A fast robust control strategy based on variable power log-reaching law is proposed for a class of manipulator systems with uncertain random oscillations in the mounting base. The uncertain dynamic model of the system is established based on EulerLagrange equation， and the oscillation term of the base in the model is regarded as the uncertain external disturbance force of the manipulator system. A new approach law of variable power logarithm function is proposed， which can realize the rapid approach of the system state far away from the sliding mode surface， and ensure the effective chattering suppression after approaching the slid? ing mode surface. On this basis， combined with a fast terminal sliding surface， a fast robust controller is designed， which can fur? ther improve the state convergence rate of the system. The finite-time convergence of the controller is proved based on Lyapunov stability theory. An experimental platform is built to further verify the effectiveness of the controller.