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In this work, we design a supervisory control system via model predictive control (MPC) for the optimal management and operation of an integrated wind-solar energy generation and reverse-osmosis (RO) water desalination system. The supervisory MPC is able to coordinate the wind and solar subsystems as well as a battery bank to provide enough energy to the RO subsystem so that enough desalinated water can be produced to satisfy the water consumption and storage demands. Optimality considerations on system operation and energy savings are also taken into account via appropriate constraints in the controller formulation. Moreover, in the supervisory MPC design, a two-time-scale property of the dynamics of the integrated system is taken advantage of to improve the computational efficiency of the control problem formulation. Simulations are carried out to illustrate the applicability and effectiveness of the proposed supervisory predictive control design.