%0 Journal Article %T New Discrete Sliding Mode Control for Nonlinear Multivariable Systems: Multi-Periodic Disturbances Rejection and Stability Analysis %J International Journal of Control Science and Engineering %@ 2168-4960 %D 2012 %I %R 10.5923/j.control.20120202.02 %X The Sliding Mode Control (SMC) is well known by its robustness to parameter uncertainties or external disturbances. The repetitive control (RC) is able to track or reject periodic and multi-periodic signals. This paper presents a new control strategy as a combination of a Sliding Mode approach and Repetitive Control to reject periodic and multi-periodic disturbances in the case of nonlinear multi-input discrete-time systems. A stability analysis of the new repetitive discrete sliding mode control is then proposed. The simulation results show the effectiveness of the proposed control to reject periodic and multi-periodic disturbances. %K Nonlinear Multivariable Control Systems %K Sliding Mode Control %K Repetitive Control %K Rejection of Periodic And Multi-Periodic Disturbances %U http://article.sapub.org/10.5923.j.control.20120202.02.html