Active control of an incident acoustic wave using an array of secondary source has been extensively investigated. In general, the objective is to attenuate the propagating wave so as to generate a space with a reduced sound pressure level. However, there are a variety of applications where more flexible manipulation of the acoustic wave propagation is required. For example, in architectural acoustics it may be desirable to achieve a particular level of absorption rather than total cancellation of the acoustic wave. This paper presents an investigation into the use of an array of secondary sources to control the transmission, reflection, absorption and steering of an incident plane wave. A formulation is presented that enables the secondary sources to be driven to achieve the desired levels of transmission, reflection and absorption, as well as control over the angle of wave propagation. The requirements in terms of the secondary sources, error sensors and reference sensors are discussed and the physical limits on the control performance are evaluated.