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Lee, B.H.K., Price, S.J., Wong, Y.S.: Nonlinear aeroelastic analysis of airfoils: bifurcation and chaos. It should be emphasized that the employed algorithm is still effective to high-dimensional nonlinear aeroelastic systems.įung, Y.C.: An Introduction to The Theory Aeroelasticity. Besides, it is highly robust to Gaussian white and even more complex heavy-tailed measurement noises. All the obtained results indicate that the introduced algorithm is applicable for the airfoil model with cubic or free-play structural nonlinearity and leads to accurate state and parameter estimations. Effectiveness and feasibility of the method are examined under several simulated measurement data corrupted by different measurement noises. A single objective optimization problem is constructed with the classical Runge–Kutta scheme, and then estimations of the system states, the measurement noise and even the unknown parameters are obtained simultaneously through minimizing the objective function. Therein, the governing equations of the airfoil model are assumed to be known or only partially known. A state-of-the-art technique is employed in this study to explore the fixed-interval smoothing problem of a conceptual two-dimensional airfoil model in incompressible flow from noisy measurement data. However, the existing sequential filters and smoothers usually cannot deal with nonlinear or high-dimensional systems well. Fixed-interval smoothing, as one of the most important types of state estimation, has been concerned in many practical problems especially in the analysis of flight test data.