This paper presents the design of a robust control strategy for linear parameter-varying (LPV) systems. The proposed strategy involves the design of a robust control law based on an integral sliding-mode control (ISMC) approach with an interval predictor-based state feedback controller and a Model Predictive Control (MPC) scheme. The proposed controller is robust to some external disturbances and parameter uncertainties, and deals with state and input constraints. The integral sliding-mode compensates for matched perturbations starting from the initial moment, i.e., ensuring the sliding-mode from the initial time instance. Then, the interval predictorbased state feedback controller and the MPC deal with the state and input constraints. The proposed strategy guarantees the exponential stability of the system. Furthermore, the simulation results show high performance of the proposed controller.