American Institute of Aeronautics and Astronautics
092407
1
An Application of Equation Error Method to Aerodynamic
Model Identification and Parameter Estimation of a Gliding
Flight Vehicle
Ümit Kutluay
1
and Dr. Gökmen Mahmutyazıcıoğlu
2
TÜBĐTAK-SAGE, Ankara, 06261, TURKEY
and
Prof. Dr. Bülent E. Platin
3
Middle East Technical University, Ankara, 06531, TURKEY
This paper describes the application of the equation error method to aerodynamic
parameter estimation of a gliding flight vehicle. The flight test data used is not originally
designed for estimation, causing data collinearity. A strategy is devised to deal with this
situation so that the model identification and parameter estimation can be performed. A
computer tool is developed in Matlab
®
environment for the flight test data processing and
aerodynamic identification/estimation. The results of the study show that, although the
stepwise regression and equation error method have some potential to be used for flight
vehicles other than aircraft, the quality of the flight test data and input design is crucial for
aerodynamic parameter identification.
Nomenclature
AFCS = automatic flight control system
b = span
C
D
= drag coefficient
C
L
= lift coefficient
C
l
= rolling moment coefficient
C
m
= pitching moment coefficient
Cm
q
= pitch rate damping stability derivative
C
n
= yawing moment coefficient
C
X
= axial force coefficient
C
Y
= side force coefficient
C
Z
= normal force coefficient
d = reference length
e = fit error
F = F-statistics
FTD = flight test data
Fv = flight vehicle
GFS = global Fourier smoother
I = mass moment of inertia
J = cost function
LS = least squares
p = body angular rate about x axis (roll rate)
PE = parameter estimation
PSD = power spectral density (estimate)
1
Chief Research Engineer, Flight Mechanics Division, ukutluay@sage.tubitak.gov.tr .
2
Assistant Director, Head of Design Engineering Department, gmahmut@sage.tubitak.gov.tr .
3
Faculty Member, Mechanical Engineering Department, platin@metu.edu.tr .
AIAA Atmospheric Flight Mechanics Conference
10 - 13 August 2009, Chicago, Illinois
AIAA 2009-5724
Copyright © 2009 by TUBITAK-SAGE. Published by the American Institute of Aeronautics and Astronautics, Inc., with permission.