Active flutter suppression for two-dimensional airfoil based on improved SDRE nonlinear robust control

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Journal of Vibration and Shock ›› 2017, Vol. 36 ›› Issue (10) : 149-153.

GOU Yi-yong, LI Hong-bo, DONG Xin-min, YANG Ren-nong ,ZUO Ren-wei

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Abstract

In order to achieve active flutter suppression of a two-dimensional airfoil, an improved state-dependent Riccati equation (SDRE) nonlinear robust control law is proposed based on Lyapunov stability theory. The model of a two-dimensional airfoil with leading- and trailing-edge control surfaces are described in state space, and then this model is transformed into a form which input matrix is full row rank matrix. The problem that SDRE nonlinear control method can’t be directly applied to active flutter suppression is solved. The simulation results are presented, which show the closed-loop system reaches to stability quickly under the impact of wind gust even if there is a hard constraint on the control input and flutter suppression is accomplished effectively. In addition, adjusting the weighting parameters and can decrease control inputs.

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two-dimensional airfoil / nonlinear robust control / flutter / state-dependent Riccati equation

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GOU Yi-yong, LI Hong-bo, DONG Xin-min,YANG Ren-nong,ZUO Ren-wei. Active flutter suppression for two-dimensional airfoil based on improved SDRE nonlinear robust control[J]. Journal of Vibration and Shock, 2017, 36(10): 149-153

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