Open AccessSynchronization of new Lü chaotic system via three methods
Author(s) -
Xingyuan Wang,
Quanxin Zhu,
Xiaopeng Zhang
Publication year - 2011
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.60.100510
Subject(s) - synchronization (alternating current) , backstepping , control theory (sociology) , computer science , controller (irrigation) , lyapunov stability , synchronization of chaos , state observer , observer (physics) , chaotic systems , chaotic , state (computer science) , stability (learning theory) , adaptive control , control (management) , nonlinear system , algorithm , physics , artificial intelligence , quantum mechanics , agronomy , biology , computer network , channel (broadcasting) , machine learning
In this paper we study the chaos synchronization of a new Lü chaotic system containing constants via three methods, i.e., state observer, active control method, and backstepping method. Based on the above three methods, the we design an adaptive controller according to the Lyapunov stability theory which proves that the controller can well realize the asymptotical synchronization between two identical systems. Through numerical simulation, we further verify the effectiveness and the advantage of the above three synchronization methods. The synchronization method based on state observer is believed to be more flexible and efficient through the comparative analysis of three kinds of synchronization methods.