Affiliation:
1. Department of Applied Mathematics, University of Waterloo, Waterloo, Ontario N2L 3G1, Canada
Abstract
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.
Subject
Computer Science Applications,Mechanical Engineering,Instrumentation,Information Systems,Control and Systems Engineering
Reference23 articles.
1. Doyle, J. C., Francis, B. A., and Tannenbaum, A. R., 1992, Feedback Control Theory, MacMillan Publishing Co.
2. Elliot S. J. , and. NelsonP. A., 1993, “Active Noise Control,” IEEE Signal Noise Processing Magazine, Vol. 10, No. 4, pp. 12–35.
3. Francis, B. A., 1987, A Course in ℋ∞ Control Theory, Lecture Notes in Control and Information Science, Vol. 88, Springer-Verlag.
4. Hassibi, B., Sayed, A. H., and Kailath, T., 1996, “ℋ∞ Optimality of the LMS Algorithm,” IEEE Transactions on Signal Processing, Vol. 44, No. 2.
5. Hong J. , AkersJ. C., VenugopalR., LeeM., SparksA. G., WashabaughP. D., and BernsteinD. S., 1996, “Modeling, Identification, and Feedback Control of Noise in an Acoustic Duct,” IEEE Transactions on Control Systems Technology, Vol. 4, No. 3, pp. 283–291.
Cited by
22 articles.
订阅此论文施引文献
订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献