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Variance and bias confidence criteria for ERA modal parameter identificationFor the ERA system identification algorithm, perturbation methods are used to develop expressions for variance and bias of the identified modal parameters. Based on the statistics of the measurement noise, the variance results serve as confidence criteria by indicating how likely the true parameters are to lie within any chosen interval about their identified values. This replaces the use of expensive and time-consuming Monte Carlo computer runs to obtain similar information. The bias estimates help guide the ERA user in his choice of which data points to use and how much data to use in order to obtain the best results, performing the trade-off between the bias and scatter. Also, when the uncertainty in the bias is sufficiently small, the bias information can be used to correct the ERA results. In addition, expressions for the variance and bias of the singular values serve as tools to help the ERA user decide the proper modal order.
Document ID
19880063210
Acquisition Source
Legacy CDMS
Document Type
Conference Paper
Authors
Longman, Richard W.
(Columbia Univ. New York, NY, United States)
Bergmann, Martin
(Columbia University New York, United States)
Juang, Jer-Nan
(NASA Langley Research Center Hampton, VA, United States)
Date Acquired
August 13, 2013
Publication Date
January 1, 1988
Subject Category
Numerical Analysis
Report/Patent Number
AIAA PAPER 88-4312
Meeting Information
Meeting: AIAA/AAS Astrodynamics Conference
Location: Minneapolis, MN
Country: United States
Start Date: August 15, 1988
End Date: August 17, 1988
Accession Number
88A50437
Funding Number(s)
CONTRACT_GRANT: NAG1-649
Distribution Limits
Public
Copyright
Other

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