This paper presents closed-form mathematical models for an acoustic duct with general boundary conditions. These infinite-dimensional models are derived using symbolic computations. A new method to obtain finite dimensional approximations of infinite-dimensional models using quartic functions is presented. The theoretical models are compared with the experimental data obtained for the KSU duct. The experimental results of a new robust broadband feedback controller, designed using passivity-based techniques, are presented. The controller design is shown to be robust to the unmodeled dynamics and parametric uncertainty.
Modeling and Control of Acoustic Ducts
Contributed by the Technical Committee on Vibration and Sound for publication in the JOURNAL OF VIBRATION AND ACOUSTICS. Manuscript received November 1999; revised June 2000. Associate Editor: R. L. Clark.
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Pota, H. R., and Kelkar, A. G. (June 1, 2000). "Modeling and Control of Acoustic Ducts ." ASME. J. Vib. Acoust. January 2001; 123(1): 2–10. https://doi.org/10.1115/1.1311793
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