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This paper presents a suitable mathematical model of Wind-Diesel hybrid power system is developed to study its response following a frequency disturbance on an island electric system. A robust controller is designed for the governor winddiesel system to improve the system dynamic performance. Further to reduce system oscillations, a BES which will supply and absorb active power quickly. In addition, variation of system parameters, unpredictable power demand causes various uncertainties in the system. This paper focuses on a new robust controller design of BES for frequency control in a hybrid system. The co-prime factorization method is used to represent the unstructured uncertainties in the system modeling. The structure of BES controller is a first order lead lag compensator. To tune the controller parameters, the optimization problem is formulated based on PSO based loop shaping control is used for designing a robust controller.