Noise from jet engines, vehicle exhaust systems, and heating, ventilation, and air conditioning systems often involves planar acoustic wave propagation through finite ducts. This paper introduces controllers that use a loudspeaker actuator and two microphone pressure sensors to adaptively decouple adjacent ducts, thereby isolating a quiet duct from bounded disturbances in an adjacent noisy duct. The system model includes a one dimensional displacement-based partial differential equation for planar noise propagation in the two ducts and an ordinary differential equation for the speaker dynamics. Based on Lyapunov theory, Exact Model Knowledge and adaptive isolation controllers exponentially and asymptotically regulate the controlled duct from bounded disturbances in the uncontrolled duct, respectively, while ensuring bounded uncontrolled duct response and control voltage.

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