A State-Space Modeling of One-Dimensional Active Noise Control Systems

[+] Author and Article Information
Zhen Wu, V. K. Varadan, V. V. Varadan

Department of Engineering Science and Mechanics, The Pennsylvania State University, 149 Hammond Building, University Park, PA 16802

K. Y. Lee

Department of Electrical Engineering, Center for the Engineering of Electronic and Acoustic Materials (CEEAM), The Pennsylvania State University, 149 Hammond Building, University Park, PA 16802

J. Vib. Acoust 117(2), 220-225 (Apr 01, 1995) (6 pages) doi:10.1115/1.2873919 History: Received April 01, 1993; Revised November 01, 1993; Online February 26, 2008


A state-space representation of a dynamic system for one-dimensional sound reflection and transmission is developed. The state-space modeling is the first step for future development of an active noise control system using modern control synthesis tools. In contrast to a classical frequency-domain description, the state model allows direct computation of the system’s time response and provides a forum for modern control synthesis, which leads to an optimal control algorithm. Based on the governing wave equation, the state model is derived using a finite difference technique combined with analytical expressions. Numerical simulation of the dynamic system model is presented, which shows a good agreement with the frequency-domain solutions. Discretization errors are investigated and improved by using nonuniform grids.

Copyright © 1995 by The American Society of Mechanical Engineers
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