Adaptive Synchronization of a Unified Chaotic System with an Uncertain Parameter

2005 ◽  
Vol 6 (2) ◽  
Author(s):  
Ju H. Park
Keyword(s):  
Chaotic System ◽  
Uncertain Parameter ◽  
Adaptive Synchronization ◽  
Unified Chaotic System

Single state feedback stabilization of unified chaotic systems and circuit implementation

Open Physics ◽  
2014 ◽  
Vol 13 (1) ◽  
Author(s):  
Chun-Guo Jing ◽  
Ping He ◽  
Tao Fan ◽  
Yangmin Li ◽  
Changzhong Chen ◽  
...  
Keyword(s):  
Chaotic System ◽  
State Feedback ◽  
Chaotic Systems ◽  
Feedback Stabilization ◽  
State Feedback Control ◽  
Uncertain Parameter ◽  
Circuit Implementation ◽  
Unified Chaotic System ◽  
Unified Chaotic Systems ◽  
Single State

AbstractThis paper focuses on the single state feedback stabilization problem of unified chaotic system and circuit implementation. Some stabilization conditions will be derived via the single state feedback control scheme. The robust performance of controlled unified chaotic systems with uncertain parameter will be investigated based on maximum and minimum analysis of uncertain parameter, the robust controller which only requires information of a state of the system is proposed and the controller is linear. Both the unified chaotic system and the designed controller are synthesized and implemented by an analog electronic circuit which is simpler because only three variable resistors are required to be adjusted. The numerical simulation and control in MATLAB/Simulink is then provided to show the effectiveness and feasibility of the proposed method which is robust against some uncertainties. The results presented in this paper improve and generalize the corresponding results of recent works.

scholarly journals Adaptive synchronization of the fractional-order unified chaotic system

2009 ◽  
Vol 58 (9) ◽  
pp. 6039
Author(s):  
Zhang Ruo-Xun ◽  
Yang Yang ◽  
Yang Shi-Ping
Keyword(s):  
Fractional Order ◽  
Chaotic System ◽  
Adaptive Synchronization ◽  
Unified Chaotic System

Chaos Synchronization Between Unified Chaotic System And Rossler System

2013 ◽  
Vol 321-324 ◽  
pp. 2464-2470
Author(s):  
Hao Wu ◽  
Bo Lun Xu ◽  
Chang Fan ◽  
Xian Yong Wu
Keyword(s):  
Active Control ◽  
Chaotic System ◽  
Chaos Synchronization ◽  
Adaptive Synchronization ◽  
System Parameters ◽  
Unified Chaotic System ◽  
Rossler System ◽  
Response Systems ◽  
Rössler System ◽  
Different Chaotic Systems

In this paper, two synchronization schemes between two different chaotic systems are proposed. Chaos synchronization between unified chaotic system and Rossler system via active control and adaptive control are investigated. Different controllers are designed to synchronize the drive and response systems. Active control synchronization is used when system parameters are known; adaptive synchronization is employed when system parameters are unknown or uncertain. Simulation results show the effectiveness of the proposed schemes.

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