In the Model-Based Engineering (MBE) paradigm, models are the core elements in the design process of a system from its requirements to the actual implementation of the system. By means of Supervisory Control Theory (SCT), supervisory controllers (supervisors) can be synthesized instead of designingthem manually. In this paper, a framework based on the Compositional Interchange Format for hybrid systems (CIF) has been developed that integrates the MBE andthe SCT paradigms. To illustrate the framework, an industrial-size case study has been performed: 'synthesis of a supervisory controller for the patientsupport system of an MRI scanner'. In this case study, we address 1) modelling of the components and the control requirements; 2) synthesis ...