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《Journal of Vibration and Shock》 2011-09
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Sliding mode control of chaotic vibrations of spinning disks

CHEN Di-yi,SHEN Tao,MA Xiao-yi (North West A&F University,Shaanxi Yangling 712100,China)  
In order to eliminate lateral oscillations of spinning disks and dispel their adverse effect on the system performance or the working conditions of the system,the chaotic complex dynamic characteristics of the four-dimensional nonlinear equations of lateral oscillations of spinning disks were analysed,including the space trajectory,the Lyapunov exponent and the Poincare map.These characteristics indicate that the four-dimensional dynamical system contains chaotic attractor.For overcoming the shortcomings that the system can never be controlled to reach target orbit precisely in feedback control theory,the chaotic orbits of the spinning disks were stabilized to approach arbitrary chosen fixed points and periodic orbits by means of sliding mode method,and MATLAB simulations were presented to confirm the validity of the controller.The results show that using sliding mode method can control the chaotic orbits of the rotating disks to any fixed points and periodic orbits strictly.The control process can make the system track target orbit smoothly in short transition time,and provides reference to relevant chaos control in mechanical system.
【Fund】: 国家自然科学基金(50879072);; 校人才专项基金(RCZX-2009-01)资助项目
【CateGory Index】: TB535
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