This paper proposes a robust control strategy for robust tracking and model-following of a class of uncertain linear discrete-time systems. This method is based on the discrete-time sliding mode control and ensures stability, robustness and output tracking against the modelling uncertainties even for large sampling periods. In this way, two strategies are used: firstly, the well-known Lyapunov theory is used to achieve a set of linear matrix inequalities, which is then utilized to design the sliding surface; secondly, a control input is designed to reach the quasi-sliding mode. Simulation studies show the effectiveness of the proposed method in the presence of parameter uncertainties.
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