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This paper focuses on the constrained control of UAVs in geofencing applications. Although geofence systems are becoming more attractive as a research topic, most works are focusing on defining the boundaries of the admissible geographical region without addressing the control issues and boundary-handling problems. In this paper, we propose a constrained control scheme to steer an UAV to the desired position while ensuring constraints satisfaction at all times. To do so, we make use of the recently introduced Explicit Reference Governor framework. The proposed scheme is validated through extensive experimental studies carried out in a laboratory environment.