Discretization behaviors of a super-twisting algorithm based sliding mode control system

In this paper, we study the Euler's discretization effect on the super-twisting algorithm based sliding mode control system. We start from the continuous time system and then extend to the Euler discretized super-twisting system. The stability and boundedness of the closed system are provided. Furthermore, the periodicity of the discrete orbit is shown. Simulations are presented to verify the theoretical results.