Open AccessAdaptive tracking control of the Chen system
Author(s) -
Long Chen,
Wang De-shi
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.56.5661
Subject(s) - chen , control theory (sociology) , computer science , controller (irrigation) , nonlinear system , tracking (education) , chaotic , adaptive control , lyapunov function , identification (biology) , control (management) , artificial intelligence , physics , agronomy , biology , psychology , paleontology , pedagogy , botany , quantum mechanics
The tracking control of chaotic Chen system is realized using a nonlinear single-input controller. According to the structure characteristic of the Chen system, proper feedback form is selected and an adaptive single-input controller is designed, which makes the Chen system track a certain variable of the Rossler system with unknown parameters. The Lyapunov direct method is applied to prove that the error signal asymptotically approaches zero. Numerical simulations show that the proposed control method is feasible, and the identification of unknown parameters can be realized.