In this paper an active suspension system is employed in order to improve the roll stability of heavy vehicles. When the vehicle is in an emergency situation a stabilizing moment is generated to balance the overturning moment in such a way that the control torque leans the vehicle into the corner. When the vehicle is in a normal driving maneuver the active suspension improves passenger comfort, i.e. the effect of harmful vibrations on the vehicle and passengers can be reduced. Selecting the forward velocity and the lateral load transfer as scheduling parameters, an LPV model is constructed, thus the model structure is nonlinear in the parameters but linear in the states. In the control design the changes in the forward velocity, the performance specifications both for rollover and suspension problems, and the model uncertainties are taken into consideration.