Adaptive synchronization and parameter identification of chaotic system with unknown parameters and multiple time-varying delays based on a special matrix structure

2014 ◽  
Author(s):  
Ling-Dong Zhao ◽  
Jian-Bing Hu
Keyword(s):  
Parameter Identification ◽  
Chaotic System ◽  
Adaptive Synchronization ◽  
Multiple Time ◽  
Time Varying ◽  
Matrix Structure ◽  
Unknown Parameters ◽  
Special Matrix

scholarly journals Adaptive synchronization of a class of fractional order chaotic system with uncertain parameters

2015 ◽  
Vol 11 (6) ◽  
pp. 5306-5316
Author(s):  
De-fu Kong
Keyword(s):  
Parameter Identification ◽  
Numerical Simulations ◽  
Fractional Order ◽  
Chaotic System ◽  
Stability Criterion ◽  
Local Stability ◽  
Adaptive Synchronization ◽  
Uncertain Parameters ◽  
Unknown Parameters ◽  
Control Scheme

In this manuscript, the adaptive synchronization of a class of fractional order chaotic system with uncertain parameters is studied. Firstly, the local stability of the fractional order chaotic system is analyzed using fractional stability criterion. Then, based on the J function criterion, suitable adaptive synchronization controller and parameter identification rules of the unknown parameters are investigated. Finally, the numerical simulations are presented to verify the effectiveness and robustness of the proposed control scheme.

Adaptive synchronization for Chen chaotic system with fully unknown parameters

2004 ◽  
Vol 19 (4) ◽  
pp. 899-903 ◽  
Author(s):  
Yanwu Wang ◽  
Zhi-Hong Guan ◽  
Xiaojiang Wen
Keyword(s):  
Chaotic System ◽  
Adaptive Synchronization ◽  
Unknown Parameters

scholarly journals Parameter Identification and Synchronization of Uncertain Chaotic Systems Based on Sliding Mode Observer

2013 ◽  
Vol 2013 ◽  
pp. 1-5
Author(s):  
Li-lian Huang ◽  
Lei Lin
Keyword(s):  
Parameter Identification ◽  
Chaotic System ◽  
Chaotic Systems ◽  
Sliding Mode ◽  
Lyapunov Stability Theory ◽  
Sliding Surface ◽  
Unknown Parameters ◽  
External Disturbances ◽  
Uncertain Chaotic Systems ◽  
Simulation Results

The synchronization of nonlinear uncertain chaotic systems is investigated. We propose a sliding mode state observer scheme which combines the sliding mode control with observer theory and apply it into the uncertain chaotic system with unknown parameters and bounded interference. Based on Lyapunov stability theory, the constraints of synchronization and proof are given. This method not only can realize the synchronization of chaotic systems, but also identify the unknown parameters and obtain the correct parameter estimation. Otherwise, the synchronization of chaotic systems with unknown parameters and bounded external disturbances is robust by the design of the sliding surface. Finally, numerical simulations on Liu chaotic system with unknown parameters and disturbances are carried out. Simulation results show that this synchronization and parameter identification has been totally achieved and the effectiveness is verified very well.

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