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

Author

Lu, Jun-Guo ; Hill, David J.

Author_Institution

Dept. of Autom., Shanghai Jiao Tong Univ., Shanghai

Volume

55

Issue

6

fYear

2008

fDate

6/1/2008 12:00:00 AM

Firstpage

586

Lastpage

590

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.

Keywords

Chua´s circuit; chaos; linear matrix inequalities; synchronisation; chaotic Lur´e systems; free-weighting matrix approach; global asymptotical synchronization; linear matrix inequality approach; master-slave synchronization schemes; sampled-data feedback control; Chaos; Lur´e system; linear matrix inequality (LMI); sampled-data control; synchronization;

fLanguage

English

Journal_Title

Circuits and Systems II: Express Briefs, IEEE Transactions on

Publisher

ieee

ISSN

1549-7747

Type

jour

DOI

10.1109/TCSII.2007.916788

Filename

4472698