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This paper presents the design of light rail vehicles (LRVs) active suspension system control using model predictive control (MPC) with assumption that the preview information of oncoming disturbance is available. The aims of control design are to provide ride comfort and safety.  A multibody dynamical model of the tree-car train set  is considered to investigate the performance of proposed controller. Numerical simulation is performed to verify the performance of the proposed controller.  The simulation results show that the performance of proposed controller is better than the performance of passive suspension.