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CIFER®-MATLAB Interfaces: Development and ... - Cal Poly

CIFER®-MATLAB Interfaces: Development and ... - Cal Poly

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Two sets of data were used: one was a simulation of the UAV, <strong>and</strong> the second from a series of<br />

flight tests on the vehicle. The goals of the analysis were to investigate data consistency using the<br />

frequency response arithmetic utility, <strong>and</strong> to explore the RMS <strong>and</strong> cross-over characteristics of<br />

the vehicle. The results of the analysis were compared to scaled b<strong>and</strong>width criteria for manned<br />

aircraft. This analysis was the final, most involved, validation of the CIFER ® -<strong>MATLAB</strong><br />

interface.<br />

4.4.1 Data Consistency checks:<br />

Checking data for kinematic consistency assures that measured data obeys kinematic laws <strong>and</strong><br />

does not contain hidden scale factors or delays. The frequency arithmetic feature of CIFER ®<br />

allows reconstruction of parameters not measured during flight tests from the responses of those<br />

that were measured. Additionally, it can be used to show whether or not data is consistent with<br />

kinematic laws. There are several relations among commonly measured rates <strong>and</strong> attitudes for<br />

aircraft as shown in Equations 4.4 through 4.8 5 . Herein, it was assumed that V 0 <strong>and</strong> W 0 were<br />

small.<br />

p = φ [4.4]<br />

q = θ [4.5]<br />

= a − gθ<br />

−W q V r<br />

[4.6]<br />

u<br />

x 0<br />

+<br />

0<br />

v −U<br />

β = a<br />

y<br />

−U<br />

r + W p + gφ<br />

[4.7]<br />

= <br />

0 0 0<br />

w = U α = a + U q −V<br />

p<br />

[4.8]<br />

o z o 0<br />

The simulation data includes measurements of phi <strong>and</strong> theta as well as the rates <strong>and</strong> accelerations<br />

in all axes, however, alpha <strong>and</strong> beta channels were not provided. Velocity perturbations were<br />

reconstructed from the time domain data in the FRESPID program using Equations 4.6 through<br />

4.8. The frequency responses could then be calculated for the velocity perturbations. Using<br />

43

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