A high standard service must be provided in rail transportation for passenger safety and comfort. With this need in mind, data are collected on vibration problems in rail systems and control. In this study, a rail vehicle system in use in Istanbul traffic is studied and a physical model in the form of a 22-degrees-of-freedom half light rail transport vehicle and differential equations created for analyzing vibrations. A computer simulation is also been carried out. In the simulation, real parameters for the modeled vehicle are employed. In an effort to minimize displacement and acceleration of the vibrations obtained in the end of simulations based on time and frequency domains, a fuzzy logic controller is used to actively control vibrations in the simulation environment.