In this paper, two models were developed to describe the lateral dynamics of a vehicle for different purposes. The lateral feedback and feedforward controllers are designed to satisfy the above objective based on a linearized model, which includes only the lateral and yaw motions. The performance of the controllers is evaluated on a complex model, which includes motions in all six directions (longitudinal, lateral, vertical, roll, pitch and yaw). It has been validated by numerical simulations that the responses of the complex model and the simplified model remain close to each other when the steering is not too abrupt.