Feedback control real-time scheduling (FCS) aims at satisfying performance specifications of real-time systems based on adaptive resource management. Existing FCS algorithms often rely on the existence of continuous control variables in real-time systems. A number of real-time systems, however, support only a finite set of discrete configurations that limit the adaptation mechanisms. This paper presents Hybrid Supervisory Utilization CONtrol (HySUCON) for scheduling such real-time systems. HySUCON enforces processor utilization bounds by managing the switchings between the discrete configurations. Our approach is based on a best-first-search algorithm that is invoked only if reconfiguration is necessary. Theoretical analysis and simulations demonstrate that the approach leads to robust utilization bounds for varying execution times. Experimental results demonstrate the algorithm performance for a representative application scenario.