scholarly journals Global synchronization criteria for a class of third-order non-autonomous chaotic systems via linear state error feedback control

2010 ◽  
Vol 34 (12) ◽  
pp. 4161-4170 ◽  
Author(s):  
Yun Chen ◽  
Xiaofeng Wu ◽  
Zhifang Gui
Keyword(s):  
Feedback Control ◽  
Chaotic Systems ◽  
Error Feedback ◽  
Third Order ◽  
Global Synchronization ◽  
Linear State ◽  
State Error

FREQUENCY-DOMAIN CRITERIA FOR GLOBAL SYNCHRONIZATION OF MULTISCROLL CHAOTIC SYSTEMS UNDER LINEAR FEEDBACK CONTROL

2010 ◽  
Vol 20 (07) ◽  
pp. 2165-2177 ◽  
Author(s):  
XIAOFENG WU ◽  
ZHIFANG GUI ◽  
GUANRONG CHEN
Keyword(s):  
Feedback Control ◽  
Frequency Domain ◽  
Chaotic Systems ◽  
Linear Feedback ◽  
Error Feedback ◽  
Linear Feedback Control ◽  
Global Synchronization ◽  
General Mathematical Model ◽  
Linear State ◽  
Absolute Stability Theory

This paper provides a unified approach for achieving and analyzing global synchronization of a class of master-slave coupled multiscroll chaotic systems under linear state-error feedback control. A general mathematical model for such a class of multiscroll chaotic systems is first established. Based on some special properties of such systems, two less-conservative frequency-domain criteria for the desirable global synchronization are rigorously proven by means of the absolute stability theory. The analysis is then applied to two master-slave coupled modified Chua's circuits, obtaining the corresponding simple and precise algebraic criteria for global synchronization, which are finally verified by numerical simulations.

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.

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