In this paper, we propose two methods of discrete sliding mode control. The first is the discrete fast terminal sliding mode control (DFTSM) and the second is the discrete integral sliding mode control (DISMC). These methods are proposed in order to overcome sliding mode problems, such as chattering phenomenon, convergence speed and rejection of external disturbance. An illustrative example is presented to prove the effectiveness of the proposed methods.Index Terms-Discrete Sliding Mode Control, Fast Terminal Sliding Mode Control, Integral Sliding Mode Control, Chattering phenomenon, Convergence speed.
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.
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