Musician interacting with a musical instrument.
Musician interacting with a feedback controlled acoustic musical instrument.
Feedback loop shown from controller’s perspective, with the controller represented by the Laplace-domain transfer function .
Model for musical instrument resonance with equivalent mass , damping parameter R, spring constant , and external force .
Control of a vibrating string with a collocated sensor (depicted as microphone) and actuator (depicted as loudspeaker) (top); Mechanical analog of PID control (bottom).
(Color online) Frequency response of the bandpass controller given by Eq. (9) with and .
Mechanical analog of the bandpass controller.
(Color online) Frequency response of the notch filter controller given by Eq. (10) with , , and .
Mechanical physical analog of the notch controller.
Ideal representation of controller (left); digital approximate implementation of controller (right).
Summary of the primary effects of the fundamental controllers on the musical instrument.
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