Open AccessTracking control and synchronization of the R?ssler's chaotic system
Author(s) -
Xingyuan Wang,
Shi Qi-Jiang
Publication year - 2005
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.54.5591
Subject(s) - computer science , synchronization (alternating current) , chaotic , tracking (education) , control theory (sociology) , trace (psycholinguistics) , stability (learning theory) , exponential function , exponential stability , orbit (dynamics) , control (management) , nonlinear system , physics , mathematics , artificial intelligence , telecommunications , psychology , pedagogy , channel (broadcasting) , linguistics , philosophy , quantum mechanics , machine learning , mathematical analysis , engineering , aerospace engineering
This paper presents a strategy of the Rssler's chaotic system tracking control based on the theory of stability of the linear system. This strategy can track all kinds of reference signals. It is also proved that the strategy can make the system approach to any desired smooth orbit at an exponential rate. Numerical simulations have shown the proposed strategy can not only trace the given reference signals, but also synchronize structures, including self structures and diverse ones.