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Proceedings Paper

Active absorption of acoustic wave using state-space control approach
Author(s): Zhen Wu; Vijay K. Varadan; Vasundara V. Varadan; Kwang Y. Lee
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Paper Abstract

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.

Paper Details

Date Published: 1 May 1994
PDF: 12 pages
Proc. SPIE 2189, Smart Structures and Materials 1994: Smart Materials, (1 May 1994); doi: 10.1117/12.174059
Show Author Affiliations
Zhen Wu, The Pennsylvania State Univ. (United States)
Vijay K. Varadan, The Pennsylvania State Univ. (United States)
Vasundara V. Varadan, The Pennsylvania State Univ. (United States)
Kwang Y. Lee, The Pennsylvania State Univ. (United States)

Published in SPIE Proceedings Vol. 2189:
Smart Structures and Materials 1994: Smart Materials
Vijay K. Varadan, Editor(s)

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