We propose a sound field control system to control the sound over a wide area within a room by reducing the influence of the reproduction space using power envelope inverse filtering (PEIF). Envelopes of the impulse response within the room have approximately the same shape at all observation points. Therefore, the proposed sound field control system can control with a small number of loudspeakers a wider area by reducing reverberation in the room through envelope processing. We present experimental data demonstrating that the proposed PEIF system can provide better control than a system that uses minimum phase inverse filtering (MPIF), which is conventionally used for reducing reverberation. Improvement was observed across the frequency band, especially above 1kHz. Additionally, our PEIF system is more effective over the high-frequency range.