Aircraft and Rotorcraft System Identification: Engineering Methods with Flight-Test Examples

13.5: Frequency-Response Database and Frequency Ranges

13.5 Frequency-Response Database and Frequency Ranges

In this section the frequency-response database and associated frequency ranges are selected for incorporation in the identification cost function of Eq. (12.20). This leads to a frequency-response table that is then used to eliminate some of the control and response derivatives, thereby achieving an initial reduction in the complexity of the model structure.

13.5.1 Frequency-Response Database

In the case of the six-DOF model structure, there are n c = 4 inputs [Eqs. (13.28) or (13.29)] and n o = 9 outputs [Eq. (13.30)], yielding a total of 36 possible frequency response pairs T l, to be included in the identification cost function. (There are more if aerodynamic angles measurements ? and ? are also included.) We recall from Table 10.1 that one work flowpath is used to determine one column of the frequency-response (data) matrix . This is repeated for each primary control (four work flowpaths in total), corresponding to the n c = 4 columns of . Assuming that n w = 5 spectral windows are used, the total number of frequency responses that are calculated in creating the frequency-response database are 840 SISO frequency responses, 180 MISO (conditioned) frequency responses, and 36 composite window (final) frequency-response pairs comprising the n o n c data matrix . Thus a total of 1056 frequency responses are estimated to determine the flight data matrix . Keeping track of this large number frequency responses can be...

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