Proceedings of the 1998 American Control Conference. ACC (IEEE Cat. No.98CH36207) 1998
DOI: 10.1109/acc.1998.703559
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Global nonlinear parametric modelling with application to F-16 aerodynamics

Abstract: A global nonlinear parametric modeling technique is described and demonstrated. The technique uses multivariate orthogonal modeling functions generated from the data to determine nonlinear niodel structure, then expands each retained modeling function into an ordinary multivariate polynomial. The final model form is a finite multivariate power series expansion for the dependent variable in terms of the independent variables. Partial derivatives of the identified models can be used to assemble globally valid li… Show more

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Cited by 85 publications
(94 citation statements)
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“…More recently, Morelli [21,29] and Grauer [30] applied a multi-variate polynomial model obtained from an orthogonal model structure selection to various aircraft. The latter model structure selection technique transforms the full set of candidate regressors to the orthogonal domain in order to test the significance of each parameter.…”
Section: Model Structure Selectionmentioning
confidence: 99%
“…More recently, Morelli [21,29] and Grauer [30] applied a multi-variate polynomial model obtained from an orthogonal model structure selection to various aircraft. The latter model structure selection technique transforms the full set of candidate regressors to the orthogonal domain in order to test the significance of each parameter.…”
Section: Model Structure Selectionmentioning
confidence: 99%
“…The principles of regression analysis are well known and previously applied in many different researches in the framework of aerodynamic system identification [20,21,22]. The ordinary least squares (OLS) estimator, defined as the minimum residual…”
Section: Parameter Estimationmentioning
confidence: 99%
“…The wide range of SID tools that have been developed for aircraft system identification can easily be used to analyze CFD data computed for aircraft in prescribed motion. Here we follow the global nonlinear parameter modeling technique proposed by Morelli [13] to describe the functional dependence between the motion and the computed aerodynamic response in terms of force and moment coefficients. The goal is to find a model which has adequate complexity to capture the nonlinearities while keeping the number of terms in the model low.…”
Section: System Identification Analysis (Sidpac)mentioning
confidence: 99%