Stability Analysis of Discrete Integral Sliding Mode Control for Input–Output Model

Abstract

The sliding mode control (SMC) has several advantages in terms of good transient performance and system robustness. However, the sensitivity of this control technique to disturbance before reaching the sliding surface and the existence of the chattering phenomenon can be considered as the major problems in its implementation. To overcome these problems, we propose a new discrete integral sliding mode control (DISMC) for input–output model and compare it with the classical SMC and a recent version of DISMC. Then, a stability analysis is presented. Simulation results are given to illustrate the effectiveness of the proposed method.