Abstract

In this work, a discrete second order sliding mode control with a new sliding function for a linear uncertain system with state delay is proposed. The systems are assumed to have structured mismatched time varying uncertainties. Firstly, a new sliding function include a present and a past value of the state, called dynamic surface, is designed by means of linear matrix inequalities (LMI). Then, a robust discrete second order sliding mode controller with this new function is investigated to overcome the effect of time delay and uncertainties in the closed loop. A numerical example illustrates the effectiveness and the advantages of the proposed approach.

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