Open AccessEstimation of unknown parameters and adaptive anti-synchronization of quadratic autonomous chaos systems via a scale controller
Author(s) -
Di Liu,
Wei Xu,
Peirong Guo,
Fei Ni
Publication year - 2010
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.59.5934
Subject(s) - control theory (sociology) , synchronization (alternating current) , quadratic equation , computer science , scalar (mathematics) , controller (irrigation) , simple (philosophy) , adaptive control , chaos (operating system) , lyapunov stability , stability (learning theory) , synchronization of chaos , lyapunov function , mathematics , control (management) , physics , nonlinear system , artificial intelligence , computer network , channel (broadcasting) , philosophy , geometry , computer security , epistemology , quantum mechanics , machine learning , agronomy , biology
Based on Lyapunov stability theory,a simple adaptive scalar controller was designed to realize the anti-synchronization of 3-D quadratic autonomous systems with known or unknown parameters. Furthermore,all the unknown parameters can be estimated dynamically from the time series of the drive and response systems. Numerical simulations show the effectiveness and feasibility of the proposed method.