Abstarct: The usage of renewable energy sources is one of the novel scientific topics all over the world owing to its environmental friendly nature and affordable cost. In addition, power electronic converters are used to convert the renewable energy sources to electricity with the help of control engineering. Hence, selecting a proper converter and an efficient control technique is at the highest importance. The structure of single active bridge (SAB) converter and the implementation of robust adaptive controller are focused in this thesis. Some of the main advantages of his topology are high power, the isolation capability of input from output, soft switching, ability to shift phase, high frequency, and small size for both the filter and the transformer; also, to model this converter, the concept of Grey-box is utilized. Then, system equations are extracted by Least Square identification method. Considering different harmful disturbances such as noise, input voltage variations and nonlinearity characteristics of the system, some limitations are proposed for the control process. However, classical controllers are not robust enough to cover the issues discussed above. Thus, this system is classified into two sections of AC and DC while, for the DC section, Fractional-order PID (FOPID) controller is used to control voltage and for the AC part, adaptive indirect self-tuning controller is used to manage the current. This double loop structure is called Cascade controller. Next, to improve and ensure the ideal application of the system against noise and disturbances, robust control will be added to the optimization algorithm. Finally, baxsed on the simulation results, the efficiency of the proposed control strategy will be shown.