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In this paper, the problem of sliding mode control for a class of discrete-time system is addressed. A disturbance observer is embedded in the controller to achieve active disturbance rejection. For systems with matched and mismatched disturbances, by Lyapunov stability and H ∞ approach, the sliding surfaces are derived, and the sliding mode controllers are designed by a modified reaching law approach to actively counteract disturbances. Verification examples are presented to demonstrate the effectiveness and potential of the proposed new design schemes.
Zhang et al. (Fri,) studied this question.