Linear matrix inequalities were applied to design a mixed H-2/H-infinity fe
edback control compensator for a structural acoustic system. The compensato
r was designed to minimize the H-2 norm of radiation filters while constrai
ning 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 t
he control path resulted in a reliable and robust means of designing compen
sators for structural acoustic control. (C) 2000 Acoustical Society of Amer
ica. [S0001-4966(00)02609-6].