Robust adaptive control of nonlinear systems with unknown time delays

Automatica ◽  
2005 ◽  
Vol 41 (7) ◽  
pp. 1181-1190 ◽  
Author(s):  
S.S. Ge ◽  
F. Hong ◽  
T.H. Lee
Keyword(s):  
Adaptive Control ◽  
Nonlinear Systems ◽  
Time Delays ◽  
Robust Adaptive Control ◽  
Robust Adaptive ◽  
Unknown Time Delays

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.

scholarly journals Robust Adaptive Control of MIMO Pure-Feedback Nonlinear Systems via Improved Dynamic Surface Control Technique

IEEE Access ◽  
2019 ◽  
Vol 7 ◽  
pp. 96672-96685 ◽  
Author(s):  
Yang Zhou ◽  
Wenhan Dong ◽  
Shuangyu Dong ◽  
Yong Chen ◽  
Renwei Zuo ◽  
...  
Keyword(s):  
Adaptive Control ◽  
Nonlinear Systems ◽  
Dynamic Surface Control ◽  
Robust Adaptive Control ◽  
Control Technique ◽  
Dynamic Surface ◽  
Surface Control ◽  
Robust Adaptive
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