Hybrid Synchronization Research Papers - Academia.edu (original) (raw)

This paper derives new results for the design of sliding mode controller for the hybrid synchronization of
identical hyperchaotic Chen systems (Jia, Dai and Hui, 2010). The synchronizer results derived in this
paper for the hybrid synchronization of identical hyperchaotic Chen systems are established using
Lyapunov stability theory. Since the Lyapunov exponents are not required for these calculations, the
sliding mode control method is very effective and convenient to achieve hybrid synchronization of the
identical hyperchaotic Chen systems. Numerical simulations are shown to illustrate and validate the
hybrid synchronization schemes derived in this paper for the identical hyperchaotic Chen systems.

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- Sliding mode control, Hyperchaos, Hybrid Synchronization, Hyperchaotic Chen System.

This paper investigates the adaptive hybrid chaos synchronization of uncertain 4-D chaotic systems, viz.
identical Lorenz-Stenflo (LS) systems (Stenflo, 2001), identical Qi systems (Qi, Chen and Du, 2005) and non-identical LS and Qi systems with unknown parameters. In hybrid chaos synchronization of master and slave systems, the odd states of the two systems are completely synchronized, while the even states of the two systems are anti-synchronized so that complete synchronization (CS) and anti-synchronization
(AS) co-exist in the synchronization of the two systems. In this paper, we devise adaptive control schemes for the hybrid chaos synchronization using the estimates of parameters for both master and slave systems. Our adaptive synchronization schemes derived in this paper are established using Lyapunov stability theory. Since the Lyapunov exponents are not required for these calculations, the adaptive control method is very effective and convenient to achieve hybrid synchronization of identical and non-identical LS and Qi systems. Numerical simulations are shown to demonstrate the effectiveness of the proposed adaptive synchronization schemes for the identical and non-identical uncertain LS and Qi 4-D chaotic systems.

This paper investigates the hybrid chaos synchronization of identical 4-D hyperchaotic Liu systems (2006), 4-D identical hyperchaotic Chen systems (2005) and hybrid synchronization of 4-D hyperchaotic Liu and hyperchaotic Chen systems. The hyperchaotic Liu system (Wang and Liu, 2005) and hyperchaotic Chen system (Li, Tang and Chen, 2006) are important models of new hyperchaotic systems. Hybrid synchronization of the 4-dimensional hyperchaotic systems addressed in this paper is achieved through complete synchronization of two pairs of states and anti-synchronization of the other two pairs of states of the underlying systems. Active nonlinear control is the method used for the hybrid synchronization of identical and different hyperchaotic Liu and hyperchaotic Chen and the stability results have been established using Lyapunov stability theory. Since the Lyapunov exponents are not required for these calculations, the proposed nonlinear control method is effective and convenient to achieve hybrid synchronization of the hyperchaotic Liu and hyperchaotic Chen systems. Numerical simulations are shown to demonstrate the effectiveness of the proposed chaos synchronization schemes.

This paper investigates the hybrid synchronization of identical Pan systems (Pan, Xu and Zhou, 2010) by sliding mode control. In hybrid synchronization of chaotic systems, one part of the master and slave systems is completely synchronized, while the other part is anti-synchronized. The coexistence of complete and anti-synchronization enhances the security of the communication devices using chaotic systems. The stability results derived in this paper for the hybrid synchronization of identical Pan systems are established using Lyapunov stability theory. Since the Lyapunov exponents are not required for these calculations, the sliding mode control method is very effective and convenient to achieve hybrid synchronization of the identical Pan systems. Numerical simulations are shown to illustrate and validate the hybrid synchronization schemes derived in this paper for the identical Pan systems. ABSTRACT Position and speed control of the torpedo present a real problem for the actuators because of the high level of the system non linearity and because of the external disturbances. The non linear systems control is based on several different approaches, among it the sliding mode control. The sliding mode control has proved its effectiveness through the different studies. The advantage that makes such an important approach is its robustness versus the disturbances and the model uncertainties. However, this approach implies a disadvantage which is the chattering phenomenon caused by the discontinuous part of this control and which can have a harmful effect on the actuators. This paper deals with the basic concepts, mathematics, and design aspects of a control for nonlinear systems that make the chattering effect lower. As solution to this problem we will adopt as a starting point the high order sliding mode approaches then the PID sliding surface. Simulation results show that this control strategy can attain excellent control performance with no chattering problem. KEYWORDS

The synchronization of chaotic systems treats a pair of chaotic systems, which are usually called as master and slave systems. In the chaos synchronization problem, the goal of the design is to synchronize the states of master and slave systems asymptotically. In the hybrid synchronization design of master and slave systems, one part of the systems, viz. their odd states, are completely synchronized (CS), while the other part, viz. their even states, are completely anti-synchronized (AS) so that CS and AS co-exist in the process of synchronization. This research work deals with the hybrid synchronization of hyperchaotic Xi systems (2009) and hyperchaotic Li systems (2005). The main results of this hybrid research work are established with Lyapunov stability theory. MATLAB simulations of the hybrid synchronization results are shown for the hyperchaotic Xu and Li systems.

This paper investigates the hybrid chaos synchronization of identical 4-D hyperchaotic Liu systems(2006), 4-D identical hyperchaotic Chen systems (2005) and hybrid synchronization of 4-D hyperchaotic Liu and hyperchaotic Chen systems. The hyperchaotic Liu system (Wang and Liu, 2005) and hyperchaotic Chen system (Li, Tang and Chen, 2006) are important models of new hyperchaotic systems. Hybrid synchronization of the 4-dimensional hyperchaotic systems addressed in this paper is achieved through
complete synchronization of two pairs of states and anti-synchronization of the other two pairs of states
of the underlying systems. Active nonlinear control is the method used for the hybrid synchronization of identical and different hyperchaotic Liu and hyperchaotic Chen and the stability results have been established using Lyapunov stability theory. Since the Lyapunov exponents are not required for these calculations, the proposed nonlinear control method is effective and convenient to achieve hybrid
synchronization of the hyperchaotic Liu and hyperchaotic Chen systems. Numerical simulations are shown to demonstrate the effectiveness of the proposed chaos synchronization schemes.

This paper derives new results for the hybrid synchronization of identical hyperchaotic Liu systems (Liu,
Liu and Zhang, 2008) via sliding mode control. In hybrid synchronization of master and slave systems,
the odd states of the two systems are completely synchronized, while their even states are antisynchronized.
The stability results derived in this paper for the hybrid synchronization of identical
hyperchaotic Liu systems have been proved using Lyapunov stability theory. Since the Lyapunov
exponents are not required for these calculations, the sliding mode control method is very effective and
convenient to achieve anti- synchronization of the identical hyperchaotic Liu systems. Numerical
simulations are shown to illustrate and validate the hybrid synchronization schemes derived in this paper
for the identical hyperchaotic Liu systems.