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.

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.

scholarly journals Synchronization of Chaotic Fractional-Order WINDMI Systems via Linear State Error Feedback Control

2010 ◽  
Vol 2010 ◽  
pp. 1-10 ◽  
Author(s):  
Baogui Xin ◽  
Tong Chen ◽  
Yanqin Liu
Keyword(s):  
Feedback Control ◽  
Fractional Order ◽  
Chaos Synchronization ◽  
Control Technique ◽  
Order System ◽  
Error Feedback ◽  
Linear State ◽  
The Stability ◽  
Synchronization Scheme ◽  
State Error

We propose a fractional-order WINDMI system, as a generalization of an integer-order system developed by Sprott (2003). The considered synchronization scheme consists of identical master and slave fractional-order WINDMI systems coupled by linear state error variables. Based on the stability theory of nonlinear fractional-order systems, linear state error feedback control technique is applied to achieve chaos synchronization, and a linear control law is derived analytically to achieve synchronization of the chaotic fractional-order WINDMI system. Numerical simulations validate the main results of this work.

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