To enable dynamic control in transaural personal sound zone (PSZ) systems, accurate binaural room impulse responses (BRIRs) at various listener positions are needed. Since it is impractical to measure BRIRs at all possible positions, interpolation from a sparse set of measured positions can be used. Although numerous BRIR interpolation methods exist, their effectiveness in sound field control applications remains unclear. In this paper, we propose a sub-band interpolation method that combines linear interpolation for frequencies lower than 2000 Hz with sinusoidal representation networks for frequencies higher than 2000 Hz. The interpolated BRIRs are then applied in a PSZ control system. Simulation results demonstrate that this hybrid approach significantly improves system performance at a wider frequency range.