In control related studies, convex liftings have been of use to solve inverse parametric linear/quadratic programming problem. This paper presents a so-called convex liftings based method for robust control design of constrained linear systems affected by bounded additive disturbances. It will be shown that a geometrical construction as convex lifting can be used in optimization-based control design to guarantee robust stability and recursive feasibility in a given controllable region of the state space. Finally, a numerical example will be considered to illustrate this method.