Dynamics of a Magnetically Levitated Table with Hybrid Magnets.

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  • Chang Shun-Chang
    Department of Vehicle Engineering and Technology, Da-Yeh University, 112 Shan-Jiau Rd., Da-Tsuen, Chang-Hwa, Taiwan 51505, R.O.C.

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In this paper, the detailed dynamic behaviors of a magnetic levitation vibration isolation table with hybrid magnetic actuators that integrate permanent magnets with controllable electromagnets are analyzed. The results reveal that, due to the realistic nonlinear characteristics of magnetic forces, the system exhibits codimension-two bifurcation in which a limit cycle and a pitchfork bifurcation are created. With special note of how feedback gains affect the behaviors of this magnetic levitation vibration isolation table, the regions of feedback gains suitable for stability are obtained. From the results of the analysis, it is evident that, due to the nonlinearity of magnetic forces, the feedback gains must be carefully selected to ensure the stability of this nonlinear system.

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