Euler's Discretization Effect on a Sliding-Mode Control System With Supertwisting Algorithm

In this article, we study the Euler's discretization effect on a sliding-mode control system with a supertwisting algorithm (STA). We start from the undisturbed STA and show that the trajectory eventually converges to an exactly bounded region around the origin. Periodic behaviors are explored. Furthermore, the discretization effect on the disturbed STA is established, and the stability analysis is given. Simulation results demonstrate the effectiveness of the proposed strategies.