This work presents a synthesis method of nonstationary robust controller for a time-varying system considering various uncertainties. For the uncertainties, a scaled structured uncertainty is regarded as weightings for variations of parameters and a design function in the time domain. Meanwhile, a filter enveloping model errors of a control object in the frequency domain counts an unstructured uncertainty. A wire changing its length is adopted as the controlled object and then its vibration control is discussed as a practical problem for solution. The performances of controllers are demonstrated in the time and the frequency domains through the numerical calculations for the case that the object is subjected to disturbance and variation of parameters. The proposed controller designed by considering both uncertainties shows the advantages for the robustness.