This paper proposes an enhanced hierarchical structure for the control of microgrids. Taking into consideration the existing three-level classifications of the microgrid problems, we further expand each level in order to be more accurate in the classification of the objects, the goals, the disciplines, and the methods typically used to address control problems in microgrids. This hierarchy is then a framework that can be used to advance in the study of microgrids in an ordered way, focusing on particular problems, and using appropriate tools. As an example of how this hierarchy can help to classify the control of microgrids, we propose a setup though for a productive industrial application.