<p>This paper investigates the influence of time-delayed state feedback control on the stochastic resonance phenomenon in non-smooth dynamic systems subjected to rotational components of earthquake excitation. A piecewise-smooth mechanical model incorporating dry friction and unilateral constraints is developed to capture realistic nonlinearity in structural behavior. The system is excited by both translational and rotational ground motions with added stochastic perturbations. Using numerical simulations, we demonstrate that appropriately designed time-delay feedback can suppress stochastic resonance, improving system stability and reducing irregular large-amplitude oscillations. A comprehensive analysis reveals that the proposed control strategy can significantly enhance system response regularity and energy harvesting capability by tuning delay parameters. These results offer novel insight into the interplay between rotational seismic effects, time delay, and non-smoothness. The results reveal a strong dependence of resonance characteristics on both delay parameters and rotational excitation intensity, offering new insight into seismic control strategies for systems with non-smooth dynamics.</p>