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The magnetic levitation system of a high-speed Maglev train is simplified as a single mass system on a rigid guideway. The motion equations of the electromechanical components are derived with LAGRANGE-Function in state space notation. Because of the instability of the magnetic levitation system the vehicle must be actively controlled. The controller is designed by linear quadratic optimal control strategy. A state observer (KALMAN-Filter) is used to estimate the states which can not be measured or are influenced by noise. For the simulation of the control system the MATLAB/Simulink is used. Simulation results for the time histories of the magnet gap and the vertical acceleration are given for a gap initial condition.

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