Fuzzy Approximation by a Novel Levenberg–Marquardt Method for Two-Degree-of-Freedom Hypersonic Flutter Model

Author:

Wang Y. H.12,Zhu L.3,Wu Q. X.4,Jiang C. S.4

Affiliation:

1. College of Automation Engineering, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China;

2. Key Laboratory of Optical-Electrics Control Technology, Luoyang 471009, China e-mail:

3. Shanghai Aircraft Airworthiness, Certification Center of CAAC, Shanghai 200335, China e-mail:

4. College of Automation Engineering, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China

Abstract

The two-degree-of-freedom (2DOF) hypersonic flutter dynamical system has strong aeroelastic nonlinearities, and it is very difficult to obtain a more precise mathematical model. By considering varying learning rate and σ-modification factor, a novel Levenberg– Marquardt (L–M) method is proposed, based on which, an online fuzzy approximation scheme for 2DOF hypersonic flutter model is established without any human knowledge. Compared with the standard L–M method, the proposed method can obtain faster converge speed and avoid parameter drift. Numerical simulations approve the advantages of the proposed scheme.

Publisher

ASME International

Subject

General Engineering

Reference24 articles.

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3. Limit Cycle Oscillation Prediction for Aeroelastic Systems With Discrete Bilinear Stiffness;Int. J. Appl. Math. Mech.,2005

4. Bifurcation Analysis of Aircraft With Structural Nonlinearity and Freeplay Using Numerical Continuation;J. Aircr.,2008

5. Limit-Cycle Stability Reversal Via Singular Perturbation and Wing-Flap Flutter;J. Fluids Struct.,2004

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