In this paper, analytical and experimental investigations into active contr
ol of multiple tones in a three-dimensional enclosure are presented. The fr
equency range of the disturbance is chosen to encompass one or more structu
ral and/or enclosure resonances. Distributed piezoceramic actuators and dis
tributed polyvinylidene fluoride (PVDF) sensors are mounted on one of the e
nclosure boundaries. Acoustic sensors are used inside and outside the enclo
sure. An analytical formulation based on a state-space model is developed f
or local vibration control on an enclosure boundary and/or local noise cont
rol inside the enclosure for bandlimited disturbances. The error sensor sig
nals are minimized by using digital feedforward control schemes based on fi
ltered-U gradient descent algorithms. Analytical predictions from the curre
nt work are found to compare well with the results obtained in our previous
experimental investigations. The current efforts are relevant to sound fie
lds such as those enclosed in rotorcraft cabins. (C) 1999 Acoustical Societ
y of America. [S0001-4966(99)03207-5].