Open AccessSaddle-node bifurcation control of a spring pendulum with single-frequency excitation
Author(s) -
Han Xiao,
Jinlu Tang,
Liang Cui-Xiang
Publication year - 2009
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.58.2989
Subject(s) - control theory (sociology) , pendulum , double pendulum , bifurcation , nonlinear system , amplitude , spring (device) , node (physics) , saddle node bifurcation , multiple scale analysis , physics , inverted pendulum , mathematics , computer science , control (management) , acoustics , quantum mechanics , artificial intelligence , thermodynamics
Spring pendulum under single-frequency excitation can be described by a group of very complicated nonlinear equations. The paper studies the amplitude of the spring pendulum, and feedback controllers are designed. Analytic method is used to obtain the control equation of amplitude, the relationship function between control parameter and amplitude is also abtained,which may act as an implementation of feedback control method for saddle-node bifurcation control, and also brings multi-scale method to numerical calculation of multiple-degree-of-freedom nonlinear systems.