Abstract
This paper presents a synthesis method of nonstationary sliding mode controller with time-varying switching hyperplane for reducing the vibrations of wire changing its length. The proposed method deals with a change of system in time domain continuously. First, we construct the model of controlled system including a wire and two mass points at both ends by non-dimensional synthesis method. Then the controller with time-varying hyperplane is designed with the time-varying Riccati equation. Finally, the performance of this controller is verified through the simulation in the two cases that the length is getting long and short.
