This paper presents a data-driven multivariable Linear Parameter Varying (LPV) controller design method. The synthesis process is based on frequency-domain data corresponding to different operating points of the plant. The performance and also stability constraints for frozen scheduling parameter are convexified around an initial stabilizing controller and solved using a convex optimization solver. This method has been applied to the combined primary and secondary controller design problem of electrical microgrids. The performance of the proposed method has been validated through simulating a microgrid including a synchronous generator, a battery storage and a photo-voltaic unit. The results show that using this method, high performance is achieved in different operating points. Copyright (C) 2021 The Authors.