scholarly journals Projective Synchronization of Chaotic Discrete Dynamical Systems via Linear State Error Feedback Control

Entropy ◽  
2015 ◽  
Vol 17 (5) ◽  
pp. 2677-2687 ◽  
Author(s):  
Baogui Xin ◽  
Zhiheng Wu
Keyword(s):  
Dynamical Systems ◽  
Feedback Control ◽  
Discrete Dynamical Systems ◽  
Projective Synchronization ◽  
Error Feedback ◽  
Linear State ◽  
State Error

Master-Slave Global Synchronization for Froude Pendulums via Linear State Error Feedback Control

2013 ◽  
Vol 275-277 ◽  
pp. 2565-2569
Author(s):  
Lin Xu ◽  
Zhong Liu ◽  
Yun Chen
Keyword(s):  
Feedback Control ◽  
Chaos Synchronization ◽  
Linear Feedback ◽  
Error Feedback ◽  
Linear Feedback Control ◽  
Global Synchronization ◽  
Numerical Example ◽  
Linear State ◽  
Synchronization Scheme ◽  
State Error

This paper deals with the global chaos synchronization of master-slave Froude pendulums coupled by linear state error feedback control. A master-slave synchronization scheme of the Froude pendulums under linear feedback control is presented. Based on this scheme, some sufficient criteria for global synchronization are proved and optimized. A numerical example is provided to demonstrate the effectiveness of the criteria obtained.

FREQUENCY DOMAIN CRITERION FOR CHAOS SYNCHRONIZATION OF LUR'E SYSTEMS VIA LINEAR STATE ERROR FEEDBACK CONTROL

2005 ◽  
Vol 15 (04) ◽  
pp. 1445-1454 ◽  
Author(s):  
XIAOFENG WU ◽  
YI ZHAO
Keyword(s):  
Feedback Control ◽  
Frequency Domain ◽  
Chaos Synchronization ◽  
Error Feedback ◽  
Lur’E Systems ◽  
Lur’E System ◽  
Linear State ◽  
State Error

Some frequency domain criteria for chaos synchronization of Lur'e system by linear state error feedback control are proposed and applied to design the controller that synchronizes the master-slave Chua's circuits coupled by linear state error feedback. A simple synchronization controller is obtained.

scholarly journals Projective Synchronization ofN-Dimensional Chaotic Fractional-Order Systems via Linear State Error Feedback Control

2012 ◽  
Vol 2012 ◽  
pp. 1-10 ◽  
Author(s):  
Baogui Xin ◽  
Tong Chen
Keyword(s):  
Feedback Control ◽  
Fractional Order ◽  
Projective Synchronization ◽  
Control Technique ◽  
Linear Feedback ◽  
Fractional Order Systems ◽  
Financial Systems ◽  
Linear State ◽  
Synchronization Scheme ◽  
State Error

Based on linear feedback control technique, a projective synchronization scheme ofN-dimensional chaotic fractional-order systems is proposed, which consists of master and slave fractional-order financial systems coupled by linear state error variables. It is shown that the slave system can be projectively synchronized with the master system constructed by state transformation. Based on the stability theory of linear fractional order systems, a suitable controller for achieving synchronization is designed. The given scheme is applied to achieve projective synchronization of chaotic fractional-order financial systems. Numerical simulations are given to verify the effectiveness of the proposed projective synchronization scheme.

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