scholarly journals A new method of adaptive tracking control for chaotic system

2009 ◽  
Vol 58 (11) ◽  
pp. 7532
Author(s):  
Luo Xiao-Hua ◽  
Li Hua-Qing ◽  
Chen Qiu-Hua
Keyword(s):  
Chaotic System ◽  
Tracking Control ◽  
New Method ◽  
Adaptive Tracking Control ◽  
Adaptive Tracking

scholarly journals Adaptive Control Design for Arneodo Chaotic System with Uncertain Parameters and Input Saturation

2020 ◽  
Vol 2020 ◽  
pp. 1-8
Author(s):  
Chunhua Cheng ◽  
Fengjuan Gao ◽  
Jingshuo Xu ◽  
Yuanxin Wang ◽  
Tao Yuan
Keyword(s):  
Chaotic System ◽  
Lyapunov Stability ◽  
Stability Theory ◽  
Tracking Control ◽  
Input Saturation ◽  
Lyapunov Stability Theory ◽  
Control Law ◽  
Uncertain Parameters ◽  
Adaptive Tracking Control ◽  
Adaptive Tracking

In this paper, tracking controller and synchronization controller of the Arneodo chaotic system with uncertain parameters and input saturation are considered. An adaptive tracking control law and an adaptive synchronization control law are proposed based on backstepping and Lyapunov stability theory. The adaptive laws of the unknown parameters are derived by using the Lyapunov stability theory. To handle the effect caused by the input saturation, an auxiliary system is used to compensate the tracking error and synchronization error. The proposed adaptive tracking control and synchronization schemes ensure the effects of tracking and synchronization. Several examples have been detailed to illuminate the design procedure.

scholarly journals An Adaptive Tracking Control of Fractional-Order Chaotic Systems with Uncertain System Parameter

2011 ◽  
Vol 2011 ◽  
pp. 1-11 ◽  
Author(s):  
Ping Zhou ◽  
Rui Ding
Keyword(s):  
Fractional Order ◽  
Chaotic System ◽  
Tracking Control ◽  
System Parameter ◽  
Chaotic Systems ◽  
Reference Signal ◽  
Uncertain System ◽  
Uncertain Parameter ◽  
Adaptive Tracking Control ◽  
Adaptive Tracking

An adaptive tracking control scheme is presented for fractional-order chaotic systems with uncertain parameter. It is theoretically proved that this approach can make the uncertain parameter fractional-order chaotic system track any given reference signal and the uncertain system parameter is estimated through the adaptive tracking control process. Furthermore, the reference signal may belong to other integer-orders chaotic system or belong to different fractional-order chaotic system with different fractional orders. Two examples are presented to demonstrate the effectiveness of the proposed method.

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