Backstepping Boundary Control for Noise Reduction in Finite Ducts
Abstract
The objective of this experiment is to cancel acoustic disturbances generated by a loudspeaker at one end of a large diameter pipe.In this paper, we develop a boundary controller to actively cancel acoustic disturbance in an enclosed duct of finite length using a loudspeaker. Given a distributed parameter acoustic model and the actuator electrical dynamics at the boundary, Lyapunov-type arguments are used to design a model-based boundary control law that asymptotically regulates the noise with no control applied to that achieved by the proposed active noise cancellation algorithm.
The Experimental Setup
For this experiment, two loudspeakers are used (one on either side of the duct).- The duct is a 10 feet long 16 inch outside diameter PVC pipe.
- The feedback data is generated using a microphone inside the duct and a laser to measure the cone displacement.
Experimental Setup and Results
Experimental Setup
Frequency Response
- Boundary Pressure (Open-loop v/s Adaptive modes)
Time Response
- Open-loop Mode:
(a) Boundary Pressure, (b) Boundary Velocity. - Adaptive Controller:
(a) Boundary Pressure, (b) Boundary Velocity. - Adaptive Controller:
Parametric Estimates.
| CRB Home Page |