Here we introduce two reaching laws utilizing difference equations with minimum function for discrete-time sliding mode control, aiming to combine the advantages of Gao’s and Utkin’s reaching laws. These methods are developed to address the limitations of each approach–namely, Gao’s law, which suffers from chattering, and Utkin’s law, which may lead to excessively large control actions. The proposed reaching laws are applicable to both unperturbed and perturbed systems. For unperturbed systems, the sliding function goes to manifold in finite span of time, while in perturbed systems, it remains close to the switching manifold. The efficacy of these techniques is shown via a pendulum system example affected by matched-type bounded perturbations, with simulation results showcasing the robustness and efficiency of the proposed laws.