In this paper we study the problem of active feedback controller design for a thin airfoil, whose mathematical model is derived from classical Theodorsen's formulation. A finite dimensional controller stabilizing the original infinite dimensional model is obtained using H°° control techniques. We also consider the gust alleviation problem and show that it can be formulated as a disturbance attenuation problem in the mixed H 2 IH" control framework. We use existing results on H™ and mixed H 2 /^ control to illustrate our approach with a numerical example.
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