An asymptotic discrete second order sliding mode control law for highly non stationary systems

In this work, an asymptotic numerical second order sliding mode control (2-DSMC) is developed in order to reduce the chattering phenomenon that characterize the discrete first order sliding mode control. A comparative study with Bartolinipsilas numerical second order sliding mode control approach is realized. The obtained results in the case of the proposed approach denote the notable improvement of the closed loop performances in regulation and in tracking, essentially, in presence of the highly non stationary system.