Optimal robust control of aeroelastic system vibrations

K. Bousson

Journal of Vibroengineering, Vol. 12, Issue 1, 2010, p. 13-25.
Received 29 September 2009; accepted 27 November 2009; published 31 March 2010

Copyright © 2010 Vibroengineering 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.
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Abstract. "A method for global and robust stabilization of aeroelastic wing vibrations based on optimal feedback control concepts is described in the present paper using Lyapunov stability theory. The method consists in decomposing the system model into a stabilizable linear part and a nonlinear part that satisfies sector-bound inequality; then a control law is designed to guarantee the global stabilization of the system and a specified robustness degree of the closed-loop dynamics. The validation of the method on aeroelastic wing section demonstrates better control performances over existing methods. The main contribution of the proposed method is that it allows one to design a linear controller that globally stabilizes a highly nonlinear system up to a specified degree of robustness without assuming any stability condition about the linear part, or matching conditions about the nonlinear uncertainties, contrarily to existing methods about optimal robust control"

Keywords: aeroelastic vibrations, stabilization, optimal robust control, Lyapunov stability theory.