Article

Global Asymptotical Synchronization of Chaotic Lur'e Systems Using Sampled Data: A Linear Matrix Inequality Approach

Dept. of Autom., Shanghai Jiao Tong Univ., Shanghai
Circuits and Systems II: Express Briefs, IEEE Transactions on (impact factor: 1.41). 07/2008; DOI:10.1109/TCSII.2007.916788
Source: IEEE Xplore

ABSTRACT Sampled-data feedback control for master-slave synchronization schemes that consist of identical chaotic Lur'e systems is studied. Sufficient conditions for global asymptotic synchronization of such chaotic Lur'e systems are obtained using the free-weighting matrix approach and expressed in terms of linear matrix inequalities (LMIs). With the help of the LMI solvers, the sampled-data feedback control law can easily be obtained to globally asymptotically synchronize Lur'e chaotic systems. The effectiveness of the proposed method is finally illustrated via numerical simulations of chaotic Chua's circuits.

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Keywords

chaotic Lur'e systems
 
free-weighting matrix approach
 
global asymptotic synchronization
 
globally asymptotically synchronize Lur'e chaotic systems
 
identical chaotic Lur'e systems
 
LMI solvers
 
LMIs
 
master-slave synchronization schemes
 
numerical simulations
 
Sampled-data feedback control
 
sampled-data feedback control law
 
Sufficient conditions
 

Jun Guo Lu