Open AccessObserver synchronization method for a class of perturbed chaotic systems with unknown parameters
Author(s) -
Xiuchun Li,
Jianhua Gu,
Yunlan Wang,
Tianhai Zhao
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.60.030505
Subject(s) - lemma (botany) , synchronization of chaos , control theory (sociology) , chaotic systems , synchronization (alternating current) , chaotic , observer (physics) , lyapunov stability , computer science , class (philosophy) , chaos (operating system) , stability (learning theory) , lyapunov function , physics , nonlinear system , artificial intelligence , control (management) , ecology , poaceae , computer security , quantum mechanics , machine learning , biology , computer network , channel (broadcasting)
Combining the observer and adaptive method, chaos synchronization is realized for a class of the perturbed chaotic systems with unknown parameters. Lyapunov stability theory and Barbalat lemma are adopted to design observer for achieving chaos synchronization. This method has fewer constraints and can be applied to many chaotic systems. Numerical simulations of representative chaotic systems further verify the validity of the proposed method.