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Based on the Floquet theory on ordinary differential equations with periodically variablecoefficients and the bifurcation approach to nonlinear equations,a numerical approach to determiningthe stability region of control parameters is established for a dynamic control system composed of amoving body levitated magnetically over flexible guideways.The system is nonlinearly coupled amongthe elastic deformation of guideways,disturbance the levitation position of the body and electromagnetic control forces.The numerical simulation is given for the system in the case in which the control parameters are taken within and out of the stability region respectively.Results show that this approach isreliable.
Based on the Floquet theory on ordinary differential equations withround variablecoefficients and the bifurcation approach to nonlinear equations, a numerical approach to determining the stability region of control parameters is established for a dynamic control system composed of amoving body levitated magnetically over flexible guideways.The system is nonlinearly coupled among the elastic deformation of guideways, disturbance the levitation position of the body and electromagnetic control forces. The numerical simulation is given for the system in the case in which the control parameters are taken within and out of the stability region respectively. Results show that this approach isreliable