The control of cyclic processes is an open issue in the literature due to their very peculiar dynamic behavior. Thus, deeper studies about this problem are necessary in order to promote an efficient operation of those processes at industrial level. This work presents a nominally stabilizing MPC controller, also known as infinity horizon model predictive control (IHMPC) applied in the control of a simulated moving bed (SMB) process where Bi-naphthol enantiomers are separated. It is presented a novel advanced control strategy in the field of SMB processes control while grounds are provided for further developments on the field of cyclic processes dynamics and control. The IHMPC performance is evaluated in terms of feasibility and robustness in a realistic nonlinear plant-model mismatch scenario. It is tested in terms of both unmeasured disturbance rejection and conflicting output-tracking scenarios. The results presented indicate that even though the conventional finite horizon based MPC controller is able ...