This paper investigated the control strategies for the active suppression of rotor/stator rubbing. First, the synchronous full annular rubbing solutions of a rotor/stator model, which took into account the dynamics of the rotor, the stator and the contact stiffness, were solved analytically. The stability of the solutions was then analyzed. Secondly, the stability characteristics of the model with cross-coupling damping or stiffness were studied, and their relations with the rubbing friction were revealed. Based on the results, two control methods by using the effects of the cross-coupling for the active suppression of rotor rubbing were proposed. The numerical simulations show the feasibility of the proposed control methods.