Noise Reduction in Ducts Achievable by Point Control

[+] Author and Article Information
K. A. Morris

Department of Applied Mathematics, University of Waterloo, Waterloo, Ontario N2L 3G1, Canada

J. Dyn. Sys., Meas., Control 120(2), 216-223 (Jun 01, 1998) (8 pages) doi:10.1115/1.2802412 History: Received July 15, 1996; Online December 03, 2007


Noise control in a one-dimensional duct is analyzed. This problem is of practical interest and is also simple enough that a complete theoretical analysis is possible. It is shown that the optimal controller leads to an unstable closed loop. The noise reduction level achievable with a stable closed loop is calculated for arbitrary choices of sensor and actuator locations. This enables the best placement of sensors and actuators to be determined. Also, the analysis indicates that a “spatial waterbed” effect exists in some configurations of active noise control: i.e., that noise levels are increased for points outside of the region over which the design is done.

Copyright © 1998 by The American Society of Mechanical Engineers
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