重庆理工大学学报（自然科学版）2013，Vol.27Issue(1)：27-31,5.DOI:10.3969/j.issn.1674-8425(z).2013.01.006
利用非线性反馈控制一类振动系统的振动
Using Nonlinear Feedback Control for the Vibration of a Nonlinear Vibration System
摘要
Abstract
The complex dynamic behavior of the autoparametric system with an attached damped pendulum is studied. The dynamical equation of the system is established using Lagrangian and Newton's second law. The chaotic behavior of the system is analyzed by means of Lyapunov exponent spectrum and the bifurcation diagrams. Nonlinear feedback control method is used to control the chaotic motion state of this vibration system, and then Matlab numerical simulation can prove that nonlinear feedback control method can realize the control of chaotic system, and the method is effective as well.关键词
振动系统/非线性反馈控制/分岔图/Lyapunov指数谱Key words
vibration system/ nonlinear feedback control/ bifurcation diagram/ Lyapunov exponent spectrum分类
数理科学引用本文复制引用
张文娟,俞建宁,张建刚,杨留猛..利用非线性反馈控制一类振动系统的振动[J].重庆理工大学学报（自然科学版）,2013,27(1):27-31,5.基金项目
甘肃省自然科学基金资助项目(1010RJZA066 （）
1010RJZA067) （）
