“…Discrete-time integral sliding mode control (DISMC) was proposed by Abidi, Xu and Xinghuo (2007) as an improved technique of DSMC designed on the basis of the integral sliding mode (ISM) concept (Utkin & Shi, 1996). Subsequently, it was developed to control nonlinear systems for better tracking performances and response characteristics (Chihi et al, 2017), and uncertain and time-delayed linear systems for robust tracking and model following (Pai, 2008;Pai, 2009;Pai, 2014). Its main advantages are the full order of the motion equation in the quasi-sliding mode, the stability of the closed-loop system, the elimination of the reaching phase and the excellent tracking performance.…”