The invention relates to a controllable antenna structure (11) comprising a set of antennas (AA) arranged on a flexible support (12). Phase shifts and, in an advantageous embodiment, amplitude gains of electromagnetic current transmitted to these antennas (10), are determined by control means (13) to achieve a directive radiation pattern of the set of antennas (AA), said control means including computing means (18) which determine the radiation pattern of the set of antennas in accordance with global motion (GM) of the flexible support detected by tracking means (16), in accordance with local motion (LM) of the flexible support detected by detection means (17) and in accordance with the radio-frequency field characteristics (RF). Phase shifts and amplitude gains are transmitted to antennas via at least a phase shifter (14) and at least a gain multiplier (15).