Decoupling Levitation Control of PEMS High Speed Maglev Train based on Feedback Linearization

Effect of the passive damping plate on the vertical stability of permanent magnet electrodynamic suspension system

“…As the levitation force is the function of the air gap and vertical velocity, set the rated air gap y 0 = g 0 and rated vertical velocity ẏ 0 = 0, the linearisation result of formula ( 19) is expressed as follows [27,28]:…”

“…As the levitation force is the function of the air gap and vertical velocity, set the rated air gap y 0 = g 0 and rated vertical velocity ẏ 0 = 0, the linearisation result of formula () is expressed as follows [27, 28]: $$${F}_{y}={F}_{0}-{k}_{y}{\Delta }y-{k}_{v}{\Delta }\dot{y}$$$ where F 0 is the levitation force at the rated levitation position, and $$$\left\{\begin{array}{@{}l@{}}{k}_{y}=-\frac{\partial {F}_{y}}{\partial y}\\ {k}_{v}=-\frac{\partial {F}_{y}}{\partial \dot{y}}\end{array}\right.$$$ When the vertical upward direction is taken as the reference positive direction, the dynamic equation of the system can be obtained as follows [29]: $$$m{\Delta }\ddot{y}=-{k}_{y}{\Delta }y-{k}_{v}{\Delta }\dot{y}-{F}_{d}$$$ where F d is the external disturbance force and m is the vehicle mass.…”