Bifurcation control for maglev system with two state feedback delays

Time delay is a kind of common nonlinearity, which is consisted in many parts of suspension system of high speed maglev train.In this paper, the dynamic behavior of suspension system of maglev train with time-delayed velocity and acceleration feedback signal is considered with rigid guideway. Taking time delay as its bifurcation parameter, the condition with which the Hopf bifurcation may occur is investigated. Centre manifold reduction is applied to get the Poincare normal form of the nonlinear system so that we can study the relationship between periodic solution and system parameter. Simulation verifies that time delays can change the current complicated dynamic behavior.