Sd. Sommerfeldt et Pj. Nashif, AN ADAPTIVE FILTERED-CHI ALGORITHM FOR ENERGY-BASED ACTIVE CONTROL, The Journal of the Acoustical Society of America, 96(1), 1994, pp. 300-306
A control algorithm based on the filtered-x LMS algorithm is developed
that has the property of able to control the energy in the acoustic f
ield. The algorithm is useful for providing greater global control of
the field than is obtained by controlling the pressure. This is due to
the fact that the energy-based approach effectively overcomes the obs
ervability problems that often limit the performance possible when con
trolling the pressure field. The control approach is developed for the
cases of a predominantly standing wave field, and a predominantly pro
pagating wave field. The approach is applicable for both broadband and
narrow-band excitations. A simple example demonstrating the increased
performance possible with the energy-based control approach is presen
ted for the case of single frequency excitation.