On the Discrete-Time Integral Sliding-Mode Control

By Khalid Abidi, Jian-xin Xu, Xinghuo Yu. IEEE Transactions on Automatic Control, 2007

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Integral sliding mode control of a quadrotor with fractional order reaching dynamics (2011, methodology): “The modification by considering the integral of the error instead of the error itself makes the overall control scheme more robust against disturbances (Abidi et al., 2007; Choi, 2007; Defoort et al., 2006; Lee et al., 2001; Niua et al., 2005; RiosGastelum et al., 2003; Venkataramanan and Divan, 199”
Continuous Integral Terminal Third-Order Sliding Mode Motion Control for Piezoelectric Nanopositioning System (2017, background): “It has been shown that SMC with an integral type of sliding surface is able to deliver a better control performance than the conventional proportional one [27], [28].”
Robust Sliding Mode Control for Discrete Stochastic Systems With Mixed Time Delays, Randomly Occurring Uncertainties, and Randomly Occurring Nonlinearities (2012, background): “Recently, many important results have been reported on the SMC problem for discrete-time systems (see [1], [5], [10], [20], and [21]).”
Recent Advances on Recursive Filtering and Sliding Mode Design for Networked Nonlinear Stochastic Systems: A Survey (2013, unknown): “[131] K.”
Chattering-free discrete-time sliding mode control (2016, background): “By Abidi et al. (2007), the system matrices of discrete-time system (2) have the following properties.”