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International Journal of Aerospace Engineering
Volume 2015, Article ID 237804, 13 pages
http://dx.doi.org/10.1155/2015/237804
Research Article

Iterative Learning Control of a Nonlinear Aeroelastic System despite Gust Load

School of Automation, Northwestern Polytechnical University, 127 West Youyi Road, Xi’an, Shaanxi 710072, China

Received 26 August 2015; Revised 7 November 2015; Accepted 10 November 2015

Academic Editor: Mahmut Reyhanoglu

Copyright © 2015 Xing-zhi Xu et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

The development of a control strategy appropriate for the suppression of aeroelastic vibration of a two-dimensional nonlinear wing section based on iterative learning control (ILC) theory is described. Structural stiffness in pitch degree of freedom is represented by nonlinear polynomials. The uncontrolled aeroelastic model exhibits limit cycle oscillations beyond a critical value of the free-stream velocity. Using a single trailing-edge control surface as the control input, a ILC law under alignment condition is developed to ensure convergence of state tracking error. A novel Barrier Lyapunov Function (BLF) is incorporated in the proposed Barrier Composite Energy Function (BCEF) approach. Numerical simulation results clearly demonstrate the effectiveness of the control strategy toward suppressing aeroelastic vibration in the presence of parameter uncertainties and triangular, sinusoidal, and graded gust loads.