Conclusions
References
Chapter 5: A new 3-D chaotic jerk system with a saddle-focus rest point at the origin, its active backstepping control, and circuit realization
Abstract
Acknowledgements
5.1. Introduction
5.2. System model
5.3. Dynamic analysis of the new jerk system
5.4. Backstepping control of the jerk system
5.5. Backstepping synchronization of the jerk system
5.6. Electronic circuit simulation of the chaotic jerk system
5.7. Conclusions
References
Chapter 6: A new 5-D hyperchaotic four-wing system with multistability and hidden attractor, its backstepping control, and circuit simulation
Abstract
6.1. Introduction
6.2. System model
6.3. Dynamic analysis of the 5-D hyperchaotic four-wing model
6.4. Active backstepping control for the global stabilization design of the new 5-D hyperchaotic four-wing system
6.5. Active backstepping control for the global synchronization design of the new 5-D hyperchaotic four-wing systems
6.6. Circuit simulation of the new 5D hyperchaotic four-wing system
6.7. Conclusions
References
Chapter 7: A new 4-D hyperchaotic temperature variations system with multistability and strange attractor, bifurcation analysis, its active backstepping control, and circuit realization
Abstract
7.1. Introduction
7.2. System model
7.3. Dynamic analysis of the hyperchaotic temperature variations model
7.4. Active backstepping control for the global stabilization design of the new hyperchaotic temperature variations system
7.5. Active backstepping control for the global synchronization design of the new hyperchaos temperature variation systems
7.6. Circuit simulation of the new 4D hyperchaotic temperature variation system
7.7. Conclusions
References
Chapter 8: A new thermally excited chaotic jerk system, its dynamical analysis, adaptive backstepping control, and circuit simulation
Abstract
8.1. Introduction
8.2. A new jerk system with two nonlinearities
8.3. Dynamic analysis of the new thermo-mechanical jerk model
8.4. Adaptive backstepping control of the new thermo-mechanical jerk system
8.5. Adaptive backstepping synchronization of the new thermo-mechanical jerk systems
8.6. Electronic circuit simulation of the new thermo-mechanical chaotic jerk system
8.7. Conclusions
References
Chapter 9: A new multistable plasma torch chaotic jerk system, its dynamical analysis, active backstepping control, and circuit design
Abstract
9.1. Introduction
9.2. A new plasma torch chaotic jerk system with two nonlinearities
9.3. Dynamic analysis of the new plasma torch chaotic jerk model
9.4. Active backstepping control for the global stabilization of the new plasma torch chaotic jerk system
9.5. Active backstepping control for the global synchronization of the new plasma torch chaotic jerk systems
9.6. Electronic circuit simulation of the new plasma torch chaotic jerk system
9.7. Conclusions
References
Chapter 10: Direct power control of three-phase PWM-rectifier with backstepping control
Abstract
10.1. Introduction
10.2. Mathematical model of PWM-rectifier
10.3. Principle and definitions of backstepping control
10.4. Control of DC-voltage by backstepping
10.5. Simulation results
10.6. Conclusion
References
Chapter 11: Adaptive backstepping controller for DFIG-based wind energy conversion system
Abstract
11.1. Introduction
11.2. Wind sensor-less rotor speed reference optimization
11.3. Modeling ‘AC/DC/AC converter-DFIG’ association
11.4. Controller design
11.5. Simulation results and discussions
11.6. Conclusion
References
Chapter 12: Dynamic modeling, identification, and a comparative experimental study on position control of a pneumatic actuator based on Soft Switching and Backstepping–Sliding Mode controllers
Abstract
12.1. Introduction
12.2. Related works
12.3. Experimental setup of the PneuSys
12.4. Dynamic modeling of the pneumatic system
12.5. GA-based identification of the PneuSys and validation
12.6. Proposed controllers; Model-free and Model-based controllers
12.7. Experimental results
12.8. Discussion
12.9. Conclusion
References
Chapter 13: Optimal adaptive backstepping control for chaos synchronization of nonlinear dynamical systems
Abstract
13.1. Introduction
13.2. Chaos detection and chaos synchronization
13.3. Problem statement and preliminaries
13.4. Stability analysis of adaptive backstepping control systems
13.5. The PID controller based on genetic algorithms
13.6. Simulation examples and discussion
13.7. Conclusion
References
Chapter 14: Backstepping controller for nonlinear active suspension system
Abstract
14.1. Introduction
14.2. Plant model and problem statement
14.3. Backstepping controller synthesis
14.4. Results and discussions
14.5. Conclusions
References
Chapter 15: Single-link flexible joint manipulator control using backstepping technique
Abstract
15.1. Introduction
15.2. Single-link flexible joint manipulator model
15.3. Controller design using backstepping technique
15.4. Optimization algorithms
15.5. Results and discussions
15.6. Conclusion
References
Chapter 16: Backstepping control and synchronization of chaotic time delayed systems
Abstract
16.1. Introduction
16.2. Related work
16.3. Backstepping stabilization of time delayed systems
16.4. Backstepping synchronization of time delayed chaotic systems
16.5. Numerical examples
16.6. Discussion
16.7. Conclusion
References
Chapter 17: Multi-switching synchronization of nonlinear hyperchaotic systems via backstepping control
Abstract
17.1. Introduction
17.2. Problem formulation
17.3. System description
17.4. Simulation results and discussions
17.5. Conclusion
References
Chapter 18: A 5-D hyperchaotic dynamo system with multistability, its dynamical analysis, active backstepping control, and circuit simulation
Abstract
18.1. Introduction
18.2. System model
18.3. Dynamic analysis of the 5-D hyperchaotic dynamo model
18.4. Active backstepping control for the global stabilization design of the new 5-D hyperchaotic dynamo system
18.5. Active backstepping control for the global synchronization design of the new 5-D hyperchaotic dynamo systems
18.6. Circuit simulation of the new 5D hyperchaotic system
18.7. Conclusions
References
Chapter 19: Design and implementation of a backstepping controller for nonholonomic two-wheeled inverted pendulum mobile robots
Abstract
19.1. Introduction
19.2. Distributed controller design based on backstepping approach
19.3. Discrete event modeling and control net representation
19.4. Implementation issues on a multi-task processing architecture
19.5. Conclusion
References
Chapter 20: A novel chaotic system with a closed curve of four quarter-circles of equilibrium points: dynamics, active backstepping control, and electronic circuit implementation
Abstract
Acknowledgement
20.1. Introduction
20.2. A new chaotic system with closed-curve equilibrium
20.3. Dynamic analysis of the new chaotic system with a closed-curve equilibrium
20.4. Active backstepping control for the global stabilization of the new chaos system with a closed-curve equilibrium
20.5. Active backstepping control for the synchronization of the new chaos systems
20.6. Circuit design for the new chaotic system with a closed-curve equilibrium
20.7. Conclusions
References
Index

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Backstepping Control of Nonlinear Dynamical Systems

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Sundarapandian Vaidyanathan

Ahmad Taher Azar

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