Open AccessHyperchaos synchronization and control using intermittent feedback
Author(s) -
Jun Ma,
Gaohua Liao,
Mo Xiao-Hua,
Wei-Xue Li,
Zhang Ping-wei
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.54.5585
Subject(s) - control theory (sociology) , synchronization (alternating current) , controller (irrigation) , computer science , scheme (mathematics) , transient (computer programming) , feedback controller , intermittent control , computer simulation , feedback control , control (management) , period (music) , stability (learning theory) , mathematics , simulation , control engineering , physics , mathematical analysis , telecommunications , artificial intelligence , channel (broadcasting) , machine learning , acoustics , agronomy , biology , engineering , operating system
Based on the stability theory,intermittent feedback scheme is proposed to synchronize and control the four-dimensional continuous hyperchaotic Rssler and LC systems. The systems are directed to reach arbitrary desired target within about 8 to 35 time units and realize complete synchronization within about 15 to 50 time units under this scheme by selecting right autonomous period Ta, controlling period Ts and gain coefficient k.The advantage of this scheme is that the controller is designed analytically in detail,not only relying on the common numerical simulation.The controller works only on certain period and the system develops freely in other periods. The numerical simulation results confirmed its effectiveness and gave evidence that shorter transient period before reaching desired target requires bigger feedback coefficient k,and it is consistent with the theoretical analysis.