scholarly journals Synchronization of Liu chaotic system based on linear feedback control and its experimental verification

2006 ◽  
Vol 55 (10) ◽  
pp. 5055
Author(s):  
Wang Fa-Qiang ◽  
Liu Chong-Xin
Keyword(s):  
Feedback Control ◽  
Chaotic System ◽  
Experimental Verification ◽  
Linear Feedback ◽  
Linear Feedback Control

scholarly journals Linear Feedback Synchronization Used in the Three-Dimensional Duffing System

2015 ◽  
Vol 2015 ◽  
pp. 1-7
Author(s):  
Jian-qun Han ◽  
Xu-dong Shi ◽  
Hong Sun
Keyword(s):  
Feedback Control ◽  
Chaotic System ◽  
Control Method ◽  
Three Dimensional ◽  
Lyapunov Stability Theory ◽  
Linear Feedback ◽  
Nonlinear Feedback ◽  
Linear Feedback Control ◽  
Duffing System ◽  
Feedback Control Method

It has been realized that synchronization using linear feedback control method is efficient compared to nonlinear feedback control method due to the less computational complexity and the synchronization error. For the problem of feedback synchronization of Duffing chaotic system, in the paper, we firstly established three-dimensional Duffing system by method of variable decomposition and, then, studied the synchronization of Duffing chaotic system and designed the control law based on linear feedback control and Lyapunov stability theory. It is proved theoretically that the two identical integer order chaotic systems are synchronized analytically and numerically.

Non-linear feedback control of a novel chaotic system

2009 ◽  
Vol 7 (6) ◽  
pp. 939-944 ◽  
Author(s):  
Wuneng Zhou ◽  
Lin Pan ◽  
Zhong Li ◽  
Wolfgang A. Halang
Keyword(s):  
Feedback Control ◽  
Chaotic System ◽  
Linear Feedback ◽  
Linear Feedback Control ◽  
Non Linear

scholarly journals Controlling of jerk chaotic system via linear feedback control strategies

2020 ◽  
Vol 20 (1) ◽  
pp. 370 ◽  
Author(s):  
Karam Adel Abed
Keyword(s):  
Feedback Control ◽  
Numerical Solution ◽  
Chaotic System ◽  
Control Strategies ◽  
Linear Feedback ◽  
Linear Feedback Control ◽  
Jerk System

In this paper, the strategies of linear feedback control for jerk system is considered. These strategies consist  of four strategies (ordinary feedback control, dislocated feedback control,  speed feedback control, and  enhancing feedback control). We propose to  combine between these   strategies and obtained a better result  from this combine. Numerical solution achieved the same results.

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