Active control design for acoustic radiation using mixed-norm optimization

Linear matrix inequalities were applied to design a mixed H2/H(infinity) feedback control compensator for a structural acoustic system. The compensator was designed to minimize the H2 norm of radiation filters while constraining the H(infinity) norm through the control path to be less than unity. A trade-off between minimizing sound power radiated and maximum rms gain in the control path resulted in a reliable and robust means of designing compensators for structural acoustic control.