Abstract
In this paper, it is performed to suppress the transverse vibration of elevator-ropes caused by the resonance with sway of high-rise building. The elevator-rope has the characteristics due to its flexibility and the variation of its length. And also a control input system to suppress its vibrations requires gaps between an actuator and the rope because of preventing its abrasion. Therefore, we apply the nonstationary sliding mode control to reduce its vibrations with compensating the influence of time-varying characteristics and spillover and also the nonlinearity as the gap of input system. The suppression performance and the influence of nonlinearity are verified through the numerical calculations.