Hopf bifurcation of time-delayed feedback control for maglev system with flexible guideway

This paper considers flexible guideway system for maglev train with time-delayed velocity feedback control gain. Taking the time delay as a bifurcation parameter, the parameter condition that Hopf bifurcation occurs is deduced. The stability and direction of the bifurcation periodic solution are analyzed by applying the normal form theory and the center manifold theorem. Numerical simulation and experimental result demonstrate the complex behavior of maglev system and support the theoretical analysis.