Singular reduced-order observer-based synchronization for uncertain chaotic systems subject to channel disturbance and chaos-based secure communication

This paper considers observer-based chaos synchronization and chaos-based secure communication problems for a class of uncertain chaotic systems with both parameter uncertainties and channel noise. First, by introducing an augmented vector, the original system is transformed into a new system which has no channel noise. Second, based on the concept of relative degree, an auxiliary drive signal vector is constructed so that the observer matching condition is satisfied. Third, a reduced-order observer is designed to estimate the states of the new augmented system. Then, a high-order high-gain sliding mode observer is considered to estimate the auxiliary drive signals and their derivatives exactly in a finite time. After this, the combination of the reduced-order observer and the high-order high-gain sliding mode observer is used as the receiver in the secure communication mechanism. And a kind of secure information recovery method is developed. Finally, a four-dimensional hyperchaos system is used as the simulation example to illustrate the effectiveness of the proposed methods.

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OBSERVER-BASED SYNCHRONIZATION OF UNCERTAIN CHAOTIC SYSTEMS: COMPARISON BETWEEN REDUCED-ORDER AND FULL-ORDER OBSERVERS

International Journal of Bifurcation and Chaos ◽

10.1142/s0218127408022299 ◽

2008 ◽

Vol 18 (10) ◽

pp. 3129-3136 ◽

Cited By ~ 3

Author(s):

FANG-LAI ZHU ◽

MAO-YIN CHEN

Keyword(s):

Chaotic Systems ◽

Drive System ◽

Reduced Order ◽

Response System ◽

System A ◽

Unknown Disturbances ◽

Reduced Order Observer ◽

Uncertain Chaotic Systems ◽

Robust Adaptive ◽

Better Than

Within the drive-response configuration, this paper considers the synchronization of uncertain chaotic systems based on observers. Even if there are unknown disturbances and parameters in the drive system, a robust adaptive full-order observer can be used to realize chaos synchronization. Further, we develop a reduced-order observer-based response system to synchronize the drive system. By choosing a special reduced-order gain matrix, the reduced-order observer-based response system turns out to be linear and can eliminate the influence of the unknown disturbances and parameters directly. We also discuss the above mentioned two kinds of observers in numerical simulation, and demonstrate that the linear reduced-order observer-based response system is better than the full-order observer-based one.

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Study on Discreted Fifth-Order CNN Hyper-Chaos Synchronization Reduced Order Observer

Applied Mechanics and Materials ◽

10.4028/www.scientific.net/amm.135-136.960 ◽

2011 ◽

Vol 135-136 ◽

pp. 960-963

Author(s):

Jie Xu ◽

Juan Chang ◽

Lian Zhang ◽

Yong Sun

Keyword(s):

Neural Networks ◽

Continuous Time ◽

Secure Communication ◽

Chaos Synchronization ◽

State Observer ◽

Cellular Neural Networks ◽

Reduced Order ◽

Reduced Order Observer ◽

Fifth Order ◽

Order State

Secure communication with the hyper-chaos synchronization approach is the popular investigation. In this paper the fifth-order Cellular Neural Networks(CNN) hyper-chaos equation of continuous time was discreted. The innovation was that the synchronization of the hyper-chaos system was realized with the discreted reduced order state observer. Finally, the system stabilizing to zero after fugacious transition and achieving synchronization were validated by simulations, which showed the algorithm’s availability.

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