This paper presents a robust vibration control for SCARA-type robot manipulators. Some nonlinear terms in the model of robot manipulators are compensated for by nonlinear feedbak, while th others together with parameter variations, are treated as disturbances. μ-synthesis, which combines the structured singular value and H∞ control to design controllers for plants with structured uncertainty, is applied to design a feedback controller that achieves robust stability and robust performance. Then, by the model-matching method, a feedforward controller is designed to further improve the reference input tracking. Finally, simulation and experiments are conducted to check the effetiveness of the proposed control scheme.