Transverse electromagnetic control of high-speed maglev trains under stochastic excitations of crosswinds and track irregularities

For high-speed maglev trains, significant research has been dedicated to ensuring their vertical stability and the corresponding vertical electromagnetic control. Their transverse dynamics and stability also present formidable challenges. These challenges are particularly pronounced under the random track irregularities, which can be critically exacerbated by stochastic crosswinds. To address this problem, an optimized Proportional-Derivative (PD) control scheme, which refines the error signal associated with the derivative term, is proposed to enhance the lateral performance. A thorough stochastic dynamic analysis is performed to determine the requisite steady-state current. Furthermore, the influence of the electromagnetic control parameters on the transverse stochastic responses is systematically examined. The results demonstrate that the proposed electromagnetic control scheme effectively mitigates the transverse stochastic responses. The permissible operational range of the control parameters narrows considerably as the mean wind velocity increases, highlighting a critical constraint for the control design in high-wind conditions.