Open AccessParameter identification based on linear feedback control for uncertain chaotic system
Author(s) -
Li g,
Jianfen Li,
Yuping Liu,
Jian Ma
Publication year - 2008
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.57.1404
Subject(s) - control theory (sociology) , synchronization (alternating current) , lyapunov stability , computer science , adaptive control , stability theory , lorenz system , identification (biology) , chaotic , chaotic systems , lyapunov function , scheme (mathematics) , chaos (operating system) , stability (learning theory) , control (management) , mathematics , nonlinear system , physics , mathematical analysis , botany , computer security , quantum mechanics , artificial intelligence , machine learning , computer network , channel (broadcasting) , biology
An adaptive control method is proposed for the synchronization of chaos systems with uncertain parameters. Based on the Lyapunov stability theory, an adaptive control law of parameters is derived to make the states of the drive system and the response system asymptotically synchronized, by which the uncertain parameters of response system are identified. To demonstrate the effectiveness of the proposed scheme, numerical simulations results are given for the Lorenz system and Chua’s circuit.