Robust adaptive backstepping synchronization for a class of uncertain chaotic systems using fuzzy disturbance observer

2012 ◽  
Vol 69 (3) ◽  
pp. 1125-1136 ◽  
Author(s):  
D. H. Ji ◽  
S. C. Jeong ◽  
Ju H. Park ◽  
S. C. Won
Keyword(s):  
Disturbance Observer ◽  
Chaotic Systems ◽  
Adaptive Backstepping ◽  
Uncertain Chaotic Systems ◽  
Robust Adaptive ◽  
Fuzzy Disturbance Observer

ADAPTIVE OBSERVER BASED SYNCHRONIZATION OF A CLASS OF UNCERTAIN CHAOTIC SYSTEMS

2008 ◽  
Vol 18 (08) ◽  
pp. 2425-2435 ◽  
Author(s):  
SAMUEL BOWONG ◽  
RENÉ YAMAPI
Keyword(s):  
Chaotic Systems ◽  
Lyapunov Stability Theory ◽  
Adaptive Observer ◽  
Adaptive Synchronization ◽  
External Disturbances ◽  
Parameter Mismatch ◽  
Lipschitz Constants ◽  
Response Systems ◽  
Uncertain Chaotic Systems ◽  
Robust Adaptive

This study addresses the adaptive synchronization of a class of uncertain chaotic systems in the drive-response framework. For a class of uncertain chaotic systems with parameter mismatch and external disturbances, a robust adaptive observer based on the response system is constructed to practically synchronize the uncertain drive chaotic system. Lyapunov stability theory ensures the practical synchronization between the drive and response systems even if Lipschitz constants on function matrices and bounds on uncertainties are unknown. Numerical simulation of two illustrative examples are given to verify the effectiveness of the proposed method.

scholarly journals Robust Adaptive Synchronization of a Class of Uncertain Chaotic Systems with Unknown Time-Delay

2020 ◽  
Vol 10 (24) ◽  
pp. 8875 ◽  
Author(s):  
Assef Zare ◽  
Seyede Zeynab Mirrezapour ◽  
Majid Hallaji ◽  
Afshin Shoeibi ◽  
Mahboobeh Jafari ◽  
...  
Keyword(s):  
Adaptive Control ◽  
Time Delays ◽  
Chaotic Systems ◽  
Control Mechanism ◽  
Robust Adaptive Control ◽  
Robust Synchronization ◽  
Uncertain Chaotic Systems ◽  
Adaptation Rules ◽  
Robust Adaptive ◽  
Unknown Time Delays

In this paper, a robust adaptive control strategy is proposed to synchronize a class of uncertain chaotic systems with unknown time delays. Using Lyapunov theory and Lipschitz conditions in chaotic systems, the necessary adaptation rules for estimating uncertain parameters and unknown time delays are determined. Based on the proposed adaptation rules, an adaptive controller is recommended for the robust synchronization of the aforementioned uncertain systems that prove the robust stability of the proposed control mechanism utilizing the Lyapunov theorem. Finally, to evaluate the proposed robust and adaptive control mechanism, the synchronization of two Jerk chaotic systems with finite non-linear uncertainty and external disturbances as well as unknown fixed and variable time delays are simulated. The simulation results confirm the ability of the proposed control mechanism in robust synchronization of the uncertain chaotic systems as well as to estimate uncertain and unknown parameters.

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