Abstract: The local feedback control of building structures using semi-active friction dampers subjected to strong seismic excitations is investigated in this study. The equation of motion of the controlled building is established and a local feedback control approach is developed for seismic mitigation. Three prediction feedback control strategies are proposed for the vibration control based on Kalman filter. The control performance is numerically examined with corresponding parameter investigations. The observations demonstrate that the proposed control approaches are effective for the response suppression of building structures subjected to different seismic excitations.