Open AccessAnti-synchronizing different chaotic systems using active sliding mode control
Author(s) -
Fucai Liu,
Song Jia-Qiu
Publication year - 2008
Publication title -
wuli xuebao
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.199
H-Index - 47
ISSN - 1000-3290
DOI - 10.7498/aps.57.4729
Subject(s) - synchronizing , control theory (sociology) , synchronization (alternating current) , lyapunov stability , computer science , controller (irrigation) , chaotic systems , chaotic , sliding mode control , stability (learning theory) , chen , lorenz system , mode (computer interface) , control (management) , nonlinear system , physics , telecommunications , computer network , channel (broadcasting) , paleontology , transmission (telecommunications) , artificial intelligence , quantum mechanics , machine learning , agronomy , biology , operating system
An active sliding mode control is designed to anti-synchronize different chaotic systems. The closed loop error dynamics depends on the linear part of the response systems and parameters of the controller. Therefore, the anti-synchronization rate can be adjusted through these parameters. Analysis of the stability for the proposed method is done based on the Lyapunov stability theorem. Finally, numerical results are presented for the Lorenz, Chen and Lü systems. This method may realize the anti-synchronization quickly, and the robust stability is good.