Aerodynamic Parameter Estimation Via Fourier Modulating Function Techniques

AERODYNAMIC PARAMETER ESTIMATION VIAFOURIER MODULATING FUNCTION TECHNIQUESA. E. Pearson 1Division of EngineeringBrown UniversityProvidence, RI 02912ABSTRACTParameter estimation algorithms are developed in the frequency domain for systems modeledby input/output ordinary differential equations. The approach is based on Shinbrot's methodof moment functionals utilizing Fourier based modulating functions. Assuming white meas-urement noises for linear multivariable system models, an adaptive weighted least squaresalgorithm is developed which approximates a maximum likelihood estimate and cannot bebiased by unknown initial or boundary conditions in the data owing to a special propertyattending Shinbrot-type modulating functions. Application is made to perturbation equationmodeling of the longitudinal and lateral dynamics of a high performance aircraft using flight-test data. Comparative studies are included which demonstrate potential advantages of thealgorithm relative to some well established techniques for parameter identification. Deter-ministic least squares extensions of the approach are made to the frequency transfer functionidentification problem for linear systems and to the parameter identification problem for aclass of nonlinear time-varying differential system models.J Professor of Engineering

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