This paper presents an actuator fault compensation approach for a class of Linear Parameter-Varying (LPV) systems with noisy measurements. The proposed method is based on interval estimation assuming that the fault vector and the external disturbances are unknown but bounded. The main idea consists in designing a control law, based on a linear state feedback, to guarantee closed-loop stability. An additive control, based on fault bounds, is used to compensate the impact of actuator faults on system performances. The closed-loop stability of the robust fault compensation scheme is established in the Lyapunov sense. Finally, the theoretical results are illustrated using a numerical example.