Analyses on the dynamical stability of the coupling control system for maglev vehicle travelling on a single-span flexible guideway

The theoretical model is presented to simulate the coupling dynamics of the maglev vehicle travelling on the single-span flexible guideway.The system model is described by the ordinary differential equations with periodically variable coefficients.Then the stability theory is concluded and the boundary of the stable region is searched out numerically by means of the dynamical bifurcation.Further studies are performed on the effects of the control parameters and the control regularities.Finally,the numerical examples are given out to show that the theoretical and numerical conclusions are efficient.