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Duct Noise Control | ![]() |
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Summary Over the last half century, the development of control techniques to cancel unwanted noises in automobile interiors, jet engines, heating, ventilation and air conditioning (HVAC) systems, electric motors, transformers and vehicle exhaust systems has received a great deal of attention. Mathematically, these types of systems can be modeled by a distributed parameter system (i.e., partial differential equations) and a set of boundary conditions. Passive noise absorption and active noise cancellation approaches have been used to design controllers for noise reduction. Traditionally, these control design methodologies rely on discretized (i.e., finite order) sound models. Various passive noise reduction techniques have been implemented using absorbent materials; however, the absorbent material must be of the same physical dimension as the noise wavelength. Motivated by, for example, the need to install approximately 0.25 [m] of damping material to absorb a low-frequency noise of 200 [Hz], researchers have turned to active noise cancellation techniques for low frequency acoustic noise. Previous active control approaches use spatially discretized acoustic duct models for controller design and require the knowledge of some of the system parameters. This research develops a Lyapunov-based boundary controller for a distributed parameter acoustic duct model that also compensates for parametric uncertainty in the system model. The boundary control approach has the advantage of eliminating the possibility of spillover instabilities in the closed-loop system. Specifically, we utilize Lyapunov design techniques to construct a boundary control law that asymptotically regulates the acoustic noise in the duct while estimating on-line, the unknown, constant mechanical system parameters. Collaborators
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Frequency Response |
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Advisor: Christopher
D. Rahn.
For further information: Copyright © 2001 Mechatronics Research Laboratory |
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