In this paper, a repetitive control algorithm for active sound attenuation in ducts is developed. Instead of using a discretized model for the dynamic of sound known as the distributed parameter system, the control system analysis is based on a close-form transfer function model. Since the transfer function is an exact solution to the wave equation, the problems induced by discretization can be avoided (e.g., spill over). Furthermore, the time-delay relationship between the microphone and cancellation speaker is transparent through the transfer function model. Knowing the relationship greatly reduces the difficulty of repetitive controller design. The analyses show that by using the Internal Model Principle, the cancellation speaker acts like a totally reflective boundary. In other words, although point source and measurement are considered, the control system can block the plane wave transmission, as compared with point cancellation only. To cancel harmonic noise in ducts, two repetitive control schemes are developed. New stability criteria and performance of the repetitive controller related to the sound cancellation are described.
|Number of pages||6|
|State||Published - 1 Dec 1992|
|Event||Proceedings of the 1992 Japan - USA Symposium on Flexible Automation Part 2 (of 2) - San Francisco, CA, USA|
Duration: 13 Jul 1992 → 15 Jul 1992
|Conference||Proceedings of the 1992 Japan - USA Symposium on Flexible Automation Part 2 (of 2)|
|City||San Francisco, CA, USA|
|Period||13/07/92 → 15/07/92|