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Feedback control of acoustic musical instruments: Collocated control using physical analogs
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10.1121/1.3651091
/content/asa/journal/jasa/131/1/10.1121/1.3651091
http://aip.metastore.ingenta.com/content/asa/journal/jasa/131/1/10.1121/1.3651091

Figures

Image of FIG. 1.
FIG. 1.

Musician interacting with a musical instrument.

Image of FIG. 2.
FIG. 2.

Musician interacting with a feedback controlled acoustic musical instrument.

Image of FIG. 3.
FIG. 3.

Feedback loop shown from controller’s perspective, with the controller represented by the Laplace-domain transfer function .

Image of FIG. 4.
FIG. 4.

Model for musical instrument resonance with equivalent mass , damping parameter R, spring constant , and external force .

Image of FIG. 5.
FIG. 5.

Control of a vibrating string with a collocated sensor (depicted as microphone) and actuator (depicted as loudspeaker) (top); Mechanical analog of PID control (bottom).

Image of FIG. 6.
FIG. 6.

(Color online) Frequency response of the bandpass controller given by Eq. (9) with and .

Image of FIG. 7.
FIG. 7.

Mechanical analog of the bandpass controller.

Image of FIG. 8.
FIG. 8.

(Color online) Frequency response of the notch filter controller given by Eq. (10) with , , and .

Image of FIG. 9.
FIG. 9.

Mechanical physical analog of the notch controller.

Image of FIG. 10.
FIG. 10.

Ideal representation of controller (left); digital approximate implementation of controller (right).

Tables

Generic image for table
TABLE I.

Summary of the primary effects of the fundamental controllers on the musical instrument.

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/content/asa/journal/jasa/131/1/10.1121/1.3651091
2012-01-13
2014-04-16
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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: Feedback control of acoustic musical instruments: Collocated control using physical analogs
http://aip.metastore.ingenta.com/content/asa/journal/jasa/131/1/10.1121/1.3651091
10.1121/1.3651091
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