The work proposed in this thesis is in the context of autonomous driving. In particular, the objective is the development of a control law for path tracking of collision avoidance maneuvers for an autonomous vehicle.Several non-linear models of the vehicle, capable of representing its behavior in high dynamics maneuvers, are presented. The purpose is to obtain a model for the synthesis of the controllers. The different vehicle models proposed take into consideration the dynamics of the longitudinal, lateral and yaw vehicle speeds. That allows to use the models for the synthesis of controllers that deals simultaneously with vehicle longitudinal and lateral control. Moreover, a non-linear model for tire forces and the variable representation ...