In order to address “wicked problems”, complex, multi-level governance structures must be established. These structures in turn require sophisticated systems of controls over public power to safeguard the rule of law. This seems to have been ignored in EU legislative practice and relevant research. This article argues that future research and legislative design of controls over public power in the EU need to be guided by the principle of connecting, aligning and making interplay between relevant concepts, institutions, procedures and scopes of different types of control belonging to the many jurisdictions, whose actors are involved in the executing of (shared) tasks in the EU. Connecting the disciplines that study these issues is a necessary prerequisite to this endeavour.