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《Journal of Chongqing University of Technology(Natural Science)》 2013-01
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Using Nonlinear Feedback Control for the Vibration of a Nonlinear Vibration System

ZHANG Wen-juan,YU Jian-ning,ZHANG Jian-gang,YANG Liu-meng(College of Physics and Software Engineering,Lanzhou Jiaotong University,Lanzhou 730070,China)  
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.
【Fund】: 甘肃省自然科学基金资助项目(1010RJZA066;1010RJZA067)
【CateGory Index】: O322
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