Open AccessDynamical analysis of a new chaotic system and its chaotic control
Author(s) -
Guoliang Cai,
Zhouliang Tan,
Wei Zhou,
Tu Wen-Tao
Publication year - 2007
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.56.6230
Subject(s) - chaotic , backstepping , computer science , chaotic systems , control theory (sociology) , statistical physics , lyapunov stability , stability (learning theory) , synchronization of chaos , lyapunov function , computer simulation , physics , control (management) , adaptive control , nonlinear system , simulation , artificial intelligence , quantum mechanics , machine learning
In this paper a new chaotic system is presented. Some of its basic dynamical properties are studied. An electronic circuit is designed to realize the new chaotic system. Experimental chaotic behavior of the system is found to be identical to the dynamical properties predicted by theoretical analysis and numerical simulations. Based on Lyapunov stability theory, the new chaotic system is controlled by the method of adaptive backstepping. Numerical simulation shows the feasibility and effectiveness of this approach.