Nonlinear Model Aircraft Identification using SINDy with a New Mathematical Structure Proposed
Abstract
Abstract The challenge of nonlinear aircraft identification, not only of the parameters but also of the structural equations, has been successfully achieved in the current literature. The most suitable technique solution is the data-driven approach. These stratagems allow dealing poor data, noise, and perturbations, including the difficulty of flight implementation, even in the presence of instabilities. Nevertheless, prior research has failed to provide a formal mathematical structure, such as a baseline for parameter identification. A new structure for aircraft identification has been proposed; this structure is reliable for other aircraft's nonlinear dynamics. An identification of nonlinear dynamics in simulations using SINDY and the proposed structure has been performed, demonstrating its validity. The SINDy method was compared with classical Linear Regression with Least Squares, yielding acceptable results with the proposed structure in both cases, though with some disadvantages in simple Linear Regression, as expected.
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