This paper describes the dynamics of the propulsion and levitation systems in the Maglev vehicle M-Bahn for low-speed urban transportation in which a controlled permanent-magnet-(PM) linear synchronous motor (LSM) is used and controlled for its propulsion and levitation. An elevated guideway is periodically supported by pillars and approximated by a sinusoidal track. To compensate for the static instability of the propulsion and levitation systems, the state feedback controllers for both systems are designed for the Maglev M-Bahn. The transient responses of the systems to the external step forces given in the longitudinal and/or vertical directions are simulated using the non-linear dynamic equations of the propulsion and heave motions, which were derived on a basis of the theory of the controlled-PM LSM presented previously by the authors.