This paper presents a simple analysis evaluating the stability threshold for magnetically levitated flexible structures using dissipative colocated controllers. It is shown that with such a control structure, the controller that stabilizes a rigid levitated mass can also stabilize a simple flexible structure with the same overall mass and electrodynamics. Experimental and simulation results are presented to validate this conclusion.
On the Influence of Structural Flexibility on Feedback Control Stability for Magnetically Suspended Vehicles
Alberts, T. E., Hanasoge, A. M., and Omran, A. M. (August 5, 2011). "On the Influence of Structural Flexibility on Feedback Control Stability for Magnetically Suspended Vehicles." ASME. J. Dyn. Sys., Meas., Control. September 2011; 133(5): 051010. https://doi.org/10.1115/1.4003802
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