1 May 1994 Active absorption of acoustic wave using state-space control approach
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This paper presents a computer modeling and simulation of an active sound absorbing system with an optimal state-feedback controller. First, a state-space model is developed to describe one-dimensional sound reflection and transmission in the time domain. In the model derivation, the difficulty of discretizing the wave equation in an unbounded region is overcome by combining the finite-difference and analytical solutions. Numerical simulation of the open- loop model response is performed, which shows a good agreement with the well known frequency domain solutions. Second, a state-feedback controller including a linear quadratic regulator and a Kalman filter type state-estimator is designed using the optimal control theory. Numerical simulation of the closed-loop model response of an active sound control system containing two sensors and one actuator is presented. It is shown that a broadband attenuation of more than 30 dB over 2 octaves has been reached.
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Zhen Wu, Zhen Wu, Vijay K. Varadan, Vijay K. Varadan, Vasundara V. Varadan, Vasundara V. Varadan, Kwang Y. Lee, Kwang Y. Lee, "Active absorption of acoustic wave using state-space control approach", Proc. SPIE 2189, Smart Structures and Materials 1994: Smart Materials, (1 May 1994); doi: 10.1117/12.174059; https://doi.org/10.1117/12.174059

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