Abstract: The energies systems are the principle challenge for the future of rural or urban society where the engineering search the solutions that make a green system for supplied the actual demand. For that the implementation of renewable energy is growing, due to lack in nature reserve, the pollution excess and the continuous demand in the use of energy to supply the necessities in the common life. It means that we need to change the way to use the environmental resources to get it using green energy sources. This research shows the results obtained by perform a generalized predictive control as one of predictive control theories in a micro grids systems because it needs few parameters and adopts strategies of multi-step prediction, receding-horizon optimization and feedback correction which has good tracking characteristic and reduces on-line calculations of control algorithm. Based on the discrete Controlled Autoregressive Integrated Moving Average (CARIMA) Model, the control algorithm was combined with merits of adaptive control which made control system possess of excellent robust and intelligent capability.