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TECHNICAL BRIEFS

A Sensor Placement Strategy for the Hybrid Adaptive Feedforward Observer

[+] Author and Article Information
Chau M. Tran

Mechanical and Aerospace Engineering Department, North Carolina State University, Box 7910, 3211 Broughton Hall, Raleigh, NC 27695

Steve C. Southward

Thomas Lord Research Center, Lord Corporation, Cary, NC 27511

J. Dyn. Sys., Meas., Control 128(2), 449-452 (Feb 20, 2005) (4 pages) doi:10.1115/1.2196421 History: Received April 28, 2003; Revised February 20, 2005

A sensor placement technique is proposed for implementing the hybrid adaptive feedforward observer. The observer is a conventional dynamic observer augmented with an adaptive feedforward component for estimating the effect of persistent, nonstationary disturbances. The placement technique searches for the least possible number of sensors that satisfy two criteria, the observability of the plant, and the lowest condition number of the error dynamic system's state matrix. Demonstration was performed on a one-dimensional acoustic duct. The results show that the proposed technique is an effective guideline for identifying the optimal sensor locations.

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Copyright © 2006 by American Society of Mechanical Engineers
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Figures

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Figure 1

Implementation of a hybrid adaptive feedforward observer

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Figure 2

Construction of the optimal state-space model for the 1D duct

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Figure 3

Combinations of three microphones with the lowest condition numbers of the observability matrix

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Figure 4

Observable combinations of microphones with ascending condition numbers of matrix A-FC

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Figure 5

Root locus of the overall system at 60Hz when microphones {3,5,11} in the acoustic duct were chosen

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Figure 6

Root locus of the overall system at 60Hz when microphones {2,8,11} in the acoustic duct were chosen

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Figure 7

Upper limit of the adaptive step size for three observable combinations of microphones

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