Journal Article10.1016/J.CHAOS.2003.12.079
Chaos synchronization using single variable feedback based on backstepping method
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TL;DR: In this article, an effective back-stepping design is applied to chaos synchronization, such as the synchronization error is exponential convergent; only one variable information of the master system is needed; and a systematic procedure for selecting a proper controller.
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Abstract: In recent years, backstepping method has been developed in the field of nonlinear control, such as controller, observer and output regulation. In this paper, an effective backstepping design is applied to chaos synchronization. There are some advantages in this method for synchronizing chaotic systems, such as (a) the synchronization error is exponential convergent; (b) only one variable information of the master system is needed; (c) it presents a systematic procedure for selecting a proper controller. Numerical simulations for the Chua's circuit and the Rossler system demonstrate that this method is very effective.
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Citations
Synchronization of different fractional order chaotic systems using active control
TL;DR: In this article, the authors utilized active control technique to synchronize different fractional order chaotic dynamical systems and investigated the interrelationship between the (fractional) order and synchronization.
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Backstepping Controller Design for the Global Chaos Synchronization of Sprott’s Jerk Systems
Sundarapandian Vaidyanathan,B. A. Idowu,Ahmad Taher Azar +2 more
- 01 Jan 2015
TL;DR: This research work investigates the global chaos synchronization of Sprott’s jerk chaotic system using backstepping control method, a recursive procedure that links the choice of a Lyapunov function with the design of a controller and guarantees global asymptotic stability of strict-feedback chaotic systems.
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Anti-synchronization of Identical Chaotic Systems Using Sliding Mode Control and an Application to Vaidyanathan–Madhavan Chaotic Systems
Sundarapandian Vaidyanathan,Ahmad Taher Azar +1 more
- 01 Jan 2015
TL;DR: A sliding mode controller is derived for the anti-synchronization of the identical Vaidyanathan–Madhavan chaotic systems using sliding mode control and the main result has been proved using Lyapunov stability theory.
147
Hybrid Synchronization of Identical Chaotic Systems Using Sliding Mode Control and an Application to Vaidyanathan Chaotic Systems
Sundarapandian Vaidyanathan,Ahmad Taher Azar +1 more
- 01 Jan 2015
TL;DR: A sliding mode controller is derived for the hybrid phase synchronization of the identical 3-D Vaidyanathan chaotic systems using sliding mode control using Lyapunov stability theory.
145
Analysis, Control and Synchronization of a Nine-Term 3-D Novel Chaotic System
Sundarapandian Vaidyanathan,Ahmad Taher Azar +1 more
- 01 Jan 2015
TL;DR: This research work describes a nine-term 3-D novel chaotic system with four quadratic nonlinearities and describes the adaptive control and synchronization of the identical novel chaotic systems with unknown system parameters.
126
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