Real-Time Frequency Response Estimation from Flight Data

A nonparametric method for estimating frequency responses in real time based on recursive least squares in the time domain was developed and studied. The method uses sinusoidal functions at selected frequencies known to be contained in the input in conjunction with recursive least squares to rapidly...

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Bibliographic Details
Published in:Journal of guidance, control, and dynamics control, and dynamics, 2012-09, Vol.35 (5), p.1406-1417
Main Authors: Holzel, Matthew S, Morelli, Eugene A
Format: Article
Language:English
Subjects:
Air transportation and traffic
Aircraft
Applied sciences
Computer science
control theory
systems
Control theory. Systems
Error analysis
Estimates
Estimating
Exact sciences and technology
Fourier transforms
Frequency response
Ground, air and sea transportation, marine construction
Least squares method
Mathematical analysis
Modelling and identification
Parameter estimation
Real time
Recursive
Simulation
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Summary:A nonparametric method for estimating frequency responses in real time based on recursive least squares in the time domain was developed and studied. The method uses sinusoidal functions at selected frequencies known to be contained in the input in conjunction with recursive least squares to rapidly estimate Fourier series coefficients for input and output time series, and thereby estimate frequency responses. Practical problems that arise when applying the discrete Fourier transform in recursive form were identified using simple examples. A general expression for accurate real-time calculation of the covariance matrix for recursive least-squares parameter estimation was developed and used to calculate valid uncertainty bounds for real-time frequency response estimates. Simulation data generated with optimized multisine inputs were used to investigate the accuracy of the proposed method for real-time frequency response estimation and to validate the calculated error bounds. The approach was also applied to flight data from a subscale jet transport aircraft. Comparisons of real-time frequency response estimates and error bounds with results from conventional postflight batch analysis showed that results from the real-time method were in statistical agreement with postflight batch estimates, with valid error bounds that properly indicated the quality of the real-time frequency response estimates. [PUBLICATION ABSTRACT]
ISSN:0731-5090
1533-3884
DOI:10.2514/1.56782