The design of suspension systems is the challenge of railway vehicle designers for the multitude of design parameters and the complexity of the objectives. The problem lies in the conditions caused by the rail profile and the speed of the railway vehicle. A controlled suspension system must satisfy the passenger comfort in any configuration of rail defects and running speed. This work aims at the design and performance comparison of three passives, semi-active and active suspension systems with a PID and LQR controller for the quarter rail vehicle model. Then, the Lagrangian approach is used for numerical simulation of the dynamic behavior in order to study the dynamic comfort in response to imperfections in the rail. The simulation results showed that the active LQR system gives remarkable overshoot improvements (86%) compared to the passive and semi-active LQR. While the semi-active suspension is more efficient than the passive suspension (50%) but with weaknesses.