Comparative study of higher order sliding mode controllers

The standard sliding mode control (SMC) lads, generally, to the appearing of an undesirable chattering phenomenon to solve this problem we develop a novel approach of higher order sliding mode control (HOSMC). The proposed procedure provides an exponential stability on the sliding surface and guarantees the robustness against uncertainties and external matched disturbances. In this paper, and to show the good performances of the new design scheme we present a comparative study between three well known techniques of HOSMC in literature with our approach. Numerical simulations are developed to show the effectiveness of the proposed approach.