Investigation of vibration is an important topic for the purposes of ride Investigation of control vibration is an important topic for the purposes of ride comfort in railway engineering. The vibration of rail vehicles becomes very complex because it is affected by the condition of vehicles, including suspensions and wheel profile, condition of track sections, including rail profile, rail irregularities, cant and curvature. The present study deals with the modeling and control for lateral rail vehicle active suspension by PID-ZN controller. For this, a numerical simulation of the dynamic behavior is made based on the Lagrangian approach in order to study the effect of vehicle speed in response to imperfections in the tracks. A model of 17 degrees of freedom is adopted which consists of one car body 2 bogies and 4 wheel-sets. A Sperling ride index (ISO2631) is calculated using filtered RMS accelerations in order to evaluate the ride comfort. Which allowing at the same time the evaluation of the dynamic behavior of the car body and the level of passenger comfort by analyzing the accelerations at the center of mass of the car body.