Abstarct: In this thesis, by using of Robust Adaptive controller a single phas full bridge inverter is controlled. Average state equations are used to model the system which is connected to the grid.The proposed inverter is using VSI source to feed the reactive power to the grid. By consediring nonlinear charactristics ,noise,disturbance,input voltage variations and phase differences in connected grid,there existed some limitations for designing the controller which in this case the contervorsial controllers can't be useful enough.First,the indirect self tuning adaptive controller is presented and then the robust adaptive controller is designed.At the end,the synchronized method called grid synchorinized is introduced which is caple of extracting parallel and orthoagnal factors from grid voltage to generate the synchronized current and inject the generated current to the controller loop for controlling and tracking the grid phase connected to the inverter.baxsed on the simulations , the effectiveness of the controllers will be shown.