1989
DOI: 10.1115/1.3269860
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Modal Control of Acoustic Plants

Abstract: This paper produces a three-dimensional closed loop active noise control system using modal control. A state space representation of the acoustic plant was produced and then expanded to include actuator and measurement dynamics. Using this state space model and linear quadratic gaussian control theory, a single input, single output feedback filter was produced by a well-damped system. Experimental results are given. For bandlimited noise excitation, the controller produced satisfactory results.

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Cited by 18 publications
(4 citation statements)
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“…Most active control work by structural acousticians is based in the frequency domain [1,5,17], and while real-time predictions for structural velocity appear many times in literature [18][19][20][21][22][23], there is no one result that enables real-time acoustic pressure simulation from a two-dimensional vibrating structure to any point in space. Dohner et al [24] produced a state-space model for acoustic pressure in an enclosure excited by a simple volume velocity source. Where real-time predictions for acoustic pressure radiated from a vibrating structure into free space do exist the results are limited to directly above the structure, where acoustic pressure is in phase with the modal response [25,26].…”
Section: Introductionmentioning
confidence: 99%
“…Most active control work by structural acousticians is based in the frequency domain [1,5,17], and while real-time predictions for structural velocity appear many times in literature [18][19][20][21][22][23], there is no one result that enables real-time acoustic pressure simulation from a two-dimensional vibrating structure to any point in space. Dohner et al [24] produced a state-space model for acoustic pressure in an enclosure excited by a simple volume velocity source. Where real-time predictions for acoustic pressure radiated from a vibrating structure into free space do exist the results are limited to directly above the structure, where acoustic pressure is in phase with the modal response [25,26].…”
Section: Introductionmentioning
confidence: 99%
“…[17][18][19] Compared with classical control theory, modern control theory has a number of advantages, as follows. ͑1͒ It is assured that the designed controller is causal because a control system is analyzed and designed in the time domain on the basis of the concept of state variables.…”
Section: Introductionmentioning
confidence: 99%
“…Several studies on the application of modern control theory based on the state-space method for active control of sound fields have been published. Dohner et al [6] and Bai PAPER et al [7] developed active noise control systems using linear quadratic optimal control. In their system, the full sound field was regarded as a plant, however it was assumed that the modal parameters for describing the sound field in state space were known theoretically or experimentally.…”
Section: Introductionmentioning
confidence: 99%