A radio-frequency (RF) remote control (10) has a user interface and transmits an RF signal (11) which designates a device (14) to be controlled and a command for that device. The RF signal is received by an intermediary device (12). The intermediary device, in turn, generates and broadcasts a plurality of high-power IR signals (13A-13F). These signals may be received directly by a controlled device (14A) or may be received indirectly by a controlled device (14B, 14C) after one or more reflections from objects (16A, 16B) and/or room surfaces (18). Thus, reliable control of the devices (14) is obtained even in situations where merely transmitting a typical IR signal may not provide reliable control of the device (14).